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<str<strong>on</strong>g>1st</str<strong>on</strong>g> <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong><br />

<strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems<br />

DyCoSS'2012<br />

The first in the series <strong>of</strong> events organized by the Internati<strong>on</strong>al Academy <strong>of</strong> Astr<strong>on</strong>autics (<str<strong>on</strong>g>IAA</str<strong>on</strong>g>)<br />

with the cooperati<strong>on</strong> <strong>of</strong> the American Astr<strong>on</strong>autical Society (AAS) aiming to join specialists in<br />

dynamics <strong>and</strong> c<strong>on</strong>trol <strong>of</strong> <strong>space</strong> systems is held in Porto, Portugal in the Hotel HF Ipanema Porto<br />

<strong>on</strong> March 19-21, 2012.<br />

The <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> DyCoSS’2012 is followed by a satellite event, 7th Internati<strong>on</strong>al Workshop <strong>and</strong><br />

Advanced School “Spaceflight <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol” organized at the Engineering School <strong>of</strong> the<br />

Porto University <strong>on</strong> March 22-23, 2012 (see the reverse side <strong>of</strong> this booklet).<br />

The c<strong>on</strong>ference focus <strong>on</strong> topics related to analysis <strong>of</strong> <strong>space</strong> systems, namely:<br />

• Attitude dynamics <strong>and</strong> c<strong>on</strong>trol<br />

• Attitude sensors <strong>and</strong> actuators<br />

• Missi<strong>on</strong> design <strong>and</strong> optimizati<strong>on</strong><br />

• Optimal c<strong>on</strong>trol in <strong>space</strong> flight dynamics<br />

• Orbital dynamics <strong>and</strong> determinati<strong>on</strong><br />

• Satellite c<strong>on</strong>stellati<strong>on</strong>s <strong>and</strong> formati<strong>on</strong> flying<br />

• Space structures <strong>and</strong> tethers<br />

• Spacecraft guidance, navigati<strong>on</strong> <strong>and</strong> c<strong>on</strong>trol<br />

During the c<strong>on</strong>ference, the complete manuscripts will be available <strong>on</strong> the c<strong>on</strong>ference web page.<br />

The c<strong>on</strong>ference proceedings will be published by Univelt, Inc. in AAS Advances in the<br />

Astr<strong>on</strong>autical Sciences Series.<br />

A selecti<strong>on</strong> <strong>of</strong> the best papers will be recommended for publishing, after peer review, in a<br />

Special Issue <strong>of</strong> the journal Acta Astr<strong>on</strong>autica.<br />

The working language for the c<strong>on</strong>ference is English.<br />

REGISTRATION FEES:<br />

Early Bird (registered <strong>and</strong> paid before January 30, 2012) 300€<br />

Regular (registered <strong>and</strong> paid from January 31, 2012 to March 5, 2012) 350€<br />

On-site Registrati<strong>on</strong> (<strong>on</strong>ly in cash <strong>and</strong> in euros) 400€<br />

The registrati<strong>on</strong> fee includes:<br />

• Access to c<strong>on</strong>ference sessi<strong>on</strong>s<br />

• CD with <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> Proceedings (published by UNIVELT)<br />

• <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> Dinner, lunches <strong>and</strong> c<strong>of</strong>fee breaks as scheduled in the c<strong>on</strong>ference<br />

program<br />

Registrati<strong>on</strong> fee for Accompanying pers<strong>on</strong>: 150€<br />

The registrati<strong>on</strong> fee for accompanying pers<strong>on</strong> includes:<br />

• <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> Dinner, lunches <strong>and</strong> c<strong>of</strong>fee breaks as scheduled in the c<strong>on</strong>ference program<br />

1


Program <strong>and</strong> Organizing Committees<br />

FINAL PROGRAM<br />

Co-chairs:<br />

Peter M. Bainum, USA, Jean-Michel C<strong>on</strong>tant, France, Anna D. Guerman, Portugal<br />

Members:<br />

Kyle Terry Alfriend, USA<br />

Hyocho<strong>on</strong>g Bang, Korea<br />

Franco Bernelli, Italy<br />

James Biggs, UK<br />

Jeng-Shing Chern “Rock”, Taiwan<br />

Bernd Dachwald, Germany<br />

Harij<strong>on</strong>o Djojodihardjo, Malaysia<br />

Ant<strong>on</strong>io Elipe, Spain<br />

Margarida Ferreira, Portugal<br />

David Folta, USA<br />

Ijar F<strong>on</strong>seca, Brazil<br />

Gerard Gomes, Spain<br />

Filippo Graziani, Italy<br />

Christopher D. Hall, USA<br />

Kathleen Howell, USA<br />

Junichiro Kawaguchi, Japan<br />

Ivan Kosenko, Russia<br />

Richard L<strong>on</strong>gman, USA<br />

Robert Melt<strong>on</strong>, USA<br />

Arun Misra, Canada<br />

Yasuhiro Morita, Japan<br />

Michael Ovchinnikov, Russia<br />

Maria Rosario Pinho, Portugal<br />

Ant<strong>on</strong>io Bertachini Prado, Brazil<br />

Georgi Smirnov, Portugal<br />

David B. Spencer, USA<br />

Paolo Te<strong>of</strong>ilatto, Italy<br />

Zhang Wei-Hua, China<br />

Local Organizing Commitee<br />

Anna D. Guerman, University <strong>of</strong> Beira Interior, Portugal, coordinator<br />

Margarida Ferreira, University <strong>of</strong> Porto, Portugal, coordinator<br />

Maria Rosario Pinho, University <strong>of</strong> Porto, Portugal<br />

Miguel Ângelo Silvestre, University <strong>of</strong> Beira Interior, Portugal<br />

Georgi Smirnov, University <strong>of</strong> Minho, Portugal<br />

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1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

PROGRAM AT A GLANCE<br />

CONFERENCE SCHEDULE<br />

Room Ipanema I Ipanema II Biombo<br />

M<strong>on</strong>day, 19.03<br />

08:30-10:00<br />

10:00-12:30<br />

12:30-14:00<br />

REGISTRATION<br />

OPENING SESSION - ROOM PORTO<br />

LUNCH<br />

14:00-17:20 ADC 1 ODD 1 SGNC 1<br />

17:30-18:00 FP7 SPACE<br />

19:00-21:30 <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> Dinner<br />

Tuesday, 20.03<br />

08:30-12:30 ASA MDO 1 SCFF 1<br />

12:30-14:00 LUNCH<br />

14:00-18:00 ADC 2 ODD 2 SGNC 2<br />

Wednesday, 21.03<br />

08:30-12:30 SST MDO 2 SCFF 2<br />

12:30-14:00 LUNCH<br />

14:00-18:00 ADC 3 OCSFD SGNC 3<br />

ADC • Attitude dynamics <strong>and</strong> c<strong>on</strong>trol<br />

ASA • Attitude sensors <strong>and</strong> actuators<br />

MDO • Missi<strong>on</strong> design <strong>and</strong> optimizati<strong>on</strong><br />

ODD • Orbital dynamics <strong>and</strong> determinati<strong>on</strong><br />

OCSFD • Optimal c<strong>on</strong>trol in <strong>space</strong> flight dynamics<br />

SCFF • Satellite c<strong>on</strong>stellati<strong>on</strong>s <strong>and</strong> formati<strong>on</strong> flying<br />

SGNC • Spacecraft guidance, navigati<strong>on</strong> <strong>and</strong> c<strong>on</strong>trol<br />

SST • Space structures <strong>and</strong> tethers<br />

3


FINAL PROGRAM<br />

City <strong>of</strong> Porto<br />

Porto is the sec<strong>on</strong>d largest city in Portugal <strong>and</strong><br />

<strong>on</strong>e <strong>of</strong> the major urban areas in the Iberian<br />

Peninsula. Porto is the largest city <strong>of</strong> Northern<br />

Portugal. The Historic Centre <strong>of</strong> Porto,<br />

classified as World Heritage by UNESCO, is <strong>on</strong>e<br />

<strong>of</strong> the most attractive entertainment venues<br />

for visitors, providing a rich variety <strong>of</strong><br />

m<strong>on</strong>uments <strong>and</strong> ordinary dwelling, from<br />

different periods stretching back as far as the<br />

14th century. The city <strong>of</strong> Porto <strong>and</strong> its river,<br />

Douro, cannot be dissociated. The Douro valley,<br />

with its lovely terraces <strong>of</strong> vineyards clinging to<br />

the hillsides, is the kingdom <strong>of</strong> the famous Port<br />

Wine (IVDP Web site) <strong>and</strong> <strong>of</strong>fers visitors<br />

spectacular views. Porto is the centre <strong>of</strong> a culturally <strong>and</strong> naturally rich regi<strong>on</strong> that gathers<br />

together history, arts <strong>and</strong> nature (sea <strong>and</strong> mountains); it is a perfect starting point for tourist<br />

excursi<strong>on</strong>s.<br />

The City <strong>of</strong> Porto has <strong>on</strong>e <strong>of</strong> the richest artistic, cultural <strong>and</strong> historical heritages in Portugal.<br />

This was <strong>of</strong>ficially recognized by UNESCO which c<strong>on</strong>sidered Porto as "World Heritage".<br />

Porto is also a city where its history can be found in a small street or in a dialogue with its<br />

inhabitants, so we invite you to explore it.<br />

Porto Wine is world-famous <strong>and</strong> has left its mark in<br />

Porto. Although this wine comes from the schistose<br />

l<strong>and</strong>s <strong>of</strong> the High Douro regi<strong>on</strong>, it is brought to age in<br />

Vila Nova de Gaia, in the semi-darkness <strong>of</strong> the<br />

cellars, in oak casks or in bottles.<br />

This precious nectar has endured <strong>and</strong>, as time goes<br />

by, it improves its qualities. Visiting the Porto Wine<br />

Cellars is a must: the various companies <strong>of</strong>fer an unique opportunity to discover this universe <strong>of</strong><br />

subtle charms, to learn the secrets <strong>of</strong> this generous wine <strong>and</strong> to taste it.<br />

Many opti<strong>on</strong>al programs are available to visit Porto <strong>and</strong> its surroundings. A sample <strong>of</strong> these<br />

programs is presented.<br />

Porto also <strong>of</strong>fers a wide range <strong>of</strong> restaurants with traditi<strong>on</strong>al Portuguese cuisine or more<br />

modern <strong>and</strong> internati<strong>on</strong>al flavors.<br />

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1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

Visiting Porto<br />

In recent years, UNESCO recognized Porto<br />

historic center as a World Heritage Site. Am<strong>on</strong>g<br />

the architectural highlights <strong>of</strong> the city, the<br />

Porto Cathedral is the oldest surviving<br />

structure, together with the small Romanesque<br />

Church <strong>of</strong> Ced<strong>of</strong>eita, the Gothic Igreja de São<br />

Francisco (Church <strong>of</strong> Saint Francis), the<br />

remnants <strong>of</strong> the city walls <strong>and</strong> a few 15thcentury<br />

houses. The baroque style is well<br />

represented in the city in the elaborate gilt<br />

work interior decorati<strong>on</strong> <strong>of</strong> the churches <strong>of</strong> St.<br />

Francis <strong>and</strong> St. Claire (Santa Clara), the<br />

churches <strong>of</strong> Mercy (Misericórida) <strong>and</strong> <strong>of</strong> the<br />

Clerics (Igreja dos Clérigos), the Palace <strong>of</strong> the Archbishop, <strong>and</strong> others. The neoclassicism <strong>and</strong><br />

romanticism <strong>of</strong> the 19th <strong>and</strong> 20th centuries also added interesting<br />

m<strong>on</strong>uments to the l<strong>and</strong>scape <strong>of</strong> the city, like the magnificent Stock<br />

Exchange Palace (Palácio da Bolsa), the Hospital <strong>of</strong> Saint Anth<strong>on</strong>y,<br />

the Municipality, the buildings in the Avenida dos Aliados, the tileadorned<br />

Sao Bento Train Stati<strong>on</strong> <strong>and</strong> the gardens <strong>of</strong> the Crystal<br />

Palace (Palácio de Cristal). A guided visit to the Palácio da Bolsa,<br />

<strong>and</strong> in particular the Arab Room, is a major tourist attracti<strong>on</strong>.<br />

Porto has several museums, c<strong>on</strong>cert halls, theaters, cinemas, art<br />

galleries, libraries <strong>and</strong> book shops. The best-known museums <strong>of</strong><br />

Porto are the Soares dos Reis Nati<strong>on</strong>al Museum (Museu Naci<strong>on</strong>al de<br />

Soares dos Reis), which is dedicated especially to the Portuguese<br />

artistic movements from the 16th to the 20th century, <strong>and</strong> the<br />

Museum <strong>of</strong> C<strong>on</strong>temporary Art <strong>of</strong> the Serralves Foundati<strong>on</strong> (Museu de<br />

Arte C<strong>on</strong>temporânea). The city has c<strong>on</strong>cert halls <strong>of</strong> a rare beauty<br />

<strong>and</strong> elegance such as the Coliseu do Porto by the Portuguese<br />

architect Cassiano Branco; an exquisite example <strong>of</strong> the Portuguese decorative arts, it is seen by<br />

many as <strong>on</strong>e <strong>of</strong> the best <strong>and</strong> most elegant c<strong>on</strong>cert halls in Europe. Other notable venues include<br />

the Rivoli theatre, the Batalha cinema <strong>and</strong> the recent Casa da Música. The Guardian elaborated<br />

a list <strong>of</strong> world's top bookshops, featuring Lello in third.<br />

Taylor’s Port Wine Cellars<br />

Taylors’s Port wine cellars is <strong>on</strong>e <strong>of</strong> the many<br />

Port Wine Cellars in Vila Nova de Gaia, the city<br />

<strong>on</strong> the other side <strong>of</strong> the river Douro in Porto.<br />

Surrounded by leafy quarters, resistant to the<br />

city's approaches, Taylor’s Porto Wine Cellars –<br />

established in 1692 <strong>and</strong> <strong>on</strong>es <strong>of</strong> the few that still<br />

bel<strong>on</strong>g to the descendants <strong>of</strong> the founding<br />

Families - match elegant interiors within<br />

beautiful natural gardens; an ambiance which<br />

lends luxury to gr<strong>and</strong> banquets <strong>and</strong> intimacy to<br />

family celebrati<strong>on</strong>s, not to menti<strong>on</strong> the<br />

5


FINAL PROGRAM<br />

appropriate envir<strong>on</strong>ment for business entertainment <strong>and</strong> meetings. Its Kitchen allows to delight<br />

proposals <strong>of</strong> Portuguese <strong>and</strong> internati<strong>on</strong>al gastr<strong>on</strong>omy, while we are able to enjoy the <strong>on</strong>e that<br />

is c<strong>on</strong>sidered the most spectacular sight for the old Port <strong>and</strong> World- wide Heritage declared<br />

z<strong>on</strong>e for UNESCO.<br />

Douro Cruise<br />

Boarding at Gaia Quay for a Douro Cruise will provide a “different perspective” <strong>of</strong> the historical<br />

z<strong>on</strong>e <strong>of</strong> the city <strong>of</strong> Porto. The cruise takes approximately 3 Hours <strong>and</strong> will make the passage<br />

between the Freixo Bridge <strong>and</strong> the z<strong>on</strong>e <strong>of</strong> the Afurada.<br />

Porto Wine Museum<br />

The Port Wine Museum is settled <strong>on</strong> the ground floor <strong>of</strong><br />

the Cais Novo warehouse, a building from the<br />

seventeenth century which was built to be the wine<br />

deposit <strong>of</strong> the Companhia Geral da Agricultura das<br />

Vinhas do Alto Douro (General Company <strong>of</strong> Agriculture<br />

<strong>of</strong> the Alto Douro Vineyards). This museum is<br />

dedicated to the study <strong>of</strong> the relevance <strong>of</strong> Port Wine<br />

<strong>and</strong> its trade to the development <strong>of</strong> the city. Porto's<br />

history cannot be dissociated from the history <strong>of</strong> the<br />

wine that made the city famous worldwide. It c<strong>on</strong>diti<strong>on</strong>ed the city's cultural, architectural <strong>and</strong><br />

social growth. The Museum is intended to be a memory <strong>of</strong> all those influences <strong>and</strong><br />

transformati<strong>on</strong>s, <strong>and</strong> at the same time, it c<strong>on</strong>veys the history <strong>of</strong> the three Portos brought<br />

together: Porto the city, Porto (Port) the wine, <strong>and</strong> Porto the Douro river harbor.<br />

Casa da Música<br />

Casa da Música was c<strong>on</strong>ceived to mark 2001, the year<br />

in which Porto was Cultural Capital <strong>of</strong> Europe, <strong>and</strong> it<br />

is the first new building in Portugal to be entirely<br />

dedicated to music - to the presentati<strong>on</strong> <strong>and</strong> public<br />

enjoyment <strong>of</strong> music, to music educati<strong>on</strong> <strong>and</strong> to the<br />

creati<strong>on</strong> <strong>of</strong> music.<br />

The project took shape in 1999 after the Rem<br />

Koolhaas & Ellen van Lo<strong>on</strong> - Office for Metropolitan<br />

Architecture w<strong>on</strong> the internati<strong>on</strong>al architectural<br />

competiti<strong>on</strong>. Work began in 1999 <strong>on</strong> the site <strong>of</strong><br />

Porto's former central tram garage <strong>on</strong> the Rotunda da<br />

Boavista, <strong>and</strong> Casa da Música opened its doors to the<br />

public <strong>on</strong> April 15th, 2005.<br />

Casa da Música was planned as a home for all types <strong>of</strong><br />

music <strong>and</strong> it is not <strong>on</strong>ly part <strong>of</strong> the urban<br />

redevelopment <strong>of</strong> Porto but also part <strong>of</strong> a network <strong>of</strong><br />

cultural facilities, for the city <strong>of</strong> Porto <strong>and</strong> for the<br />

wider world. Underlying it is an innovative <strong>and</strong> wideranging<br />

cultural project, which aims to make an<br />

exciting c<strong>on</strong>tributi<strong>on</strong> to the nati<strong>on</strong>al <strong>and</strong> internati<strong>on</strong>al<br />

6


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

music scene, as an arena for all types <strong>of</strong> musical events - from classical music to jazz, from<br />

fado to electr<strong>on</strong>ic music, from great internati<strong>on</strong>al producti<strong>on</strong>s to more experimental projects.<br />

Besides c<strong>on</strong>certs, recitals <strong>and</strong> other types <strong>of</strong> performance, Casa da Música also organises events<br />

for musicians <strong>and</strong> musicologists <strong>and</strong> invests in research into the origins <strong>of</strong> Portuguese music. In<br />

additi<strong>on</strong>, it plays a very important role in music educati<strong>on</strong>. It is a cultural meeting point<br />

between music <strong>and</strong> other areas <strong>of</strong> artistic creati<strong>on</strong> <strong>and</strong> knowledge, providing a <strong>space</strong> for all<br />

kinds <strong>of</strong> audiences <strong>and</strong> creators.<br />

Located <strong>on</strong> the top floor <strong>of</strong> Casa da Música, the<br />

restaurant is the <strong>on</strong>ly room with access to the outdoor<br />

terrace. It is a large seven-meter high room with<br />

restful colours <strong>and</strong> excellent cuisine.<br />

The best way to get to know Casa da Música is to take<br />

a guided tour. These tours, led by guides who describe<br />

<strong>and</strong> explain the building, its c<strong>on</strong>structi<strong>on</strong>, its<br />

architecture <strong>and</strong> its functi<strong>on</strong> last approximately <strong>on</strong>e<br />

hour.<br />

GUIDED TOURS: Daily<br />

Portuguese 11:00 | 16:00; English 16:00<br />

Booked visits (groups) 15-35 people at pre-arranged times<br />

Booking Ph.: 220 120 210<br />

visitasguiadas@casadamusica.com<br />

4€/pers<strong>on</strong> (free entry to children up to age 12, <strong>on</strong>ce accompanied by an adult with ticket)<br />

<str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> Venue<br />

Hotel Ipanema Porto 4*<br />

Located at the main entrance to the city (near the<br />

Arrábida bridge), the HF Ipanema Porto is<br />

surrounded by shopping centers, cinemas, theatres<br />

<strong>and</strong> the Casa da Música music Hall <strong>and</strong> is very near<br />

to the city`s main sports stadium, the Pavilhão Rosa<br />

Mota. The historic part <strong>of</strong> the city, São Bento railway<br />

stati<strong>on</strong> <strong>and</strong> the Port wine cellars are <strong>on</strong>ly 10 minutes<br />

away. With a l<strong>on</strong>gst<strong>and</strong>ing presence in the city, the<br />

HF Ipanema Porto has recently been renovated <strong>and</strong><br />

redecorated to provide a more modern, comfortable<br />

<strong>and</strong> practical atmosphere.<br />

Rua do Campo Alegre, 156/172<br />

4150-169 Porto<br />

Ph<strong>on</strong>e: + 351 226 075 059<br />

Fax: + 351 226 063 339<br />

Email: hfipanemaporto@hfhotels.com<br />

Site: www.hfhotels.com/hfipanemaporto<br />

GPS coordinates: 8º 37' 48" O / 41º 09' 09" N<br />

7


How to get there<br />

From the airport to the hotel<br />

By metro:<br />

FINAL PROGRAM<br />

In the Metro do Aeroporto metro stati<strong>on</strong>, take the line E in towards the Estádio do Dragão metro<br />

stati<strong>on</strong>. Exit in Casa da Música (HF Ipanema Porto is 1 Km away)<br />

By bus:<br />

Near the airport, take the bus no. 601 (in directi<strong>on</strong> to Cordoaria), <strong>and</strong> get <strong>of</strong>f at Casa da Música<br />

(HF Ipanema Porto is 1 Km away).<br />

From downtown to the hotel<br />

By metro:<br />

Leaving from the Avenida dos Aliados, c<strong>on</strong>tinue by going up towards the Trindade metro stati<strong>on</strong><br />

(behind the City Hall/Câmara Municipal do Porto) <strong>and</strong> take the line A, B, C, or E, towards Casa<br />

da Música.<br />

By bus:<br />

Leaving from the Avenida dos Aliados, take the bus no. 200 (towards Castelo do Queijo) or the<br />

bus no. 207 (towards Foz-Mercado) at the Praça D. João I (next to the Teatro Rivoli). Get <strong>of</strong>f<br />

the bus at the Massarelos bus stop (the HF Ipanema Porto is located within 50m).<br />

By car:<br />

Leaving from the Avenida dos Aliados, go up the street until the traffic lights, <strong>and</strong> turn left to<br />

Rua de Ceuta, then entering the Túnel de Ceuta. Once in the tunnel, c<strong>on</strong>tinue towards Hospital<br />

Sto. António. In the exit <strong>of</strong> the tunnel take the right, passing through the Palácio de Cristal up<br />

to Praça da Galiza. At the traffic lights turn left to Rua do Campo Alegre (the HF Ipanema Porto<br />

is 500 metres away.)<br />

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1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

At the hotel<br />

Rooms<br />

Ipanema I, Ipanema II <strong>and</strong> Biombo c<strong>on</strong>ference rooms are located in floor -1 <strong>of</strong> Ipanema Porto<br />

Hotel<br />

Ipanema Porto Floor -1 map:<br />

9


FINAL PROGRAM<br />

DyCoSS Program<br />

M<strong>on</strong>day, March 19, 2012<br />

Opening Sessi<strong>on</strong> (<str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> Room "Porto") 10:00-12:30<br />

Opening Cerem<strong>on</strong>y:<br />

Pr<strong>of</strong>. Kathleen Howell, Purdue University, the Editor-in-Chief <strong>of</strong> the Journal <strong>of</strong> the<br />

Astr<strong>on</strong>autical Sciences, American Astr<strong>on</strong>autical Society<br />

Dr. António Neto da Silva, President <strong>of</strong> Proespaço, the Portuguese Associati<strong>on</strong> <strong>of</strong> Space<br />

Industries<br />

"PORTUGUESE NATIONAL STRATEGY FOR THE SPACE INDUSTRY - THE PROESPAÇO<br />

PROPOSAL"<br />

Dr. Jean-Michel C<strong>on</strong>tant, Secretary General, Internati<strong>on</strong>al Academy <strong>of</strong> Astr<strong>on</strong>autics<br />

"THE INTERNATIONAL ACADEMY OF ASTRONAUTICS AND ASTRODYNAMICS: FIFTY YEARS<br />

OF EXCELLENCE"<br />

Keynote lecture:<br />

Dr C<strong>on</strong>stantinos Stavrinidis, Head <strong>of</strong> Mechanical Engineering Department, ESA-ESTEC<br />

"DYNAMICS AND CONTROL OF SPACE SYSTEMS"<br />

Lunch 12:30-14:00<br />

Sessi<strong>on</strong> 01:<br />

Attitude <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol I ( Ipanema I)<br />

Chairs: Richard LONGMAN <strong>and</strong> Yasuhiro MORITA<br />

14:00-17:20<br />

14:00<br />

THERMAL ANALYSIS OF THE PIONEER SPACECRAFT<br />

AND THE ANOMALOUS ACCELERATION<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-01-01<br />

Orfeu Bertolami, Frederico Francisco,<br />

Paulo Gil, <strong>and</strong> Jorge Páramos<br />

We present a method to evaluate the <strong>on</strong>-board thermal effects <strong>on</strong> the Pi<strong>on</strong>eer <strong>space</strong>craft<br />

<strong>and</strong> to compute the resulting accelerati<strong>on</strong>. It is shown that anomalous accelerati<strong>on</strong> problem<br />

is likely to be resolved.<br />

14:20<br />

CLOSED FORM INTEGRATION OF THE HITZL-BREAKWELL<br />

PROBLEM IN ACTION-ANGLE VARIABLES<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-01-02<br />

F. Javier Molero, Sebastián Ferrer, <strong>and</strong> Martin Lara<br />

As an alternative to recent efforts in giving a complete soluti<strong>on</strong> to the attitude propagati<strong>on</strong><br />

<strong>of</strong> a tumbling triaxial satellite under gravity-gradient, we reformulate the problem in acti<strong>on</strong>angle<br />

variables. The new soluti<strong>on</strong> is computed by the Lie-Deprit approach <strong>and</strong> is given in<br />

closed form, either for the secular or periodic terms, therefore being valid for any triaxial<br />

satellite. Comparis<strong>on</strong>s with other approaches in the literature using n<strong>on</strong>-acti<strong>on</strong>-angle<br />

10


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

variables show the efficiency <strong>of</strong> the new soluti<strong>on</strong> for a variety <strong>of</strong> test cases.<br />

14:40<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-01-03<br />

THE DYNAMICS AND CONTROL OF AXIAL<br />

SATELLITE GYROSTAT OF VARIABLE STRUCTURE<br />

Vladimir Aslanov<br />

This paper presents the study <strong>of</strong> the dynamics <strong>and</strong> c<strong>on</strong>trol <strong>of</strong> an axial variable structure<br />

satellite (asymmetric platform <strong>and</strong> an axisymmetric rotor). Inertia moments <strong>of</strong> the rotor<br />

change slowly over time. The dynamics <strong>of</strong> the satellite is described by using ordinary<br />

differential equati<strong>on</strong>s with Andoyer-Deprit can<strong>on</strong>ical variables. For undisturbed moti<strong>on</strong>, the<br />

stati<strong>on</strong>ary soluti<strong>on</strong>s are found, <strong>and</strong> their stability is studied. The c<strong>on</strong>trol law is obtained for<br />

the satellite with variable structure <strong>on</strong> the basis <strong>of</strong> the stati<strong>on</strong>ary soluti<strong>on</strong>s. By means <strong>of</strong><br />

computer numerical simulati<strong>on</strong>s, we have shown that the moti<strong>on</strong> <strong>of</strong> the satellite c<strong>on</strong>trolled<br />

by founded internal torque is stable.<br />

15:00<br />

STABILITY DIAGRAMS OF THE CYLINDRICAL EQUILIBRIA<br />

CONCISE FORM OF THE DYNAMIC AND KINEMATIC SOLUTIONS<br />

OF THE EULER-POINSOT PROBLEM<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-01-05<br />

Marcello Romano<br />

Known exact soluti<strong>on</strong>s <strong>of</strong> the Euler-Poinsot problem are presented in an original compact<br />

form, which is appealing for educati<strong>on</strong> <strong>and</strong> engineering practice. Soluti<strong>on</strong>s for the dynamics<br />

(angular velocity comp<strong>on</strong>ents) <strong>and</strong> for the kinematics (elements <strong>of</strong> the rotati<strong>on</strong> matrix) are<br />

given in two theorems. In particular, the dynamic soluti<strong>on</strong> initially proposed by Jacobi is<br />

formulated in a universal way, which does not c<strong>on</strong>tain any branching in cases. Furthermore,<br />

the rarely cited kinematic soluti<strong>on</strong> <strong>of</strong> Jacobi is re-written in modern notati<strong>on</strong>. The paper is<br />

intended to c<strong>on</strong>tribute to increase the familiarity <strong>and</strong> practical utilizati<strong>on</strong> <strong>of</strong> the exact<br />

soluti<strong>on</strong>s <strong>of</strong> the Euler-Poinsot problem.<br />

15:20<br />

ON STABILITY OF RELATIVE EQUILIBRIA<br />

FOR THE PENDULUM ATTACHED TO EQUATOR<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-01-06<br />

Alex<strong>and</strong>er Burov <strong>and</strong> Ivan Kosenko<br />

An existence <strong>and</strong> stability <strong>of</strong> relative equilibria for a pendulum attached to equator are<br />

under investigati<strong>on</strong>. It is known that inverted pendulum <strong>of</strong> small length is unstable: its<br />

degree <strong>of</strong> instability is equal to two. From the <strong>space</strong> elevator dynamics <strong>on</strong>e knows that the<br />

vertical equilibrium <strong>of</strong> the inverted pendulum is stable if the pendulum free end is located<br />

behind the Earth stati<strong>on</strong>ary orbit, <strong>and</strong> the degree <strong>of</strong> instability is equal to zero. It turns out<br />

there exists a length <strong>of</strong> the pendulum where new family <strong>of</strong> spatial equilibria arises, <strong>and</strong> the<br />

degree <strong>of</strong> instability grows from <strong>on</strong>e to two.<br />

C<strong>of</strong>fee-break 15:40-16:00<br />

16:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-01-07<br />

STABILITY OF SPINNING SATELLITE UNDER AXIAL THRUST<br />

Frank Janssens <strong>and</strong> Jozef van der Ha<br />

This paper c<strong>on</strong>siders a spinning rigid body <strong>and</strong> a particle with internal moti<strong>on</strong> under axial<br />

thrust. This model studies the c<strong>on</strong>ing anomaly that occurred near the end <strong>of</strong> orbit injecti<strong>on</strong>s<br />

performed by STAR-48 rocket motors. We investigate the stability <strong>of</strong> this system by means <strong>of</strong><br />

linearized equati<strong>on</strong>s about a uniform spin. The resulting stability c<strong>on</strong>diti<strong>on</strong> defines a<br />

manifold in the parameter <strong>space</strong> which provides valuable new insights. For example, the<br />

envelope <strong>of</strong> the stati<strong>on</strong>ary soluti<strong>on</strong>s is identical to the stability curve. The applicati<strong>on</strong> <strong>of</strong> the<br />

model is dem<strong>on</strong>strated using the orbit injecti<strong>on</strong> data <strong>of</strong> ESA’s Ulysses satellite in 1990.<br />

11


FINAL PROGRAM<br />

16:20<br />

MODES OF MOTION OF SOYUZ ORBITAL STAGE AFTER<br />

PAYLOAD SEPARATION AT CARRYING OUT THE<br />

SHORT-TERM RESEARCH EXPERIMENTS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-01-09<br />

Igor Belok<strong>on</strong>ov, Alex<strong>and</strong>r Storozh, <strong>and</strong> Ivan Timbay<br />

The unc<strong>on</strong>trolled moti<strong>on</strong> <strong>of</strong> Soyuz orbital stage after <strong>space</strong>craft separati<strong>on</strong> is c<strong>on</strong>sidered.<br />

Two variants <strong>of</strong> moti<strong>on</strong> are analyzed: using <strong>and</strong> without using <strong>of</strong> the jet nozzle for stage<br />

withdrawal from the <strong>space</strong>craft. Stochastic model <strong>of</strong> initial c<strong>on</strong>diti<strong>on</strong>s <strong>of</strong> angular moti<strong>on</strong> are<br />

generated. The influence <strong>of</strong> the gravitati<strong>on</strong>al <strong>and</strong> aerodynamic moments <strong>on</strong> the moti<strong>on</strong><br />

around orbital stage mass center is c<strong>on</strong>sidered. Orbital stage movement features shown in<br />

preservati<strong>on</strong> <strong>of</strong> certain angular orientati<strong>on</strong> during time, sufficient for the successful decisi<strong>on</strong><br />

<strong>of</strong> navigati<strong>on</strong>-communicati<strong>on</strong> problems at carrying out <strong>of</strong> short-term research experiments <strong>on</strong><br />

the Soyuz carrier rocket orbital stage after payload separati<strong>on</strong> are revealed.<br />

16:40<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-01-10<br />

ON-BOARD AUTONOMY FOR ISRO<br />

GEOSYNCHRONOUS SPACECRAFT<br />

Vinod Kumar, Avinash Kumar Kulakarni, K Parameshwaran,<br />

Ramalingam P<strong>and</strong>iyan, <strong>and</strong> Narinder Kumar Malik<br />

This paper will discuss development <strong>of</strong> the <strong>on</strong>-board aut<strong>on</strong>omy i.e. Fault Detecti<strong>on</strong> Isolati<strong>on</strong><br />

<strong>and</strong> Re-c<strong>on</strong>figurati<strong>on</strong> (FDIR) & Emergency Sun Re-acquisiti<strong>on</strong> (ESR) for the ISRO<br />

Geosynchr<strong>on</strong>ous communicati<strong>on</strong> <strong>space</strong>craft. The communicati<strong>on</strong> satellites are required to<br />

provide uninterrupted communicati<strong>on</strong> services. To ensure c<strong>on</strong>tinuous availability <strong>of</strong> these<br />

services <strong>and</strong> prevent loss due to failure in AOCS equipments has led to development <strong>of</strong> the<br />

self healing FDIR functi<strong>on</strong>s to survive the <strong>space</strong> envir<strong>on</strong>ment. The FDIR provides quick<br />

reacti<strong>on</strong> to rec<strong>on</strong>figure the <strong>space</strong>craft automatically in case any AOCS equipment<br />

malfuncti<strong>on</strong>s to prevent any possible attitude loss.<br />

Sessi<strong>on</strong> 02:<br />

Orbital <strong>Dynamics</strong> <strong>and</strong> Determinati<strong>on</strong> I (Ipanema II)<br />

Chairs: James BIGGS <strong>and</strong> Filippo GRAZIANI<br />

14:00-17:20<br />

14:00<br />

ACCELEROMETER DATA HANDLING<br />

FOR THE BEPICOLOMBO ORBIT DETERMINATION<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-02-01<br />

Elisa Maria Alessi, Stefano Cicalo, <strong>and</strong> Andrea Milani<br />

In this work, we will present the c<strong>on</strong>strained multi-arc strategy we developed to determine<br />

the orbit <strong>of</strong> the Mercury Planetary Orbiter <strong>of</strong> the BepiColombo missi<strong>on</strong> to Mercury <strong>and</strong><br />

estimate the gravimetry, rotati<strong>on</strong> <strong>and</strong> relativity parameters at the level required by the<br />

corresp<strong>on</strong>ding radioscience experiments. Due to the severe radiati<strong>on</strong> envir<strong>on</strong>ment the probe<br />

will experience, we have to include in the `solve for quantities' desaturati<strong>on</strong> maneuvers <strong>and</strong><br />

accelerometer digital calibrati<strong>on</strong>s. The latter kind <strong>of</strong> quantity is needed to absorb the<br />

systematic noise associated with the n<strong>on</strong> gravitati<strong>on</strong>al accelerati<strong>on</strong>s that the Italian Spring<br />

Accelerometer will measure.<br />

14:20<br />

AN ALGORITHM FOR ORBIT DETERMINATION OF NAVIGATION<br />

SATELLITES BASED ON A GROUND BEACON<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-02-02<br />

Zhiguo Chen, Pei Chen, <strong>and</strong> Chao Han<br />

A beac<strong>on</strong>-based orbit determinati<strong>on</strong> algorithm for navigati<strong>on</strong> satellites is proposed. In this<br />

strategy, signal is transmitted from a ground beac<strong>on</strong> stati<strong>on</strong> to navigati<strong>on</strong> satellites. An<br />

12


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

extended kalman filter (EKF) is utilized for the orbit determinati<strong>on</strong> algorithm. The state<br />

process <strong>and</strong> the observati<strong>on</strong> model are derived to establish the filter model. Based <strong>on</strong> <strong>on</strong>e<br />

ground beac<strong>on</strong> a <strong>on</strong>e-day simulati<strong>on</strong> is designed to respectively determine orbit <strong>of</strong> three GPS<br />

satellites in different orbital planes. According to results <strong>of</strong> the simulati<strong>on</strong> errors in estimate<br />

<strong>of</strong> positi<strong>on</strong> for satellites are less than 10m, <strong>and</strong> errors in estimate <strong>of</strong> clock bias are less than<br />

10ns.<br />

14:40<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-02-03<br />

TOWARDS AUTOMATED DETERMINATION<br />

OF ORBIT MANOEUVRES FOR GNSS SATELLITES<br />

Gottlob Gienger <strong>and</strong> Filipe Lopes Pereira<br />

ESOC's navigati<strong>on</strong> support <strong>of</strong>fice routinely performs precise orbit determinati<strong>on</strong> for GPS,<br />

GLONASS <strong>and</strong> Galileo navigati<strong>on</strong> satellites. To process >300 stati<strong>on</strong> passes per day requires:<br />

Automated search <strong>of</strong> stati<strong>on</strong> passes for orbit, manoeuvres; Precise locati<strong>on</strong> <strong>of</strong> their start <strong>and</strong><br />

end times Automated Delta-V estimati<strong>on</strong>. Manoeuvre models were exploited with<br />

Mathematica. The best performing algorithms were implemented into NAPEOS, the<br />

Navigati<strong>on</strong> Package for Earth Observati<strong>on</strong> Satellites. Preliminary tests c<strong>on</strong>ducted <strong>on</strong> several<br />

GPS orbit manoeuvres show very good agreement with the values published by Center for<br />

Orbit Determinati<strong>on</strong> in Europe.<br />

15:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-02-04<br />

AN IMPROVED DRAG MODEL<br />

FOR CBERS ORBIT DETERMINATION AND PROPAGATION<br />

Diogo Merguizo Sanchez <strong>and</strong> Valdemir Carrara<br />

This paper presents a comparis<strong>on</strong> between the current orbit determinati<strong>on</strong> <strong>and</strong> propagati<strong>on</strong><br />

procedures <strong>of</strong> CBERS (China-Brazil Earth Remote Sensing) satellite, based <strong>on</strong> a fixed drag<br />

coefficient, <strong>and</strong> a model that uses the kinetic theory <strong>of</strong> gases to compute the forces <strong>and</strong><br />

torques <strong>on</strong> a satellite with a given geometry. The main goal is to retrieve eventual<br />

discrepancies between models, <strong>and</strong> to check the orbit determinati<strong>on</strong> residues in both cases.<br />

The results have shown that there were some significant improvements in orbit<br />

determinati<strong>on</strong>. It is expected that the variable drag coefficient can be used in next CBERS<br />

missi<strong>on</strong>s.<br />

15:20<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-02-05<br />

A NEW METHOD OF ORBIT DETERMINATION<br />

BASED ON MODEL ERROR COMPENSATION<br />

Pan Xiaogang, Wang Ji<strong>on</strong>gqi, <strong>and</strong> Zhou Haiyin<br />

The precisi<strong>on</strong> <strong>of</strong> orbit determinati<strong>on</strong> depends <strong>on</strong> precisi<strong>on</strong> <strong>of</strong> measurement data <strong>and</strong> the<br />

precisi<strong>on</strong> <strong>of</strong> dynamic model. In modern times, the degree <strong>of</strong> measurement can be limited in<br />

millimeter degree, so the key method to improve the precisi<strong>on</strong> <strong>of</strong> orbit determinati<strong>on</strong> is to<br />

increase the exactness <strong>of</strong> dynamic model, or to compensate the model error. In this chapter,<br />

some mathematic method are proposed to compensate the uncertainty model error, all<br />

those method is focus <strong>on</strong> the mathematics models, at last, a new orbit determinati<strong>on</strong><br />

method based <strong>on</strong> model error compensati<strong>on</strong> is put forward to deal with directly the dynamic<br />

force.<br />

C<strong>of</strong>fee-break 15:40-17:20<br />

13


16:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-02-07<br />

FINAL PROGRAM<br />

ON THE SEQUENTIAL SOLUTION OF KEPLER EQUATION<br />

Manuel Calvo, Ant<strong>on</strong>io Elipe,<br />

Juan Ignacio M<strong>on</strong>tijano, <strong>and</strong> Luis R<strong>and</strong>ez<br />

The soluti<strong>on</strong> <strong>of</strong> elliptic Kepler equati<strong>on</strong> is a classical problem <strong>of</strong> Celestial Mechanics with a<br />

l<strong>on</strong>g history. Most <strong>of</strong> the methods proposed in the literature are <strong>on</strong>e-time methods in the<br />

sense that for a given eccentricity <strong>and</strong> mean anomaly they attempt to provide an<br />

approximati<strong>on</strong> <strong>of</strong> the unique soluti<strong>on</strong> <strong>of</strong> Kepler equati<strong>on</strong> with maximum accuracy <strong>and</strong><br />

minimum computati<strong>on</strong>al cost. The aim <strong>of</strong> this paper is to propose new sequential soluti<strong>on</strong><br />

methods by using the differential equati<strong>on</strong>s satisfied by the eccentric anomaly together with<br />

suitable <strong>on</strong>e-step numerical methods for differential equati<strong>on</strong>s. Further, numerical<br />

experiments the existing methods will be presented.<br />

16:20<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-02-08<br />

ORBITAL MANEUVERS WITH SINGLE-INPUT CONTROL<br />

Anna Guerman <strong>and</strong> Georgi Smirnov<br />

We study the problem <strong>of</strong> orbital c<strong>on</strong>trol under the c<strong>on</strong>straints <strong>on</strong> the thrust directi<strong>on</strong> for a<br />

n<strong>on</strong>-linear dynamical model. We c<strong>on</strong>sider a satellite equipped with a passive attitude c<strong>on</strong>trol<br />

system providing <strong>on</strong>e-axis stabilizati<strong>on</strong> <strong>and</strong> a propulsi<strong>on</strong> system c<strong>on</strong>sisting <strong>of</strong> <strong>on</strong>e or two<br />

thrusters oriented al<strong>on</strong>g the stabilized axis. Different applicati<strong>on</strong>s, such as formati<strong>on</strong> flying,<br />

stati<strong>on</strong>-keeping, <strong>and</strong> low energy orbital transfer, are examined. We address the problem <strong>of</strong><br />

satellite deorbiting <strong>and</strong> suggest some orbital maneuvers to be used to reduce the orbit<br />

lifetime <strong>of</strong> satellites equipped with a propulsi<strong>on</strong> system with its thrust axis fixed in the body<br />

<strong>of</strong> satellite.<br />

16:40<br />

DYNAMICS AND STABILITY OF SPACECRAFT RELATIVE MOTION<br />

WITH INTER-SATELLITE ELECTROMAGNETIC FORCE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-02-09 Huan Huang, Leping Yang, Yanwei Zhu, <strong>and</strong> Yuanwen Zhang<br />

Electromagnetic force differs from traditi<strong>on</strong>al thrust in its nature as an internal force. This<br />

paper explores a new modeling approach <strong>of</strong> <strong>space</strong>craft relative moti<strong>on</strong> which could embody<br />

the characteristics <strong>of</strong> inter-satellite electromagnetic force based <strong>on</strong> multibody dynamics<br />

theory. Firstly, a dynamics model based <strong>on</strong> two-body system in the presence <strong>of</strong><br />

electromagnetic force is derived following the method outlined by Kane. Sec<strong>on</strong>dly, the<br />

dynamics <strong>and</strong> stability <strong>of</strong> the proposed model are analyzed. The universal dynamics model<br />

for N-<strong>space</strong>crafts formati<strong>on</strong> system with electromagnetic force is established at last, <strong>and</strong> the<br />

stability analysis <strong>of</strong> dynamic equilibria <strong>and</strong> the simulati<strong>on</strong> are presented respectively.<br />

17:00<br />

ORBIT-ATTITUDE PERTURBATION OF A CHARGED SPACECRAFT<br />

IN THE GEOMAGNETIC FIELD<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-02-10<br />

Hani Mohammed, Mosatafa Ahmed, <strong>and</strong> Ashraf Owis<br />

In this work we investigate the orbit-attitude perturbati<strong>on</strong>s <strong>of</strong> a rigid <strong>space</strong>craft due to the<br />

effect <strong>of</strong> different forces <strong>and</strong> torques. The <strong>space</strong>craft is c<strong>on</strong>sidered to be equipped with a<br />

charged sheet <strong>of</strong> a cylindrical shape <strong>and</strong> thus affected up<strong>on</strong> by the Lorentz torques<br />

generated from the geomagnetic field. The effect <strong>of</strong> the gravitati<strong>on</strong>al field up to J_2 <strong>and</strong> the<br />

Lorentz force are taken into account when formulating the orbit-attitude Hamilt<strong>on</strong>ian. The<br />

problem is then solved using the Lie-Deprit-Kamel perturbati<strong>on</strong> technique. In this technique<br />

we make two successive transformati<strong>on</strong>s to eliminate the short <strong>and</strong> l<strong>on</strong>g periodic terms from<br />

the Hamilt<strong>on</strong>ian.<br />

14


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

Sessi<strong>on</strong> 03:<br />

Spacecraft Guidance, Navigati<strong>on</strong>, <strong>and</strong> C<strong>on</strong>trol I (Biombo)<br />

Chair: Hyocho<strong>on</strong>g BANG<br />

14:00-18:00<br />

14:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-03-01<br />

HYBRID PROPULSION TRANSFERS TO THE MOON<br />

Giorgio Mingotti, Francesco Topputo, <strong>and</strong> Franco Bernelli-<br />

Zazzera<br />

This work analyzes special Earth-Mo<strong>on</strong> transfers that make use <strong>of</strong> both chemical <strong>and</strong> solar<br />

electric propulsi<strong>on</strong>. A first high-thrust, low-Isp impulse is used to place the <strong>space</strong>craft into<br />

an exterior-like low-energy transfer to the Mo<strong>on</strong>, possibly performing a lunar gravity assist.<br />

The subsequent use <strong>of</strong> low-thrust, high-Isp propulsi<strong>on</strong> makes it possible to perform a lunar<br />

ballistic capture leading to a final, low-altitude orbit about the Mo<strong>on</strong>. Hybrid propulsi<strong>on</strong><br />

transfers outperform both the chemical transfers (Hohmann, interior, <strong>and</strong> exterior) <strong>and</strong> the<br />

fully solar electric propulsi<strong>on</strong> transfers (SMART-1-like) in terms <strong>of</strong> propellant c<strong>on</strong>sumpti<strong>on</strong>,<br />

although an assessment at system level is still missing.<br />

14:20<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-03-02<br />

ATTITUDE CONTROL SYSTEM<br />

FOR THE NERVA LAUNCHER AND THE ADDASAT<br />

Radu Rugescu<br />

The <strong>space</strong> launcher NERVA is the Romanian research <strong>and</strong> development program for creating<br />

the cheap micro-orbital launcher under the sp<strong>on</strong>sorship <strong>of</strong> the Romanian Ministry <strong>of</strong><br />

Educati<strong>on</strong>, Research <strong>and</strong> Innovati<strong>on</strong> through nati<strong>on</strong>al grants. The point rec<strong>on</strong>versi<strong>on</strong> <strong>of</strong><br />

military obsolete weap<strong>on</strong>s is developed, with the flight test <strong>of</strong> the guidance inertial platform<br />

performed at the test range Cape Midia in June 2010 <strong>and</strong> June 2011. The attitude c<strong>on</strong>trol<br />

system for the NERVA launcher <strong>and</strong> the ADDASAT is presented, with emphasize <strong>on</strong> the first<br />

flight tests <strong>of</strong> the inertial platform <strong>and</strong> the laboratory tests <strong>of</strong> the first MRG-001 microthruster.<br />

14:40<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-03-03<br />

NONLINEAR CONTROL OF LEADER-FOLLOWER FORMATION<br />

FLYING<br />

Giuseppe Di Mauro, Pierluigi Di Lizia,<br />

Roberto Armellin, <strong>and</strong> Michèle Lavagna<br />

This paper addresses the problem <strong>of</strong> relative moti<strong>on</strong> c<strong>on</strong>trol involved in a leader-follower<br />

formati<strong>on</strong> keeping missi<strong>on</strong>. Particularly, center <strong>of</strong> mass dynamics <strong>of</strong> two Earth orbiting<br />

satellite is modeled, including the n<strong>on</strong>linearity due to Earth’s oblateness. Next, differential<br />

algebra is exploited to compute a high order Taylor expansi<strong>on</strong> <strong>of</strong> the State-Dependent Riccati<br />

Equati<strong>on</strong> (SDRE) sub-optimal soluti<strong>on</strong> with respect to the <strong>space</strong>craft state. The polynomial<br />

approximati<strong>on</strong> can be directly evaluated for new SDRE soluti<strong>on</strong>s or exploited to define<br />

accurate initial guesses for the iterative SDRE algorithm. Thus, the computati<strong>on</strong>al cost <strong>of</strong> the<br />

<strong>on</strong>line ARE soluti<strong>on</strong> required by SDRE algorithm is significantly reduced.<br />

15:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-03-04<br />

15<br />

DISTANT ORBITS AROUND THE MERCURY<br />

Xue Ma, Junfeng Li, Hexi Baoyin,<br />

Peng Zhang, Jingyang Li, <strong>and</strong> Yang Chen<br />

For some low cost <strong>space</strong> missi<strong>on</strong>s to Mercury, distant orbits around the planet are studied.<br />

This research is carried out in the framework <strong>of</strong> the elliptic restricted three-body problem<br />

(ER3BP), because <strong>of</strong> the planet's n<strong>on</strong>-negligible eccentricity. Two families <strong>of</strong> prograde <strong>and</strong><br />

retrograde orbits in the CR3BP are chosen for their good performance <strong>of</strong> Sun-synchr<strong>on</strong>ism<br />

<strong>and</strong> stability, <strong>and</strong> we extend the study <strong>of</strong> these orbits to the ER3BP case. The stability <strong>of</strong> all


FINAL PROGRAM<br />

above orbits around Mercury is analyzed in this paper. Our research indicates that orbits<br />

within a large altitude range may keep certain shapes l<strong>on</strong>g enough for <strong>space</strong> missi<strong>on</strong>s.<br />

15:20<br />

SINGLE-AXIS POINTING OF A MAGNETICALLY<br />

ACTUATED SPACECRAFT<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-03-05<br />

Giulio Avanzini, Emanuele Luigi de Angelis,<br />

<strong>and</strong> Fabrizio Giulietti<br />

The use <strong>of</strong> magnetic actuators <strong>on</strong> Low Earth Orbiting <strong>space</strong>crafts represents an attractive<br />

soluti<strong>on</strong> because <strong>of</strong> its simplicity, reliability <strong>and</strong> a power-effective smooth modulati<strong>on</strong> <strong>of</strong><br />

c<strong>on</strong>trol acti<strong>on</strong>s. Attitude regulati<strong>on</strong> yet proves to be a challenging problem, since magnetic<br />

actuators al<strong>on</strong>e do not allow providing three independent c<strong>on</strong>trol torque comp<strong>on</strong>ents at each<br />

time instant.<br />

The goal <strong>of</strong> this paper is to derive a rigorous pro<strong>of</strong> <strong>of</strong> asymptotic stability for a magnetic<br />

c<strong>on</strong>trol law that leads the satellite to a desired spin c<strong>on</strong>diti<strong>on</strong> around a principal axis <strong>of</strong><br />

inertia, pointing the spin axis towards a target directi<strong>on</strong> in the inertial reference frame.<br />

C<strong>of</strong>fee-break 15:40-16:00<br />

16:00<br />

NONLINEAR FILTERING METHODS FOR SPACECRAFT<br />

NAVIGATION BASED ON DIFFERENTIAL ALGEBRA<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-03-06<br />

M<strong>on</strong>ica Valli, Roberto Armellin,<br />

Pierluigi Di Lizia, <strong>and</strong> Michèle Lavagna<br />

The n<strong>on</strong>linear filtering problem plays an important role in various <strong>space</strong>-related applicati<strong>on</strong>s<br />

<strong>and</strong> especially in orbit determinati<strong>on</strong> <strong>and</strong> navigati<strong>on</strong> problems. Differential algebraic (DA)<br />

techniques are here proposed as a valuable tool to implement the higher-order numerical<br />

<strong>and</strong> analytic extended Kalman filter. Working in the DA framework allows to c<strong>on</strong>sistently<br />

reduce the required computati<strong>on</strong>al effort without losing accuracy. The good performance <strong>of</strong><br />

the proposed filter has been tested <strong>on</strong> different orbit determinati<strong>on</strong> problems with n<strong>on</strong>linear<br />

measurements <strong>and</strong> realistic orbit uncertainties. Numerical simulati<strong>on</strong>s show the good<br />

performance <strong>of</strong> the filter in case <strong>of</strong> both complex dynamics <strong>and</strong> highly n<strong>on</strong>linear<br />

measurement problems.<br />

16:20<br />

THREE AXES ROTATIONAL MANEUVER CONTROL AND VIBRATION<br />

SUPPRESSION OF A SMART FLEXIBLE SATELLITE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-03-07<br />

Mohammad Azadi, S. Ahmad Fazelzadeh,<br />

Mohammad Eghtesad, <strong>and</strong> Emad Azadi<br />

In this paper a satellite with a central hub <strong>and</strong> two flexible appendages which the<br />

piezoelectric sensors <strong>and</strong> actuators are attached to them are c<strong>on</strong>sidered. The satellite<br />

moves in a circular orbit around the earth <strong>and</strong> maneuvers around three axes. The governing<br />

equati<strong>on</strong>s <strong>of</strong> moti<strong>on</strong> are derived based <strong>on</strong> Lagrange-Rayleigh-Ritz method <strong>and</strong> there is no<br />

simplificati<strong>on</strong> or linearizati<strong>on</strong> in these equati<strong>on</strong>s. A Lyapunov based c<strong>on</strong>trol is applied to the<br />

system to not <strong>on</strong>ly c<strong>on</strong>trol the three axes maneuver <strong>of</strong> the satellite but also suppress the<br />

vibrati<strong>on</strong>s <strong>of</strong> the flexible appendages.<br />

16:40<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-03-08<br />

ANALYTIC SOLUTIONS OF QUASI-SATELLITE ORBITS IN THE<br />

ELLIPTIC RESTRICTED THREE-BODY PROBLEM WITH<br />

APPLICATION TO PHOBOS<br />

Paulo J.S. Gil <strong>and</strong> Francisco S.P. Cabral<br />

In the c<strong>on</strong>text <strong>of</strong> the restricted three-body problem, it is impossible to follow a keplerian<br />

16


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

orbit around the sec<strong>on</strong>d primary when he is very small because its regi<strong>on</strong> <strong>of</strong> influence <strong>and</strong><br />

Hill's sphere are too close or even under its surface. It is however still possible to orbit the<br />

celestial body using quasi-satellite orbits (QSO), a type <strong>of</strong> distant satellite orbits. In this<br />

paper, some approximate 3D analytic soluti<strong>on</strong>s <strong>of</strong> QSO are obtained for the case <strong>of</strong> the<br />

elliptic 3BP with small eccentricity. Their features are discussed <strong>and</strong> an applicati<strong>on</strong> to<br />

Phobos is presented.<br />

17:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-03-10<br />

ELECTRIC SOLAR WIND SAIL CONTROL AND NAVIGATION<br />

Petri Toivanen, Pekka Janhunen, Jouni Envall, <strong>and</strong> Sini Merikallio<br />

The electric solar wind sail is a propulsi<strong>on</strong> system that uses l<strong>on</strong>g centrifugally spanned <strong>and</strong><br />

electrically charged tethers to extract the solar wind momentum for <strong>space</strong>craft thrust. The<br />

sail spatial orientati<strong>on</strong> is c<strong>on</strong>trolled by modulating each tether voltage separately to produce<br />

net torque for attitude c<strong>on</strong>trol <strong>and</strong> thrust vectoring. Here, we cover the basics <strong>of</strong> the<br />

electric sail c<strong>on</strong>trol based <strong>on</strong> our dynamical models including single tether, rigid body, <strong>and</strong><br />

fully dynamical simulati<strong>on</strong>s <strong>of</strong> the entire sail. Solar wind data are used to address the effects<br />

<strong>of</strong> the density <strong>and</strong> velocity variati<strong>on</strong>s <strong>on</strong> the sail dynamics, c<strong>on</strong>trol, <strong>and</strong> navigati<strong>on</strong>.<br />

FP7 SPACE: OPPORTUNITIES FOR INTERNATIONAL COOPERATIVE<br />

17:30-18:00<br />

PROJECTS IN SPACE<br />

(Ipanema I)<br />

João Romana, NCP Space, Portuguese Foundati<strong>on</strong> for Science <strong>and</strong> Technologies<br />

The European Uni<strong>on</strong> 7th Frammework Programme will be allocating 126 M euro to the next<br />

Space call (July 2012-November 2012). This call will financed Cooperative Projects in GMES<br />

downstream services across all areas, Climate Change, Integrati<strong>on</strong> <strong>of</strong> SATCOM-SATNAV-EO,<br />

Exploitati<strong>on</strong> <strong>of</strong> Space Science data, Development <strong>of</strong> Space technologies <strong>and</strong> Critical<br />

Technologies, Space SME Spin-<strong>of</strong>fs <strong>and</strong> Internati<strong>on</strong>al cooperati<strong>on</strong> with Ukraine <strong>and</strong> China.<br />

C<strong>on</strong>sortia <strong>of</strong> European <strong>and</strong> n<strong>on</strong>-European entities may submit proposals to FP7 SPACE in all<br />

topics. Participants from N<strong>on</strong>-European Space Faring Nati<strong>on</strong>s are particularly welcome,<br />

namely, Canada, USA, Russia, Japan, China, India, South Africa, Brazil <strong>and</strong> Ukraine.<br />

This sessi<strong>on</strong> will allow a preliminary glance at topics which will be covered in the next call<br />

<strong>and</strong> raise awareness <strong>on</strong> the internati<strong>on</strong>al scope <strong>and</strong> call details.<br />

<str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> Dinner 19:00-21:00<br />

Tuesday, March 20, 2012<br />

Sessi<strong>on</strong> 04:<br />

Attitude Sensors <strong>and</strong> Actuators (Ipanema I)<br />

Chairs: Franco BERNELLI <strong>and</strong> Michael OVCHINNIKOV<br />

8:30-12:30<br />

8:30<br />

TILTED WHEEL FOR THREE-AXIS ATTITUDE CONTROL<br />

OF A RIGID SATELLITE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-04-01<br />

Lawrence Oyedeji Inumoh, Nadjim Horri, <strong>and</strong> Alex Pechev<br />

This paper proposes a new type <strong>of</strong> c<strong>on</strong>trol actuator that generates torques in all three<br />

principal axes <strong>of</strong> a rigid satellite using <strong>on</strong>ly a reacti<strong>on</strong> wheel <strong>and</strong> a simple tilt mechanism.<br />

17


18<br />

FINAL PROGRAM<br />

The mechanism will rotate the spin axis <strong>of</strong> the wheel about two additi<strong>on</strong>al axes thereby<br />

generating high c<strong>on</strong>trol torque about the axes orthog<strong>on</strong>al to the wheel spin axis. Torque will<br />

also be generated about the wheel spin axis through the increase or decrease <strong>of</strong> the wheel<br />

speed.Fundamental mathematical dynamic model <strong>and</strong> numerical simulati<strong>on</strong>s are used to<br />

dem<strong>on</strong>strate the agile three-axis attitude c<strong>on</strong>trol capability <strong>of</strong> this proposed actuator.<br />

8:50<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-04-02<br />

ANALYSIS OF AMBIGUITY RESOLUTION METHODS FOR ATTITUDE<br />

DETERMINATION USING GPS CARRIER PHASE MEASUREMENTS<br />

Le<strong>and</strong>ro Bar<strong>on</strong>i <strong>and</strong> Helio Kuga<br />

If three or more GPS antennas are body-mounted properly <strong>and</strong> GPS measurements are<br />

collected simultaneously, then body orientati<strong>on</strong> can be calculated. Carrier phase double<br />

differences are used as GPS measurements <strong>and</strong> the ambiguous integer number <strong>of</strong> cycles in<br />

the measurements must be determined. For algorithm speedup c<strong>on</strong>straints steaming from<br />

the fixed antennas c<strong>on</strong>figurati<strong>on</strong> geometry are imposed. Two algorithms were analyzed<br />

accomplishing real-time attitude determinati<strong>on</strong>. The test baselines were separated 1 meter<br />

apart perpendicularly. The results showed that the accuracy <strong>of</strong> both methods is in the order<br />

<strong>of</strong> 0.1° to 0.2° or better, but CPU times are quite different.<br />

9:10<br />

ATTITUDE DYNAMICS OF A SMALL-SIZED SATELLITE<br />

EQUIPPED WITH HYSTERESIS DAMPER<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-04-03<br />

Michael Ovchinnikov<br />

Appearance <strong>of</strong> small-sized satellites, involvement <strong>of</strong> spin-<strong>of</strong>f companies <strong>and</strong> universities<br />

renovated interest to passive attitude c<strong>on</strong>trol systems (PACS) use. Disturbed attitude moti<strong>on</strong><br />

has to be damped first. Hysteresis damper leads due to its simple design, low cost,<br />

reliability, magnetic characteristics stability in time. Problems to be solved while a<br />

hysteresis damper for PACS is used are c<strong>on</strong>sidered. Hysteresis models admitting compromise<br />

between reality <strong>and</strong> descriptiveness <strong>of</strong> results obtained are given. Examples how to apply the<br />

technique for gravity-gradient <strong>and</strong> magnetic PACS development <strong>and</strong> design are presented.<br />

Samples <strong>of</strong> nanosatellites with hysteresis damper where the proposed approach was used are<br />

shown.<br />

9:30<br />

MICRO-SUN-SENSOR PERFORMANCE VALIDATION<br />

IN GROUND-REPRODUCED ORBITAL CONDITIONS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-04-05<br />

Giancarlo Rufino <strong>and</strong> Michele Grassi<br />

This paper deals with the digital micro sun sensor under development at the university <strong>of</strong><br />

Naples: a novel, two-axis digital sun sensor exploiting a CMOS photodetector. This paper is<br />

focused <strong>on</strong> the tests to validate the adopted design <strong>and</strong> algorithms. They are carried out<br />

exploiting a fully-functi<strong>on</strong>al hardware model <strong>of</strong> the sensor in a laboratory facility for<br />

simulati<strong>on</strong> <strong>of</strong> sun illuminati<strong>on</strong>, accounting for variable sun-line as resulting from orbit <strong>and</strong><br />

attitude dynamics. This paper will present novel, improved algorithms using adaptive image<br />

processing depending <strong>on</strong> illuminati<strong>on</strong> c<strong>on</strong>diti<strong>on</strong>s during operati<strong>on</strong>, <strong>and</strong> tests to assess sensor<br />

performance by means <strong>of</strong> hardware-in-the-loop tests.<br />

9:50<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-04-06<br />

A DYNAMIC FRICTION MODEL FOR REACTION WHEELS<br />

Valdemir Carrara <strong>and</strong> Addolfo Graciano da Silva<br />

This paper addresses the problem <strong>of</strong> the bearing fricti<strong>on</strong> in a reacti<strong>on</strong> wheel <strong>and</strong> applies a<br />

dynamic fricti<strong>on</strong> model in the current c<strong>on</strong>trol loop. The dynamic fricti<strong>on</strong> model assumes that<br />

there are elastic bristles in the c<strong>on</strong>tact surfaces that bends when slipping forces are applied.<br />

The bristle behavior mimics the Stribeck effect without disc<strong>on</strong>tinuities. Some experiments<br />

were carried out in order to collect the necessary data to estimate the model parameters.


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

The model was then inserted in a Model Compensati<strong>on</strong> C<strong>on</strong>trol in current c<strong>on</strong>trol mode.<br />

Results shown that there was significant improvement in the c<strong>on</strong>trol performance, mainly<br />

during zero-speed crossing.<br />

C<strong>of</strong>fee Break 10:10-10:30<br />

10:30<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-04-07<br />

ON GROUND CALIBRATION OF TETRAHEDRON GYRO PACKAGE<br />

Helio Koiti Kuga, Rafael Henrique Siqueira, <strong>and</strong> Valdemir Carrara<br />

This work presents the <strong>on</strong> ground calibrati<strong>on</strong> <strong>of</strong> a gyro package composed <strong>of</strong> four fiber optic<br />

gyros in a tetrahedr<strong>on</strong> c<strong>on</strong>figurati<strong>on</strong>. In this work the <strong>on</strong> ground calibrati<strong>on</strong> is performed with<br />

a 3-axis turn table covering the work range <strong>of</strong> the chosen gyros. Analysis covering both the<br />

uncalibrated <strong>and</strong> calibrated accumulated attitude determinati<strong>on</strong> error are shown. An Allan<br />

variance analysis is performed in order to detect the main sources <strong>of</strong> noise <strong>and</strong> to improve<br />

the mathematical model. The calibrati<strong>on</strong> procedures developed in this work could be used in<br />

tests <strong>of</strong> an in-house FOG-IMU that will fly in next Brazilian missi<strong>on</strong>s.<br />

10:50<br />

LOW COST PROXIMITY NAVIGATION SYSTEM<br />

BASED ON LASER TELEMETER<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-04-08<br />

Fabrizio Stesina, Sergio Chiesa, <strong>and</strong> Nicole Viola<br />

The paper deals with the crucial issue <strong>of</strong> proximity navigati<strong>on</strong> for both <strong>space</strong> explorati<strong>on</strong> <strong>and</strong><br />

terrestrial vehicle’s applicati<strong>on</strong>s. It describes both the applied methodology <strong>and</strong> the results<br />

obtained for a low cost system based <strong>on</strong> a COTS (Comp<strong>on</strong>ent Off The Shelf) laser telemeter<br />

mounted <strong>on</strong> a rotating support, in order to generate bi-dimensi<strong>on</strong>al maps for unknown indoor<br />

<strong>and</strong> outdoor envir<strong>on</strong>ments. This system has been designed <strong>and</strong> tested <strong>and</strong> its capability <strong>of</strong><br />

reproducing bi-dimensi<strong>on</strong>al maps starting from unknown initial c<strong>on</strong>diti<strong>on</strong>s has been<br />

successfully verified.<br />

11:10<br />

A MEMS-BASED MULTI-SENSOR SYSTEM<br />

FOR SATELLITE HIGH-ACCURACY ATTITUDE DETERMINATION<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-04-09<br />

Igor Merkuryev<br />

This paper deals with satellite attitude determinati<strong>on</strong> based <strong>on</strong> optimal fusi<strong>on</strong> <strong>of</strong><br />

microelectromechanical vibratory gyroscope measurements <strong>and</strong> star trackers by stochastic<br />

filtering. One <strong>of</strong> the ways to improve performances <strong>of</strong> micromechanical vibratory gyroscopes<br />

is to analyze their dynamics <strong>and</strong> errors in order to find efficient methods <strong>of</strong> digital signal<br />

processing. New n<strong>on</strong>linear dynamic properties <strong>of</strong> electrostatically actuated microstructures<br />

observed under harm<strong>on</strong>ic excitati<strong>on</strong>s are studied. Results <strong>of</strong> bench tests <strong>of</strong> the integrated<br />

navigating system <strong>of</strong> the small satellites are presented.<br />

11:30<br />

MODEL-BASED PID CONTROLLER FOR CUBESAT REACTION<br />

WHEELS USING COTS BRUSHLESS DC MOTORS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-04-10 Teun Hoevenaars, Steven Engelen, <strong>and</strong> Jasper Bouwmeester<br />

This paper presents the design, verificati<strong>on</strong> <strong>and</strong> validati<strong>on</strong> <strong>of</strong> the PID c<strong>on</strong>troller for the<br />

reacti<strong>on</strong> wheel system <strong>of</strong> the Delfi-n3Xt CubeSat. The Delfi-n3Xt reacti<strong>on</strong> wheel system is<br />

based <strong>on</strong> COTS Brushless DC motors <strong>and</strong> c<strong>on</strong>trolled using Pulse Width Modulati<strong>on</strong>. Because<br />

c<strong>on</strong>trol is fully implemented in the digital domain, discretizati<strong>on</strong> effects have a significant<br />

impact <strong>on</strong> the performance <strong>of</strong> the implemented c<strong>on</strong>tinuous model c<strong>on</strong>troller, particularly at<br />

high rotati<strong>on</strong> rates. Applying some simple but effective modificati<strong>on</strong>, the model-based PID<br />

c<strong>on</strong>troller is adapted such that it operates over the full range <strong>of</strong> operating speeds.<br />

19


FINAL PROGRAM<br />

Sessi<strong>on</strong> 05:<br />

Missi<strong>on</strong> Design <strong>and</strong> Optimizati<strong>on</strong> I (Ipanema II)<br />

Chairs: Kathleen HOWELL <strong>and</strong> Jeng-Shing CHERN Rock<br />

8:30-12:30<br />

8:30<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-05-01<br />

REFERENCE ATTITUDE DERIVING ALGORITHM FOR MULTI STRIP<br />

IMAGING IN HIGHLY AGILE SPACECRAFTS<br />

Ritu Karidhal, Subbarao K., Kesavaraju V., <strong>and</strong> P<strong>and</strong>iyan R.<br />

The computati<strong>on</strong> <strong>of</strong> time varying image plane moti<strong>on</strong> <strong>and</strong> deriving the reference attitude for<br />

driving the <strong>space</strong>craft platform is the premise <strong>of</strong> high resoluti<strong>on</strong> optical imaging . Here, two<br />

types <strong>of</strong> imaging are c<strong>on</strong>sidered. Type-I imaging is applicable to the camera system having<br />

linear CCDs where the platform attitude should be c<strong>on</strong>trolled such that the projecti<strong>on</strong> <strong>of</strong> the<br />

linear CCD <strong>on</strong> ground is maintained perpendicular to imaging directi<strong>on</strong>. Type-II imaging is<br />

applicable to camera system with an area array CCD where the earth rotati<strong>on</strong> compensati<strong>on</strong><br />

becomes a must for all stages to capture signal from same ground regi<strong>on</strong>.<br />

8:50<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-05-03<br />

A RESEARCH ON TETHER-DRAGGING DEORBITING MISSION<br />

OF DEFUNCT GEOSTATIONARY SATELLITES<br />

Hai-tao Liu, Le-ping Yang, Qing-bin Zhang, <strong>and</strong> Yan-wei Zhu<br />

The RObotic Geostati<strong>on</strong>ary orbit Restorer (ROGER) plans to use <strong>space</strong> claw or net mechanism<br />

to capture <strong>and</strong> remove the defunct satellites in GEO. Tether-dragging deorbiting is a crucial<br />

part <strong>on</strong> the removal <strong>of</strong> defunct satellites after capture. This paper c<strong>on</strong>ducts an in-depth<br />

research <strong>on</strong> tether-dragging deorbiting issues <strong>of</strong> defunct geostati<strong>on</strong>ary satellites. Firstly, a<br />

four-phase tether-dragging deorbiting scheme, which takes risks <strong>of</strong> relative moti<strong>on</strong> into<br />

c<strong>on</strong>siderati<strong>on</strong>, is proposed. Sec<strong>on</strong>dly, the dynamics model <strong>of</strong> the tether-dragging deorbiting<br />

system is established based <strong>on</strong> Lagrange equati<strong>on</strong>. Finally, the four phases <strong>of</strong> tether-dragging<br />

deorbiting scheme are simulated <strong>and</strong> simulati<strong>on</strong> results prove its validity.<br />

9:10<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-05-05<br />

VENUS TRANSFERS DESIGN COMBINING INTERPLANETARY<br />

SUPERHIGHWAYS AND LOW-THRUST ARCS<br />

Chiara Finocchietti, Pierpaolo Pergola, <strong>and</strong> Mariano Andrenucci<br />

Various <strong>space</strong> transfers strategies exploiting Interplanetary Superhighways (IPS) are proposed<br />

<strong>and</strong> analysed to accomplish a reference Venus missi<strong>on</strong> starting from geocentric orbits<br />

compliant with an Internati<strong>on</strong>al Space Stati<strong>on</strong> departing scenario or from periodic orbits<br />

around librati<strong>on</strong> points <strong>of</strong> the Sun-Earth system. Generally, such transfers are impractical by<br />

themselves due to l<strong>on</strong>g transfer times they imply. As a soluti<strong>on</strong> to this problem, we propose<br />

the coupling <strong>of</strong> IPS trajectories <strong>and</strong> propulsive arcs or manoeuvres. This approach allows<br />

both reducing the transfer times <strong>and</strong> realizing intersecti<strong>on</strong> between dynamical structures not<br />

matching naturally in the phase <strong>space</strong>, at least for the inner planets.<br />

9:30<br />

DESIGN OF LOW-THRUST TRANSFERS TO LIBRATION POINT<br />

PERIODIC ORBITS EXPLOITING MANIFOLD DYNAMICS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-05-06 Pierpaolo Pergola, Chiara Finocchietti, <strong>and</strong> Mariano Andrenucci<br />

We propose <strong>and</strong> analyse some missi<strong>on</strong> scenarios based <strong>on</strong> Electric Propulsi<strong>on</strong> systems to<br />

accomplish missi<strong>on</strong>s from a low Earth parking orbit toward periodic orbits close to the<br />

collinear points <strong>of</strong> both the Sun-Earth <strong>and</strong> Earth-Mo<strong>on</strong> systems. A transfer strategy that<br />

combines low-thrust arcs <strong>and</strong> manifold dynamics is c<strong>on</strong>sidered to minimize the fuel<br />

c<strong>on</strong>sumpti<strong>on</strong>. During the propulsive phase, the thrust laws are determined by means <strong>of</strong><br />

optimizati<strong>on</strong> approaches. Further, for the design <strong>of</strong> the ballistic phase, the most relevant<br />

n<strong>on</strong>-gravitati<strong>on</strong>al influences are accounted. Moreover, we present a low-thrust alternative<br />

soluti<strong>on</strong> to accomplish the same targets <strong>of</strong> the Euclid missi<strong>on</strong>.<br />

20


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

9:50<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-05-07<br />

KINEMATIC ATTITUDE MANEUVERS WITH PATH CONSTRAINTS<br />

FOR ASTROSAT – AN INDIAN ASTRONOMY SATELLITE<br />

P<strong>and</strong>iyan Ramalingam, Ramesh A. S., <strong>and</strong> Sharanappa Sindole<br />

Astr<strong>on</strong>omy satellites carry sensitive instruments <strong>on</strong>board for celestial observati<strong>on</strong>s. These<br />

instruments should not pass through or stare bright objects such as Sun while undergoing<br />

maneuvers. Indian ASTROnomy SATellite (ASTROSAT) carries 5 instruments. The instruments<br />

should avoid Sun while the <strong>space</strong>craft maneuver from <strong>on</strong>e celestial object to another. In this<br />

paper, a simple maneuver strategy developed based <strong>on</strong> kinematics to avoid bright Sun while<br />

maneuvering the <strong>space</strong>craft has been described. A pre-c<strong>on</strong>ceived definiti<strong>on</strong> <strong>of</strong> the <strong>space</strong>craft<br />

axes avoids Sun during observati<strong>on</strong>. The maneuver pr<strong>of</strong>ile is tested for various combinati<strong>on</strong>s<br />

<strong>of</strong> the targets in order to ascertain that it works without fail.<br />

C<strong>of</strong>fee Break 10:10-10:30<br />

10:30<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-05-08<br />

HALO ORBITS CHARACTERIZATION IN THE EARTH-MOON<br />

SYSTEMFOR SCIENTIFIC APPLICATIONS<br />

Pierpaolo Pergola <strong>and</strong> Elisa Maria Alessi<br />

Recently, a new effort has been reserved to explore the lunar envir<strong>on</strong>ment with missi<strong>on</strong>s<br />

aimed at orbiting the Mo<strong>on</strong> <strong>and</strong> collecting great amounts <strong>of</strong> data in view <strong>of</strong> a future human<br />

installati<strong>on</strong>. In this c<strong>on</strong>text, several authors proposed the exploitati<strong>on</strong> <strong>of</strong> periodic orbits<br />

around the equilibrium point L 1 in the Earth-Mo<strong>on</strong> system with different objectives. The<br />

purpose <strong>of</strong> our work is to provide effective criteria that can be applied to choose a nominal<br />

orbit operable to these ends. We c<strong>on</strong>sider as key parameters lunar surface coverage, solar<br />

eclipses <strong>and</strong> orbit maintenance costs.<br />

10:50<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-05-09<br />

DESIGN OF TRANSFER TRAJECTORIES BETWEEN<br />

THREE-DIMENSIONAL RESONANT ORBITS IN<br />

THE RESTRICTED THREE-BODY PROBLEM<br />

Mar Vaquero <strong>and</strong> Kathleen Howell<br />

The applicati<strong>on</strong> <strong>of</strong> dynamical systems techniques to missi<strong>on</strong> design has dem<strong>on</strong>strated that<br />

employing invariant manifolds <strong>and</strong> res<strong>on</strong>ant flybys enables previously unknown trajectory<br />

opti<strong>on</strong>s <strong>and</strong> potentially reduces the Delta-V requirements. An analysis <strong>of</strong> three-dimensi<strong>on</strong>al<br />

res<strong>on</strong>ant orbits, as well as the computati<strong>on</strong> <strong>and</strong> visualizati<strong>on</strong> <strong>of</strong> the associated invariant<br />

manifold structures is explored in this investigati<strong>on</strong>. Three-dimensi<strong>on</strong>al maps are used to<br />

explore the relati<strong>on</strong>ship between the manifold trajectories associated with multiple res<strong>on</strong>ant<br />

orbits. As a result, three-dimensi<strong>on</strong>al transfers between stable <strong>and</strong> unstable res<strong>on</strong>ant orbits<br />

are identified in the Earth-Mo<strong>on</strong> system.<br />

11:10<br />

EARTH-MOON LIBRATION STATIONKEEPING:<br />

THEORY, MODELING, AND OPERATIONS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-05-10 David Folta, Thomas Pavlak, Kathleen Howell, <strong>and</strong> Mark Woodard<br />

Collinear Earth-Mo<strong>on</strong> librati<strong>on</strong> points have emerged as locati<strong>on</strong>s with immediate applicati<strong>on</strong>.<br />

These librati<strong>on</strong> point orbits are inherently unstable <strong>and</strong> must be c<strong>on</strong>trolled at a rapid<br />

frequency which c<strong>on</strong>strains operati<strong>on</strong>s <strong>and</strong> maneuver locati<strong>on</strong>s. Stati<strong>on</strong>keeping is challenging<br />

due to short time scales <strong>of</strong> divergence, effects <strong>of</strong> large orbital eccentricity <strong>of</strong> the sec<strong>on</strong>dary<br />

<strong>and</strong> third body perturbati<strong>on</strong>s. We c<strong>on</strong>trast <strong>and</strong> compare promising strategies including<br />

Optimal C<strong>on</strong>tinuati<strong>on</strong> <strong>and</strong> Mode Analysis that achieved c<strong>on</strong>sistent <strong>and</strong> reas<strong>on</strong>able operati<strong>on</strong>al<br />

stati<strong>on</strong>keeping costs for the ARTEMIS missi<strong>on</strong>. Background <strong>on</strong> theory <strong>and</strong> models used to<br />

achieve these dem<strong>on</strong>strated results are discussed al<strong>on</strong>g with their mathematical<br />

development.<br />

21


FINAL PROGRAM<br />

Sessi<strong>on</strong> 06:<br />

Satellite C<strong>on</strong>stellati<strong>on</strong>s <strong>and</strong> Formati<strong>on</strong> Flying I (Biombo)<br />

Chair: Gerard GOMEZ<br />

8:30-12:30<br />

8:30<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-06-01<br />

EFFECTS OF ECCENTRICITY OF THE PARENT BODY<br />

ON MULTI-TETHERED SATELLITE FORMATIONS<br />

Giulio Avanzini <strong>and</strong> Manrico Fedi<br />

This paper discusses the relevance <strong>of</strong> eccentric reference orbits <strong>on</strong> the dynamics <strong>of</strong> a<br />

tethered formati<strong>on</strong>, when a massive cable model is included in the analysis <strong>of</strong> a multi–<br />

tethered satellite formati<strong>on</strong>. The formati<strong>on</strong>s examined in this study are Hub-And-Spoke (HAS)<br />

<strong>and</strong> Closed-Hub-And-Spoke (CHAS) c<strong>on</strong>figurati<strong>on</strong>s for In-Plane <strong>and</strong> Earth-Facing spin planes. A<br />

detailed study <strong>on</strong> the effect <strong>of</strong> eccentricity over the formati<strong>on</strong> behaviour is performed. A<br />

stability analysis will evaluate the effect <strong>of</strong> eccentricity <strong>on</strong> tether el<strong>on</strong>gati<strong>on</strong>, relative<br />

positi<strong>on</strong>, orientati<strong>on</strong> <strong>and</strong> shape <strong>of</strong> the formati<strong>on</strong>. The presence <strong>of</strong> periodic soluti<strong>on</strong>s will be<br />

also studied.<br />

8:50<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-06-02<br />

HIGH-ORDER PERTURBATION SOLUTION<br />

TO THE RELATIVE MOTION PROBLEM<br />

Pini Gurfil <strong>and</strong> Martin Lara<br />

A soluti<strong>on</strong> to the relative moti<strong>on</strong> problem for satellites is c<strong>on</strong>structed based <strong>on</strong> perturbati<strong>on</strong><br />

theory. This soluti<strong>on</strong> provides the mean orbital elements, which are comm<strong>on</strong>ly used for<br />

detecting bounded relative orbits, as well as the osculating <strong>on</strong>es that allow for direct<br />

propagati<strong>on</strong> in realistic models. The new soluti<strong>on</strong> is carried out up to the sec<strong>on</strong>d order <strong>of</strong> J 2,<br />

thus accounting for n<strong>on</strong>-linearities <strong>of</strong> the model to a high extent, <strong>and</strong> hence being useful for<br />

checking l<strong>on</strong>g-term boundedness without limiting to the case <strong>of</strong> tightly-c<strong>on</strong>trolled<br />

formati<strong>on</strong>s.<br />

9:10<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-06-03<br />

APPLICATIONS OF ANALYTICAL SOLUTION<br />

OF RELATIVE MOTION OF THE FORMATION FLYING<br />

Ashraf Owis, Hany Dwidar, <strong>and</strong> Hani Mohammed<br />

In the current work an analytic soluti<strong>on</strong> <strong>of</strong> the relative moti<strong>on</strong> <strong>of</strong> formati<strong>on</strong> flying in an<br />

elliptic orbit will be found. The dynamics <strong>of</strong> the problem will be linearized around an elliptic<br />

orbit reference. The problem is solved using feedback optimal c<strong>on</strong>trol approach via<br />

generating functi<strong>on</strong> technique. Soluti<strong>on</strong>s for both s<strong>of</strong>t <strong>and</strong> hard c<strong>on</strong>straints will be<br />

formulated. Numerical simulati<strong>on</strong>s will be d<strong>on</strong>e.<br />

9:30<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-06-04<br />

A COMPARATIVE STUDY OF DYNAMICS MODELS AND CONTROL<br />

STRATEGIES FOR SATELLITE FORMATION FLYING<br />

M. Navab <strong>and</strong> M. Barati<br />

A simulati<strong>on</strong> method with a modeling error index is introduced to compare eight widely used<br />

dynamics models <strong>of</strong> satellite formati<strong>on</strong> flying with a precise propagator. This evaluati<strong>on</strong> is<br />

carried out by analyzing the effects <strong>of</strong> main error sources such as eccentricity <strong>of</strong> the<br />

reference orbit, formati<strong>on</strong> size, inclinati<strong>on</strong> <strong>and</strong> gravitati<strong>on</strong>al perturbati<strong>on</strong>s in low Earth<br />

orbits. In the sec<strong>on</strong>d part, three c<strong>on</strong>trol strategies are undertaken to be applied <strong>on</strong> the<br />

dynamics models. Applicability <strong>and</strong> effectiveness <strong>of</strong> these c<strong>on</strong>trol methods to bring <strong>and</strong> keep<br />

the deputy <strong>and</strong> chief satellites to a prescribed proximity are investigated.<br />

22


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

9:50<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-06-05<br />

MODELING AND PROPERTIES OF SATELLITE FORMATIONS<br />

WITH NONCONTACTING INTERNAL FORCES<br />

Weiwei Tsai, Leping Yang, Yanwei Zhu, <strong>and</strong> Yuanwen Zhang<br />

Satellite formati<strong>on</strong>s with n<strong>on</strong>c<strong>on</strong>tacting internal forces have attractive prospect in future<br />

<strong>space</strong> missi<strong>on</strong>s due to their distinct advantages. The key to the successful applicati<strong>on</strong> <strong>of</strong><br />

these novel formati<strong>on</strong>s lies in their dynamics models. This paper derives a new relative<br />

dynamics model that incarnates the unique features <strong>of</strong> such formati<strong>on</strong>s through analytical<br />

mechanics, breaking through the bottleneck <strong>of</strong> c<strong>on</strong>venti<strong>on</strong>al methods. A pr<strong>of</strong>ound<br />

investigati<strong>on</strong> <strong>on</strong> the dynamics model is carried out <strong>on</strong> the basis <strong>of</strong> physical significance<br />

interpretati<strong>on</strong>, <strong>space</strong> envir<strong>on</strong>ment perturbati<strong>on</strong> effect analysis <strong>and</strong> comparis<strong>on</strong> with other<br />

models. Research in this paper lays a theoretical foundati<strong>on</strong> for future design <strong>of</strong> such<br />

systems.<br />

C<strong>of</strong>fee Break 10:10-10:30<br />

10:30<br />

AUTONOMOUS DECENTRALIZED COORDINATION CONTROL<br />

FOR FRACTIONATED SPACECRAFT FORMATION<br />

RECONFIGURATION BASED ON CYCLIC PURSUIT STRATEGY<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-06-06<br />

Min Hu <strong>and</strong> Guoqiang Zeng<br />

In this paper, the relative translati<strong>on</strong>al dynamics <strong>of</strong> fracti<strong>on</strong>ated <strong>space</strong>craft <strong>and</strong> the general<br />

formati<strong>on</strong> c<strong>on</strong>figurati<strong>on</strong> descripti<strong>on</strong> method are proposed, <strong>and</strong> the algebraic graph theory is<br />

introduced. Sec<strong>on</strong>dly, three-dimensi<strong>on</strong>al finite-time cyclic pursuit algorithms are put forward<br />

for both single-integrator kinematics <strong>and</strong> double-integrator dynamics, which guarantee the<br />

c<strong>on</strong>vergence <strong>of</strong> tracking errors in finite time rather than in the asymptotic sense. Then,<br />

collisi<strong>on</strong> free navigati<strong>on</strong> is achieved using the Artificial Potential Filed method, which is very<br />

popular for terrestrial robotics. Finally, fracti<strong>on</strong>ated <strong>space</strong>craft re-gather maneuvering <strong>and</strong><br />

system upgrade to accommodating new modules are simulated. The simulati<strong>on</strong> results show<br />

the effectiveness <strong>of</strong> the proposed c<strong>on</strong>troller.<br />

10:50<br />

FORMATION FLYING DYNAMICS ANALYSIS<br />

BY MEANS OF A VIRTUAL MULTIBODY APPROACH<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-06-08<br />

Le<strong>on</strong>ard Felicetti <strong>and</strong> Giovanni Palmerini<br />

The paper proposes to c<strong>on</strong>sider a <strong>space</strong>craft formati<strong>on</strong> as an orbiting multibody which joints<br />

- located at the <strong>space</strong>craft positi<strong>on</strong>s - are c<strong>on</strong>nected by virtual links. In such a way, it is<br />

showed that the c<strong>on</strong>trol acti<strong>on</strong>s needed to formati<strong>on</strong>keeping can be easily computed by<br />

means <strong>of</strong> the efficient s<strong>of</strong>tware already developed <strong>and</strong> validated for applicati<strong>on</strong>s like <strong>space</strong><br />

manipulators. In fact, the reacti<strong>on</strong>s at the joints <strong>of</strong> the virtual multibody equal the c<strong>on</strong>trol<br />

acti<strong>on</strong> requested to acquire or maintain the corresp<strong>on</strong>ding c<strong>on</strong>figurati<strong>on</strong>. A pro<strong>of</strong> to validate<br />

the approach, as well as the successful results from simulati<strong>on</strong>s, are presented <strong>and</strong><br />

discussed.<br />

11:10<br />

FUNDAMENTAL-SOLUTION GUIDANCE<br />

FOR SATELLITE RELATIVE MOTION IN ELLIPTIC ORBITS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-06-09<br />

Ryan Sherrill, Andrew Sinclair, <strong>and</strong> Thomas Lovell<br />

The moti<strong>on</strong> <strong>of</strong> a deputy satellite relative to a chief satellite in elliptic orbit can be modeled<br />

with linearized time-varying equati<strong>on</strong>s. The soluti<strong>on</strong>s to these equati<strong>on</strong>s are linear<br />

combinati<strong>on</strong>s six fundamental soluti<strong>on</strong>s, with the combinatorial c<strong>on</strong>stants representing<br />

integrals <strong>of</strong> the moti<strong>on</strong>. These c<strong>on</strong>stants provide a geometric descripti<strong>on</strong> <strong>of</strong> the relative<br />

23


FINAL PROGRAM<br />

moti<strong>on</strong>, showing how it is composed from the six fundamental modes. This paper analyzes<br />

maneuver planning for relative moti<strong>on</strong> using the fundamental-soluti<strong>on</strong> descripti<strong>on</strong>. Impulsive<br />

burns by the deputy satellite in the radial, transverse, <strong>and</strong> cross-track directi<strong>on</strong>s are related<br />

to the changes in amplitude <strong>of</strong> each fundamental soluti<strong>on</strong>.<br />

11:30<br />

SWITCHED STRATEGY AND SLIDING MODE<br />

ALGORITHM-BASED RELATIVE POSITION CONTROL METHOD<br />

OF ELECTROMAGNETIC FORMATION<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-06-10<br />

Flying Jinxiu Zhang <strong>and</strong> Zhend<strong>on</strong>g Hou<br />

C<strong>on</strong>sidering the str<strong>on</strong>g n<strong>on</strong>linearity <strong>and</strong> coupling <strong>of</strong> electromagnetic formati<strong>on</strong>, this paper<br />

established the relative orbit dynamics with currents generating EM force as c<strong>on</strong>trol<br />

variables. An switching strategy <strong>and</strong> variable parameters’ sliding mode c<strong>on</strong>trol algorithm was<br />

proposed to deal with the deviati<strong>on</strong> <strong>of</strong> orbital eccentricity, EM force model’s uncertainty <strong>and</strong><br />

c<strong>on</strong>trol input matrix’s peak problem. Applying knowledge <strong>of</strong> system uncertainty, we obtained<br />

reas<strong>on</strong>able c<strong>on</strong>trol parameters <strong>of</strong> the sliding mode algorithm, the input matrix’s peak<br />

problem due to free electromagnetic dipoles was solved by switching c<strong>on</strong>trol strategy,<br />

overcoming the sliding mode c<strong>on</strong>trol method’s drawback <strong>of</strong> ast<strong>on</strong>ishingly large errors in some<br />

local areas.<br />

11:50<br />

ULTRA-LOW EARTH ORBIT FORMATION FLYING PASSIVE<br />

CONTROL USING DIFFERENTIAL AERODYNAMIC FORCES<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-06-11<br />

Haiping Chen, Yulin Zhang, <strong>and</strong> Zhaokui Wang<br />

In the ultra-low Earth orbit, which height is about 120km-180km, the <strong>space</strong>crafts are highly<br />

affected by the aerodynamic forces. This paper analyses the aerodynamic forces <strong>of</strong> a panel<br />

<strong>space</strong>craft, finding that, the order <strong>of</strong> magnitude <strong>of</strong> the lift force is large enough to c<strong>on</strong>trol<br />

the <strong>space</strong>craft formati<strong>on</strong> flying. Based <strong>on</strong> the differential aerodynamic forces, a special<br />

passive formati<strong>on</strong> is designed. The n<strong>on</strong>-sphere perturbati<strong>on</strong> <strong>of</strong> Earth influences the formati<strong>on</strong><br />

<strong>of</strong> the ultra-low Earth orbit <strong>space</strong>craft. Therefore, a method for including the J2 effects in<br />

the passive formati<strong>on</strong> design is introduced. The simulati<strong>on</strong> shows that the method is<br />

plausible <strong>and</strong> effective.<br />

Lunch 12:30-14:00<br />

Sessi<strong>on</strong> 07:<br />

Attitude <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol II (Ipanema I)<br />

Chairs: Ant<strong>on</strong>io ELIPE <strong>and</strong> Anna GUERMAN<br />

14:00-18:00<br />

14:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-07-01<br />

PARAMETER OPTIMIZATION FOR STABILIZERS<br />

Ana Maria Seabra, Georgi Smirnov, <strong>and</strong> Anna Guerman<br />

The choice <strong>of</strong> parameters for stabilizers can be based <strong>on</strong> various criteria; for example, for<br />

linear c<strong>on</strong>trollable systems, the pole assignment theorem guarantees the existence <strong>of</strong> a<br />

stabilizer with very high damping speed. However, such a stabilizer is practically useless<br />

because <strong>of</strong> so-called pick-effect. The same phenomen<strong>on</strong> is observed if <strong>on</strong>e chooses a robust<br />

stabilizer c<strong>on</strong>structed by H∞ or µ techniques. In this work we formulate an optimizati<strong>on</strong><br />

problem that allows us to determine optimal parameters <strong>of</strong> a stabilizer. We develop an<br />

effective numerical tool oriented to optimizati<strong>on</strong> <strong>of</strong> stabilizer parameters according to<br />

different criteria that appear in practice.<br />

24


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

14:20<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-07-02<br />

SMALL GAIN STABILITY THEORY<br />

FOR MATCHED BASIS FUNCTION REPETITIVE CONTROL<br />

Yunde Shi, Richard L<strong>on</strong>gman, <strong>and</strong> Masaki Nagashima<br />

Many <strong>space</strong>craft suffer from jitter produced by periodic vibrati<strong>on</strong> sources such as rotating<br />

reacti<strong>on</strong> wheels. Vibrati<strong>on</strong> isolati<strong>on</strong> mounts are needed for fine pointing equipment. Active<br />

c<strong>on</strong>trol methods directly addressing frequencies <strong>of</strong> interest have the potential to completely<br />

cancel the influence <strong>of</strong> these disturbances. Matched basis functi<strong>on</strong> repetitive c<strong>on</strong>trol finds<br />

error comp<strong>on</strong>ents at these frequencies, <strong>and</strong> can c<strong>on</strong>verge to zero error, using <strong>on</strong>ly frequency<br />

resp<strong>on</strong>se knowledge at addressed frequencies. A small gain stability theory is developed, <strong>and</strong><br />

robustness to model error is established. C<strong>on</strong>trollers can be designed by pole-zero<br />

placement, bypassing the complexity <strong>of</strong> periodic coefficient equati<strong>on</strong>s needed in previous<br />

approaches.<br />

14:40<br />

ACTIVE MAGNETIC ATTITUDE CONTROL SYSTEM FOR SUN-<br />

POINTING OF A SPIN-STABILIZED SATELLITE WITHOUT INITIAL<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-07-03<br />

DETUMBLING<br />

Dmitry Roldugin <strong>and</strong> Paride Testani<br />

The angular moti<strong>on</strong> <strong>of</strong> an axisymmetrical satellite equipped with the active magnetic<br />

attitude c<strong>on</strong>trol system is c<strong>on</strong>sidered. Five different algorithms are implemented. <strong>Dynamics</strong><br />

<strong>of</strong> the satellite is analytically studied <strong>on</strong> the whole c<strong>on</strong>trol loop using averaging technique.<br />

Two coarse sun-pointing algorithms that do not need for the satellite to be detumbled <strong>and</strong><br />

nutati<strong>on</strong> damping are studied. Fine sun-pointing algorithm is implemented last. Two<br />

different algorithms are proposed. Active magnetic attitude c<strong>on</strong>trol system time-resp<strong>on</strong>se<br />

with respect to different parameters is analyzed. The results show it is better to have highinclined<br />

orbit. Terminal accuracy is obtained numerically.<br />

15:00<br />

A HYBRID ATTITUDE CONTROLLER COMPRISING OF<br />

ELECTROMAGNETIC TORQUE RODS AND AN ACTIVE FLUID RING<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-07-04<br />

N<strong>on</strong>a Abolfathi Nobari <strong>and</strong> Arun K. Misra<br />

In this paper, a micro-satellite using a hybrid c<strong>on</strong>troller c<strong>on</strong>sisting <strong>of</strong> two magnetic coils in<br />

the roll <strong>and</strong> pitch directi<strong>on</strong>s <strong>and</strong> a fluid ring in the yaw directi<strong>on</strong> is c<strong>on</strong>sidered. The c<strong>on</strong>trol<br />

torque, which stabilizes the satellite attitude angles, is divided into two comp<strong>on</strong>ents: <strong>on</strong>e<br />

comp<strong>on</strong>ent produced by the fluid ring is parallel to the Earth's magnetic field; the sec<strong>on</strong>d<br />

comp<strong>on</strong>ent is perpendicular to this directi<strong>on</strong>, which is produced by the magnetic torque<br />

rods. Then, the effect <strong>of</strong> the failure <strong>of</strong> the fluid ring <strong>and</strong> <strong>on</strong>e magnetic coil <strong>on</strong> the satellite<br />

attitude dynamics is examined.<br />

15:20<br />

FULL MAGNETIC SATELLITE ATTITUDE<br />

CONTROL USING ASRE METHOD<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-07-05<br />

Ant<strong>on</strong>io L. Rodriguez-Vazquez,<br />

Maria A. Martin-Prats, <strong>and</strong> Franco Bernelli-Zazzera<br />

This work introduces a full magnetic c<strong>on</strong>trol scheme for satellite attitude c<strong>on</strong>trol. It is<br />

particularized for a nadir pointing <strong>space</strong>craft. A new model which includes the satellite<br />

attitude dynamics <strong>and</strong> kinematics joined with the magnetic field <strong>of</strong> the Earth is presented,<br />

where the model is written in the State-Dependent-Coefficient (SDC) form. In additi<strong>on</strong>, the<br />

c<strong>on</strong>trol problem is formulated by using the Approximating Sequence <strong>of</strong> Riccati Equati<strong>on</strong><br />

algorithm <strong>and</strong> solved as a two point boundary value problem. Simulati<strong>on</strong>s results show a<br />

satisfactory behavior under some test c<strong>on</strong>diti<strong>on</strong>s.<br />

25


FINAL PROGRAM<br />

C<strong>of</strong>fee Break 15:40-16:00<br />

16.00<br />

ATTITUDE CONTROL FOR SMALL SATELLITES<br />

USING ROTATION ANGLES<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-07-06<br />

Teodor-Viorel Chelaru, Adrian-Mihail Stoica,<br />

Cristian Barbu, <strong>and</strong> Adrian Chelaru<br />

The paper present some aspects for calculus model <strong>of</strong> small satellites attitude c<strong>on</strong>trol. The<br />

satellite n<strong>on</strong>linear model presented will be with six degrees <strong>of</strong> freedom. As novelty, the<br />

rotati<strong>on</strong> angles for describe the kinematical equati<strong>on</strong>s will be used. To highlight the<br />

advantage <strong>of</strong> these parameters, kinematical equati<strong>on</strong>s will be described also by using Euler’s<br />

angles <strong>and</strong> Hamilt<strong>on</strong>'s quaterni<strong>on</strong>. Two attitude c<strong>on</strong>trol cases will be analyzed: the reacti<strong>on</strong><br />

wheels <strong>and</strong> micro jet engines. The results will be used in project European Space Mo<strong>on</strong> Orbit<br />

- ESMO founded by European Space Agency in which University POLIEHNICA <strong>of</strong> Bucharest are<br />

involved.<br />

16:20<br />

ROBUST CONTROL OF THE ADVANCED<br />

SOLID ROCKET LAUNCHER<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-07-07<br />

Yasuhiro Morita<br />

Japan’s advanced solid rocket launcher, Epsil<strong>on</strong> launch vehicle, is now under development by<br />

JAXA <strong>and</strong> its first launch is <strong>of</strong>ficially declared to be c<strong>on</strong>ducted in 2013. The c<strong>on</strong>cept <strong>of</strong> the<br />

next generati<strong>on</strong> launch system requires simpler launch system <strong>and</strong> better user friendliness to<br />

provide small satellites with an efficient launch. Such innovati<strong>on</strong> makes the robust c<strong>on</strong>trol<br />

synthesis absolutely difficult. A preliminary design, which utilizes the H infinity c<strong>on</strong>trol<br />

algorithm, indicates that the obtained robust stability can be c<strong>on</strong>sidered well within the<br />

scope <strong>of</strong> expectati<strong>on</strong>. The paper describes the current design <strong>of</strong> the attitude c<strong>on</strong>trol system<br />

<strong>of</strong> the Epsil<strong>on</strong> rocket launcher.<br />

16:40<br />

HYBRID METHODS FOR DETERMINING TIME-OPTIMAL,<br />

CONSTRAINED SPACECRAFT REORIENTATION MANEUVERS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-07-08<br />

Robert Melt<strong>on</strong><br />

Time-optimal <strong>space</strong>craft slewing maneuvers with path c<strong>on</strong>straints are difficult to compute<br />

even with direct methods. This paper examines the use <strong>of</strong> a hybrid, two-stage approach, in<br />

which a particle swarm optimizer provides a feasible path (sometimes approximately<br />

optimal), which serves as the input to a pseudospectral optimizer. Performance is compared<br />

between a particle swarm optimizer <strong>and</strong> a differential evoluti<strong>on</strong> optimizer in the first stage.<br />

17:00<br />

USING THE STATE-DEPENDENT RICCATI EQUATION<br />

AND KALMAN FILTER TECHNIQUES TO DESIGN<br />

A SATELLITE ATTITUDE CONTROL SIMULATOR<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-07-09<br />

Luiz Carlos Souza <strong>and</strong> Victor Arena<br />

This paper presents the applicati<strong>on</strong> <strong>of</strong> the State-Dependent Riccati Equati<strong>on</strong> (SDRE) method<br />

in c<strong>on</strong>juncti<strong>on</strong> with Kalman filter to design <strong>and</strong> test an attitude c<strong>on</strong>trol algorithm for a 3D<br />

satellite simulator. The c<strong>on</strong>trol strategy is based <strong>on</strong> gas jets <strong>and</strong> reacti<strong>on</strong> wheel torques to<br />

perform large angle manoeuvre in three axes. Simulati<strong>on</strong> has shown the performance <strong>and</strong><br />

robustness <strong>of</strong> the SDRE <strong>and</strong> Kalman filter c<strong>on</strong>troller applied for angular velocity reducti<strong>on</strong><br />

associated with stringent pointing requirement. The investigati<strong>on</strong> served to validate the<br />

numerical model <strong>and</strong> to verify the functi<strong>on</strong>ality <strong>of</strong> the entire simulator system.<br />

26


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

17:20<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-07-11<br />

STABLE DESIGN OF ATTITUDE CONTROL FOR A SPACECRAFT<br />

Mostafa Bagheri, Mansour Kabganian, <strong>and</strong> Reza Nadafi<br />

Designed a three-axis attitude c<strong>on</strong>trol Based <strong>on</strong> Lyapunov Stability Criteria for tracking<br />

desired path, in the present paper. Attitude c<strong>on</strong>trol system c<strong>on</strong>tains four reacti<strong>on</strong> wheels<br />

that their rotati<strong>on</strong>al axes are inclined to the x-y plane by an angle B. The simulati<strong>on</strong> results<br />

showed that the expected perfect tracking <strong>and</strong> c<strong>on</strong>troller is robust in the presence <strong>of</strong><br />

unknown external disturbances <strong>and</strong> alterati<strong>on</strong> <strong>of</strong> parameters. Results indicate c<strong>on</strong>trol robust<br />

against twenty-two fold difference <strong>of</strong> parameter (moment <strong>of</strong> inertia) <strong>and</strong> robust against<br />

disturbance 0.047 N.m that equal 39% rather the maximum torque <strong>of</strong> reacti<strong>on</strong> wheel can<br />

apply (nominal torque <strong>of</strong> reacti<strong>on</strong> wheel).<br />

Sessi<strong>on</strong> 08:<br />

Orbital <strong>Dynamics</strong> <strong>and</strong> Determinati<strong>on</strong> II (Ipanema II)<br />

Chairs: Robert MELTON <strong>and</strong> Paolo TEOFILATTO<br />

14:00-18:00<br />

14:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-08-01<br />

KEPLERIZATION OF MOTION IN ANY CENTRAL FORCE FIELD<br />

Vladimir Martinusi <strong>and</strong> Pini Gurfil<br />

The paper focuses <strong>on</strong> the closed-form soluti<strong>on</strong> <strong>of</strong> the absolute <strong>and</strong> the relative moti<strong>on</strong> under<br />

the influence <strong>of</strong> any central potential. It is proven that, by an adequate change <strong>of</strong> variable,<br />

the moti<strong>on</strong> in a central force field is reduced to a Keplerian moti<strong>on</strong>. It helps to find explicitly<br />

a Laplace-Runge-Lenz first integral, <strong>and</strong> also helps to provide a closed-form soluti<strong>on</strong> to the<br />

equati<strong>on</strong>s <strong>of</strong> moti<strong>on</strong>. The main applicati<strong>on</strong> <strong>of</strong> this approach is to change the nominal Kepler<br />

orbit by a central force field orbit, which incorporates parts <strong>of</strong> the perturbing potentials.<br />

14.20<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-08-02<br />

STABLE ARTIFICIAL EQUILIBRIUM POINTS<br />

IN THE MARS-PHOBOS SYSTEM<br />

Claudio Bombardelli<br />

The existance <strong>of</strong> stable equilibrium regi<strong>on</strong>s in the CRTBP under c<strong>on</strong>stant thrust accelerati<strong>on</strong><br />

has been pointed out recently. This article analyses the case <strong>of</strong> the Mars-Phobos system, in<br />

which stable hovering can be obtained for a <strong>space</strong>craft coorbiting with the Mo<strong>on</strong> at a<br />

distance <strong>of</strong> about 80 km from its center with less than 15 micro-g <strong>of</strong> c<strong>on</strong>stant accelerati<strong>on</strong>.<br />

The system stability is investigated analytically <strong>and</strong> verified with a full numerical model<br />

accounting for all relevant perturbati<strong>on</strong>s.<br />

14:40<br />

ORBITAL CHARACTERISTICS OF ARTIFICIAL SATELLITES<br />

AROUND PLANETARY SATELLITES<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-08-03<br />

Rodolpho Vilhena de Moraes, Jean P. S. Carvalho,<br />

<strong>and</strong> Ant<strong>on</strong>io Prado<br />

Due to the scientific purposes <strong>of</strong> the missi<strong>on</strong>s, special orbits are desirable. In this paper,<br />

c<strong>on</strong>diti<strong>on</strong>s to get stability <strong>of</strong> frozen orbits, polar orbits, low inclinati<strong>on</strong> orbits <strong>and</strong> sunsynchr<strong>on</strong>ous<br />

orbits around planetary satellites are analyzed taking into account the n<strong>on</strong>uniform<br />

distributi<strong>on</strong> <strong>of</strong> the mass <strong>of</strong> the central body <strong>and</strong> the influence <strong>of</strong> the perturbati<strong>on</strong>s<br />

due to a massive body in elliptical orbit. An analytical theory using the averaged model <strong>and</strong><br />

the Lie-Hori method is presented. Applicati<strong>on</strong>s were d<strong>on</strong>e by performing numerical<br />

integrati<strong>on</strong>s <strong>of</strong> the analytical equati<strong>on</strong>s developed. Artificial satellites orbiting the Mo<strong>on</strong> <strong>and</strong><br />

Europa are c<strong>on</strong>sidered.<br />

27


FINAL PROGRAM<br />

15.00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-08-04<br />

PERIODIC SOLUTIONS IN PLANETARY ANNULUS PROBLEM<br />

Eva Tresaco, Ant<strong>on</strong>io Elipe, <strong>and</strong> Andrés Riaguas<br />

Based <strong>on</strong> previous analyses where we analyzed the moti<strong>on</strong> <strong>of</strong> an infinitesimal particle under<br />

the attracti<strong>on</strong> <strong>of</strong> an isolated planar annulus, we raise the questi<strong>on</strong> <strong>of</strong> the dynamic around a<br />

planetary annulus, composed by a massive planar annulus <strong>and</strong> a central body. For this body,<br />

we carry out a systematic search <strong>of</strong> the most relevant soluti<strong>on</strong>s: periodic orbits. We describe<br />

the in-plane <strong>and</strong> out-<strong>of</strong>-plane moti<strong>on</strong> <strong>of</strong> by means <strong>of</strong> the numerical c<strong>on</strong>tinuati<strong>on</strong> <strong>of</strong> families<br />

<strong>of</strong> planar <strong>and</strong> 3-D periodic orbits; thus obtaining how the dynamic around a planetary ring is<br />

organized.<br />

15:20<br />

ORBITAL LAUNCH WINDOW FOR MOON-TO-EARTH<br />

TRAJECTORIES<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-08-05<br />

Jingyang Li, Shengping G<strong>on</strong>g, Hexi Baoyin,<br />

Junfeng Li, <strong>and</strong> Shing Yik Yim<br />

An analytical design method <strong>of</strong> transEarth trajectory is developed with a finite sphere <strong>of</strong><br />

influence model by the patched-c<strong>on</strong>ic technique. Orbital launch window has been<br />

established to study the missi<strong>on</strong> sensitivities to transEarth trip time <strong>and</strong> energy requirement,<br />

<strong>and</strong> also to provide the basis for the preparati<strong>on</strong> <strong>of</strong> an orbital launch timetable compatible<br />

with lunar missi<strong>on</strong>s <strong>and</strong> reentry c<strong>on</strong>diti<strong>on</strong>s requirements. Results present here are limited to<br />

a single impulsive maneuver. Difference between the results <strong>of</strong> the analytical model <strong>and</strong> high<br />

fidelity model is compared. This difference is relatively small <strong>and</strong> can be easily eliminated<br />

by a simple differential correcti<strong>on</strong> procedure.<br />

C<strong>of</strong>fee Break 15:40-16:00<br />

16:00<br />

DETECTING INVARIANT MANIFOLDS USING<br />

LAGRANGIAN COHERENT STRUCTURES<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-08-06<br />

Daniel Pérez, Gerard Gómez, <strong>and</strong> Josep J. Masdem<strong>on</strong>t<br />

In this paper we compute hyperbolic invariant manifolds <strong>of</strong> a quasi-bicircular model <strong>of</strong> four<br />

bodies by means <strong>of</strong> Lagrangian Coherent Structures (LCS). First, we use the Circular<br />

Restricted Three Body Problem (CRTBP) to see how the LCS can be used to detect<br />

stable/unstable manifolds. Then we apply the knowledge obtained to the quasi-bicircular<br />

model.<br />

16:20<br />

UNIVERSAL FUCTIONS IN THE STUDY<br />

OF THE RELATIVE ORBITAL DYNAMICS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-08-07<br />

Daniel C<strong>on</strong>durache <strong>and</strong> Vladimir Martinusi<br />

The present work <strong>of</strong>fers an approch to the relative orbital dynamics by using universal<br />

functi<strong>on</strong>s. The soluti<strong>on</strong> to the relative orbital moti<strong>on</strong> is <strong>of</strong>fered in all posible situati<strong>on</strong>, with<br />

no restricti<strong>on</strong>s imposed <strong>on</strong> the Keplerian reference <strong>and</strong> targeted trajectories. A unified view<br />

<strong>on</strong> the relative orbital moti<strong>on</strong> is sugested, by generalizing the previous approaches. The<br />

exact soluti<strong>on</strong> is <strong>of</strong>fered to the n<strong>on</strong>linear model <strong>of</strong> the relative moti<strong>on</strong> <strong>and</strong> it is expressed in<br />

a coord<strong>on</strong>ate free vectorial closed form.<br />

16:40<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-08-08<br />

A NOTE ON THE DYNAMICS AROUND THE L1,2 LAGRANGE<br />

POINTS OF THE EARTH–MOON SYSTEM<br />

IN A COMPLETE SOLAR SYSTEM MODEL<br />

Yijun Lian, Gerard Gómez,<br />

Josep J. Masdem<strong>on</strong>t, <strong>and</strong> Guojian Tang<br />

In this paper we study <strong>of</strong> the dynamics around the L1,2 librati<strong>on</strong> points <strong>of</strong> the Earth-Mo<strong>on</strong><br />

28


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

system in a full Solar System model. The study is based <strong>on</strong> the analysis <strong>of</strong> the quasi-periodic<br />

soluti<strong>on</strong>s around both equilibrium points, whose computati<strong>on</strong> is d<strong>on</strong>e using as initial seed the<br />

Lissajous orbits <strong>of</strong> CR3BP. The analysis is d<strong>on</strong>e using a detailed Fourier analysis method for<br />

the orbits. The results are compared with those obtained in [1] for the dynamics around the<br />

L2 point in the quasi-bicircular model.<br />

17:00<br />

NUMERICAL METHOD FOR COMPUTING QUASI-PERIODIC<br />

ORBITS AND THEIR STABILITY IN THE<br />

RESTRICTED THREE-BODY PROBLEM<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-08-10<br />

Zubin Olikara <strong>and</strong> Daniel Scheeres<br />

Invariant manifolds in the restricted three-body problem are a powerful tool for the design<br />

<strong>of</strong> <strong>space</strong>craft trajectories. This work presents an approach to compute families <strong>of</strong> quasiperiodic<br />

orbits <strong>and</strong> their corresp<strong>on</strong>ding Floquet matrices. This matrix provides linear stability<br />

informati<strong>on</strong> <strong>and</strong> can be used to generate stable <strong>and</strong> unstable manifolds for hyperbolic quasiperiodic<br />

orbits. Including these orbits al<strong>on</strong>g with periodic orbits in the design <strong>space</strong> <strong>of</strong>fers<br />

additi<strong>on</strong>al low-energy transfer opti<strong>on</strong>s. Both the circular <strong>and</strong> elliptic restricted three-body<br />

problems are c<strong>on</strong>sidered.<br />

Sessi<strong>on</strong> 09:<br />

Spacecraft Guidance, Navigati<strong>on</strong>, <strong>and</strong> C<strong>on</strong>trol II (Biombo)<br />

Chair: Ijar da FONSECA<br />

14:00-18:00<br />

14.00<br />

MODIFIED ACTIVE DISTURBANCE REJECTION CONTROL<br />

FOR STATION-KEEPING OF ELECTROMAGNETIC<br />

SATELLITE FORMATIONS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-09-01<br />

Weiwei Tsai, Leping Yang, <strong>and</strong> Yanwei Zhu<br />

The high precisi<strong>on</strong> c<strong>on</strong>trol problem for stati<strong>on</strong>-keeping <strong>of</strong> electromagnetic satellite<br />

formati<strong>on</strong>s is investigated. Electromagnetic formati<strong>on</strong> flight is a novel technology <strong>of</strong> stati<strong>on</strong>keeping<br />

that does not require propellant. C<strong>on</strong>trol precisi<strong>on</strong> <strong>of</strong> stati<strong>on</strong>-keeping could be<br />

improved since the electromagnetic forces are c<strong>on</strong>tinuous <strong>and</strong> reversible. C<strong>on</strong>sidering the<br />

internal <strong>and</strong> external disturbance in the system, a high precisi<strong>on</strong> c<strong>on</strong>trol scheme is designed<br />

based <strong>on</strong> active disturbance rejecti<strong>on</strong> c<strong>on</strong>trol (ADRC) technology. To improve the capability<br />

<strong>of</strong> ADRC, ideas <strong>of</strong> sliding model c<strong>on</strong>trol <strong>and</strong> other modificati<strong>on</strong> are introduced in ADRC.<br />

Simulati<strong>on</strong> results are presented to validate the feasibility <strong>and</strong> efficiency <strong>of</strong> the modified<br />

ADRC method.<br />

14:20<br />

SPACECRAFT ELECTROMAGNETIC DOCKING:<br />

A REVIEW AND NEW RESULTS ON DYNAMICS AND CONTROL<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-09-02<br />

Zhang Yuan-Wen, Yang Le-Ping,<br />

Zhu Yan-Wei, Huang Huan, <strong>and</strong> Cai Wei-Wei<br />

This paper presents a review <strong>on</strong> the field <strong>of</strong> <strong>space</strong>craft electromagnetic docking, including<br />

the issues <strong>of</strong> dynamics <strong>and</strong> c<strong>on</strong>trol. Four c<strong>on</strong>trol characteristics are introduced <strong>and</strong> studied:<br />

inter-satellite force trait, coupling, uncertainty <strong>and</strong> c<strong>on</strong>trol capability insufficiency. Some<br />

novel n<strong>on</strong>linear c<strong>on</strong>trol approaches are also derived. Firstly, Extended State Observer<br />

method is applied to estimating the model uncertainties which are compensated by the<br />

feedback <strong>of</strong> its equivalent estimate. Sec<strong>on</strong>dly, a dynamic model with twice electromagnetic<br />

force in the right <strong>of</strong> Hill’s model <strong>and</strong> a practical tracking c<strong>on</strong>trol approach are derived. At<br />

the end, some useful c<strong>on</strong>clusi<strong>on</strong>s <strong>and</strong> suggesti<strong>on</strong>s are put forward.<br />

29


FINAL PROGRAM<br />

14.40<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-09-03<br />

A GROUND FACILITY TO TEST GNC ALGORITHMS AND SENSORS<br />

FOR AUTONOMOUS RENDEZVOUS AND DOCKING<br />

Giorgio Guglieri, Pasquale Pellegrino, <strong>and</strong> Liliana Torre<br />

The paper presents the c<strong>on</strong>cepts <strong>and</strong> the design issues for a GNC implemented in a ground<br />

facility used as a rendezvous <strong>and</strong> docking dem<strong>on</strong>strator together with the related simulator,<br />

developed within the STEPS project (Systems <strong>and</strong> Technologies for Space Explorati<strong>on</strong>), a<br />

research project co-financed by Piedm<strong>on</strong>t Regi<strong>on</strong> within EC program P.O.R - F.E.S.R. 2007-<br />

2013. The GNC <strong>and</strong> the architecture <strong>of</strong> the test-bed are detailed, including a performance<br />

analysis based <strong>on</strong> simulated <strong>and</strong> measured data.<br />

15.00<br />

HARDWARE-IN-THE-LOOP RENDEZVOUS SIMULATION<br />

INVOLVING AN AUTONOMOUS GUIDANCE,<br />

NAVIGATION AND CONTROL SYSTEM<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-09-04<br />

Heike Benningh<strong>of</strong>f, Toralf Boge, <strong>and</strong> Tristan Tzschichholz<br />

The rendezvous process is a key technology in multi-<strong>space</strong>craft missi<strong>on</strong>s like <strong>on</strong>-orbit<br />

servicing missi<strong>on</strong>s. An active <strong>space</strong>craft (chaser) approaches a passive <strong>space</strong>craft (target) in<br />

its orbit by performing c<strong>on</strong>trolled orbit <strong>and</strong> attitude maneuvers. The paper presents an<br />

aut<strong>on</strong>omous guidance, navigati<strong>on</strong> <strong>and</strong> c<strong>on</strong>trol system for rendezvous using a m<strong>on</strong>ocular<br />

camera as visi<strong>on</strong>-based sensor for relative navigati<strong>on</strong>. Image processing algorithms <strong>and</strong><br />

navigati<strong>on</strong> filters are employed to get accurate informati<strong>on</strong> about the relative positi<strong>on</strong> <strong>and</strong><br />

attitude between the two <strong>space</strong>crafts. The rendezvous sensor <strong>and</strong> the entire GNC system is<br />

tested <strong>and</strong> verified at DLR’s robotic-based test bed European Proximity Operati<strong>on</strong>s Simulator<br />

2.0.<br />

15.20<br />

DIFFERENTIAL DRAG SPACECRAFT RENDEZVOUS<br />

USING ADAPTIVE LYAPUNOV CONTROL STRATEGY<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-09-05<br />

David Perez <strong>and</strong> Riccardo Bevilacqua<br />

The c<strong>on</strong>trol forces required for rendezvous maneuvers at LEO orbits can be generated by<br />

varying the aerodynamic drag affecting each <strong>space</strong>craft. This can be accomplished by<br />

rotating a set <strong>of</strong> panels. Thus, the relative <strong>space</strong>craft moti<strong>on</strong> can be c<strong>on</strong>trolled without using<br />

any propellant or fuel since the moti<strong>on</strong> <strong>of</strong> the panels can be powered by solar energy. An<br />

Adaptive Lyapunov C<strong>on</strong>troller is designed. A limit for the minimum drag accelerati<strong>on</strong> that<br />

ensures Lyapunov stability is found <strong>and</strong> used to adapt the Lyapunov c<strong>on</strong>troller to enhance its<br />

performance. The method is validated using simulati<strong>on</strong>s in STK.<br />

C<strong>of</strong>fee Break 15:40-16:00<br />

16:00<br />

STATE-DEPENDENT RICATTI EQUATION CONTROL<br />

FOR AUTONOMOUS DOCKING OF SPACECRAFT<br />

WITH COUPLED TRANSLATIONAL AND ROTATIONAL DYNAMICS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-09-07<br />

Daero Lee <strong>and</strong> Hyocho<strong>on</strong>g Bang<br />

Accurate dynamic modeling for the translati<strong>on</strong>al <strong>and</strong> rotati<strong>on</strong>al maneuvers between two<br />

<strong>space</strong>craft is essential for the final phase <strong>of</strong> an aut<strong>on</strong>omous docking. This paper describes<br />

the state-dependent Ricatti equati<strong>on</strong> c<strong>on</strong>trol to meet the c<strong>on</strong>diti<strong>on</strong>s for aut<strong>on</strong>omous docking<br />

<strong>of</strong> <strong>space</strong>craft with coupled translati<strong>on</strong>al <strong>and</strong> rotati<strong>on</strong>al dynamics. The c<strong>on</strong>trol design is based<br />

<strong>on</strong> a full, six-degrees-<strong>of</strong>-freedom, n<strong>on</strong>linear coupled dynamic model. The <strong>space</strong>craft is<br />

required to be able to perform translati<strong>on</strong>al <strong>and</strong> rotati<strong>on</strong>al maneuvers with sufficient<br />

accuracy. Numerical simulati<strong>on</strong>s are used to dem<strong>on</strong>strate that the coupled translati<strong>on</strong>al <strong>and</strong><br />

30


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

rotati<strong>on</strong>al moti<strong>on</strong> models can be effective in achieving the c<strong>on</strong>diti<strong>on</strong>s for an aut<strong>on</strong>omous<br />

docking.<br />

16:20<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-09-09<br />

OBSERVER-BASED FINITE TIME CONTROL<br />

FOR PROXIMITY TO TARGET SPACECRAFT<br />

Shunan Wu, Zhaowei Sun, <strong>and</strong> Juntian Si<br />

The finite time c<strong>on</strong>trol for proximity to target <strong>space</strong>craft is investigated in this paper. Two<br />

finite time c<strong>on</strong>trollers, based <strong>on</strong> fast terminal sliding mode technique, are respectively<br />

proposed to perform proximity maneuver, which can drive relative positi<strong>on</strong> <strong>and</strong> velocity to<br />

the equilibrium in finite time rather than in asymptotic sense. In particular, the escape<br />

maneuver <strong>of</strong> target <strong>space</strong>craft is further c<strong>on</strong>sidered, <strong>and</strong> a finite time observer is designed<br />

<strong>and</strong> included in the modified c<strong>on</strong>troller to compensate the escape accelerati<strong>on</strong>. The observer<br />

can estimate the escape accelerati<strong>on</strong> in finite time. Simulati<strong>on</strong>s are provided to illustrate<br />

the performance <strong>of</strong> the proposed c<strong>on</strong>trollers.<br />

16:40<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-09-10<br />

IMAGE BASED CONTROL OF A FREE FLYING PLATFORM<br />

Marco Sabatini <strong>and</strong> Giovanni Battista Palmerini<br />

A free floating platform is realized with a pneumatic suspensi<strong>on</strong> system which enables a bidimensi<strong>on</strong>al<br />

test <strong>of</strong> <strong>space</strong> operati<strong>on</strong>s. The platform is equipped with an IMU <strong>and</strong> actuated via<br />

cold gas thrusters. A target will be acquired by an <strong>on</strong>-board camera <strong>and</strong> the image processed<br />

for evaluating the c<strong>on</strong>trol acti<strong>on</strong>s needed to reach it. A special effort will be devoted to the<br />

reducti<strong>on</strong> <strong>of</strong> the computati<strong>on</strong>al load for the image processing, because <strong>of</strong> the limited <strong>on</strong>board<br />

computati<strong>on</strong>al resources. Algorithms based <strong>on</strong> the predicti<strong>on</strong> <strong>of</strong> the relative targetplatform<br />

moti<strong>on</strong> will be used to avoid false target identificati<strong>on</strong>s <strong>and</strong> c<strong>on</strong>sequent missi<strong>on</strong><br />

failure.<br />

Wednesday, March 21, 2012<br />

Sessi<strong>on</strong> 10:<br />

Space Structures <strong>and</strong> Tethers (Ipanema I)<br />

Chairs: Harij<strong>on</strong>o DJOJODIHARDJO <strong>and</strong> Ivan KOSENKO<br />

8:30-12:30<br />

8:30<br />

NUMERICAL SIMULATIONS OF AN ELECTRODYNAMIC TETHER<br />

DEPLOYMENT FROM A SPOOL-TYPE REEL USING THRUSTERS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-10-01<br />

Kentaro Iki, Satomi Kawamoto, <strong>and</strong> Yoshiki Morino<br />

The Japan Aero<strong>space</strong> Explorati<strong>on</strong> Agency (JAXA) has been investigating an active debris<br />

removal system that employs highly efficient electrodynamic tether (EDT) technology for<br />

orbital transfer. This study investigates the tether deployment from a spool-type reel using<br />

thrusters by means <strong>of</strong> numerical simulati<strong>on</strong>s <strong>of</strong> an EDT system. The thrusters are used in<br />

order to ensure the deployment <strong>of</strong> a tether with the length <strong>of</strong> several kilometers. In the<br />

numerical simulati<strong>on</strong>s using a multiple mass tether model, the dynamics <strong>of</strong> tether<br />

deployment is studied <strong>and</strong> requirements <strong>of</strong> thruster needed for the deployment is clarified.<br />

8:50<br />

STABLE AND UNSTABLE RELATIVE EQUILIBRIA<br />

OF TWO TETHERED SATELLITES<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-10-02<br />

Hassan Asiri<br />

A tethered satellite system c<strong>on</strong>sisting <strong>of</strong> two point masses c<strong>on</strong>nected by a massless rigid rod<br />

31


FINAL PROGRAM<br />

is c<strong>on</strong>sidered. Stability <strong>of</strong> relative equilibria <strong>of</strong> the system moving in a circular orbit around<br />

the Earth in two dimensi<strong>on</strong>s is studied. Equati<strong>on</strong>s <strong>of</strong> moti<strong>on</strong> <strong>of</strong> the system are derived <strong>and</strong><br />

two soluti<strong>on</strong>s for these equati<strong>on</strong>s are obtained. These soluti<strong>on</strong>s represent two different<br />

orientati<strong>on</strong>s <strong>of</strong> the system in <strong>space</strong>: radial <strong>and</strong> tangential. The reduced energy-momentum<br />

method is applied to analyze the stability <strong>of</strong> these orientati<strong>on</strong>s. The system is said to be<br />

stable <strong>on</strong>ly at the radial positi<strong>on</strong>.<br />

9:10<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-10-06<br />

CSI DUE TO SLOSHING MOTION ON LEO LSS<br />

Ijar da F<strong>on</strong>seca <strong>and</strong> Peter Bainum<br />

This paper discusses the mathematical modeling approaches to represent the sloshing<br />

dynamics, the effect <strong>of</strong> sloshing moti<strong>on</strong> <strong>on</strong> <strong>space</strong>craft system stabilizati<strong>on</strong>, the problem <strong>of</strong><br />

internal energy dissipati<strong>on</strong> associated with rotating <strong>space</strong>crafts, <strong>and</strong> existing s<strong>of</strong>tware tools<br />

for dynamics analysis <strong>of</strong> the sloshing problem. The sloshing phenomen<strong>on</strong> is presented <strong>and</strong><br />

discussed in the scope <strong>of</strong> microgravity envir<strong>on</strong>ment that characterizes the <strong>on</strong> orbit <strong>space</strong><br />

vehicles. The gravity-gradient is c<strong>on</strong>sidered as the main disturbing effect <strong>on</strong> the LSS<br />

attitude. The proporti<strong>on</strong>al integral derivative (PID) c<strong>on</strong>trol approach is used to derive the<br />

c<strong>on</strong>trol law <strong>and</strong> the actuators are a set <strong>of</strong> reacti<strong>on</strong> wheels <strong>and</strong> thrusters.<br />

9:30<br />

QUASI-PERIODIC MOTION OF A GROUND-BASED<br />

TETHERED SUB-SATELLITE WITH ATTITUDE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-10-07<br />

D<strong>on</strong>gping Jin, Xiaoyu Wang, <strong>and</strong> Hao Wen<br />

The quasi-periodic oscillati<strong>on</strong> <strong>of</strong> a tethered satellite system with attitude is studied, based<br />

<strong>on</strong> the dynamic similarity. The dimensi<strong>on</strong>less ordinary differential equati<strong>on</strong>s that govern the<br />

dynamics <strong>of</strong> the in-plane tethered sub-satellite system are obtained according to Kane’s<br />

method. Numerical simulati<strong>on</strong>s show that there exists a quasi-periodic oscillati<strong>on</strong> in the<br />

system. To verify the quasi-periodic oscillati<strong>on</strong>, an experimental test <strong>on</strong> the quasi-periodic<br />

moti<strong>on</strong> is made via a ground-based tethered satellite system, which is featured by using a<br />

combinati<strong>on</strong> <strong>of</strong> air-bearing facilities <strong>and</strong> <strong>on</strong>-board thrusts to achieve the simulati<strong>on</strong> <strong>of</strong> the<br />

gravity gradient field forces as well as Coriolis force.<br />

C<strong>of</strong>fee Break 10:10-10:30<br />

10:30<br />

EFFECTS OF UNCERTAINTIES AND FLEXIBLE DYNAMIC<br />

CONTRIBUTIONS ON THE CONTROL OF A SPACECRAFT FULL-<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-10-08<br />

COUPLED MODEL<br />

Paolo Gasbarri, Riccardo M<strong>on</strong>ti, <strong>and</strong> Marco Sabatini<br />

The aim <strong>of</strong> this work is to present, by starting from the structural FEM model <strong>of</strong> flexible very<br />

large <strong>space</strong> structure, a new <strong>space</strong>craft model more suitable for the design attitude c<strong>on</strong>trol<br />

laws. In this model the coupling effects between the gravitati<strong>on</strong>al forces <strong>and</strong> the elastic<br />

modes will be c<strong>on</strong>sidered in order to obtain a full-coupled model. In a sec<strong>on</strong>d phase the<br />

model will be used to evaluate the uncertainties effects <strong>on</strong> the inertial properties <strong>and</strong> <strong>on</strong> the<br />

modal parameters <strong>on</strong> the robustness <strong>of</strong> comm<strong>on</strong> attitude c<strong>on</strong>trol laws such as the PD, PID<br />

<strong>and</strong> LQR applied to an orbiting <strong>space</strong>craft.<br />

10:50<br />

MODAL PARAMETERS IDENTIFICATION OF A TWO-DIMENSIONAL<br />

SPACE STRUCTURE VIA VISUAL BASED TECHNIQUE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-10-09<br />

Riccardo M<strong>on</strong>ti, Paolo Gasbarri,<br />

Marco Sabatini, <strong>and</strong> Giovanni Palmerini<br />

In this paper, an operati<strong>on</strong>al technique for the vibrating c<strong>on</strong>diti<strong>on</strong> identificati<strong>on</strong> is proposed,<br />

32


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

based <strong>on</strong> the use <strong>of</strong> visual based systems coupled with OMA (Operati<strong>on</strong>al Modal Analysis).<br />

With respect to other proposed approaches managing flexibility effects, as nets <strong>of</strong><br />

accelerometers or even GNSS receivers, visual techniques are by far simpler to implement<br />

<strong>and</strong> pose less c<strong>on</strong>straints to the structure design. The use, even as an opportunity technique,<br />

<strong>of</strong> optical sensors to m<strong>on</strong>itor structural behavior in <strong>space</strong> systems has been the topic <strong>of</strong><br />

previous research works.<br />

11:10<br />

GENERAL CONCEPTUAL DESIGN PROBLEMS<br />

OF A PARABOLIC SPACE STRUCTURE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-10-10<br />

Pedro Gamboa, José Silva, Anna Guerman,<br />

Filipe Couceiro, <strong>and</strong> Benjamin Schneuwly<br />

This paper addresses the c<strong>on</strong>ceptual design <strong>of</strong> a parabolic <strong>space</strong> structure with <strong>on</strong>e major<br />

requirement: the maintenance <strong>of</strong> a perfect parabolic shape required to maximize the<br />

amount <strong>of</strong> sunlight reflected to its focal point. The work is divided into two main parts<br />

aiming at assessing distinct approaches to the parabolic c<strong>on</strong>figurati<strong>on</strong>. The first <strong>on</strong>e<br />

determines the deformed shape <strong>of</strong> a flat circular membrane subject to an initially uniformly<br />

distributed load representative <strong>of</strong> the solar pressure <strong>and</strong> the sec<strong>on</strong>d part relies up<strong>on</strong> the<br />

analysis <strong>of</strong> the deformed field <strong>of</strong> a boom/membrane umbrella-like structure where several<br />

design parameters are taken into c<strong>on</strong>siderati<strong>on</strong>.<br />

11:30<br />

ANALYSIS OF DESIGN PARAMETER INFLUENCE ON THE DYNAMIC<br />

FREQUENCY RESPONSE OF CFFF HONEYCOMB SANDWICH PLATE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-10-11<br />

Mankour Abdeldjelil, Boudjemai Abdelmadjid,<br />

Salem Houria, <strong>and</strong> Amri Reda<br />

In the aero<strong>space</strong> domain, s<strong>and</strong>wich plates represent an efficient structural element,<br />

providing a high stiffness/weight ratio characteristic. Moreover, when using this structural<br />

element, different design parameters <strong>and</strong> materials <strong>of</strong> the core can be adopted in order to<br />

obtain desired properties. Geometric parameters <strong>of</strong> hexag<strong>on</strong>al plate is specific to absorb<br />

vibrati<strong>on</strong>s, hence the effect <strong>of</strong> each parameters is crucial to determine the rigidity <strong>of</strong> plates<br />

under a single-point cyclic loading.<br />

Sessi<strong>on</strong> 11: Missi<strong>on</strong> Design <strong>and</strong> Optimizati<strong>on</strong> II (Ipanema II) 8:30-12:30<br />

Chair: Ant<strong>on</strong>io PRADO<br />

8:30<br />

MINIMUM FUEL MULTI-IMPULSIVE ORBITAL MANEUVERS<br />

USING GENETIC ALGORITHMS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-11-01<br />

Denils<strong>on</strong> Santos <strong>and</strong> Ant<strong>on</strong>io Prado<br />

This research has the goal to analyze optimal multi-impulsive rendezvous maneuvers<br />

between two <strong>space</strong>crafts that are in coplanar orbits. The main objective is to optimize these<br />

transfers with respect to the fuel c<strong>on</strong>sumpti<strong>on</strong>, not c<strong>on</strong>sidering the time required for the<br />

transfer <strong>and</strong> using multiple burns during the process. A genetic algorithm is used in order to<br />

solve the optimizati<strong>on</strong> problem. The problem will be solved using a different number <strong>of</strong><br />

impulses, in order to verify which <strong>on</strong>e has the lowest c<strong>on</strong>sumpti<strong>on</strong>. Several missi<strong>on</strong>s can<br />

benefit from the optimizati<strong>on</strong> techniques showed in this work.<br />

8:50<br />

MISSION ANALYSIS AND SYSTEMS DESIGN<br />

OF A NEAR-TERM AND FAR-TERM POLE-SITTER MISSION<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-11-02<br />

Jeannette Heiligers, Matteo Ceriotti, Colin McInnes,<br />

<strong>and</strong> James Biggs<br />

The pole-sitter c<strong>on</strong>cept involves a <strong>space</strong>craft that is c<strong>on</strong>tinuously above the North or South<br />

33


FINAL PROGRAM<br />

Pole. As such, it can provide c<strong>on</strong>tinuous <strong>and</strong> hemispherical coverage <strong>of</strong> the polar regi<strong>on</strong>s. To<br />

provide the required thrust, two propulsi<strong>on</strong> strategies are proposed, resulting in a near-term<br />

<strong>and</strong> far-term pole-sitter missi<strong>on</strong> using solar electric propulsi<strong>on</strong> (SEP) <strong>and</strong> hybridised SEP <strong>and</strong><br />

solar sailing, respectively. For both cases the missi<strong>on</strong> analysis <strong>and</strong> systems design will be<br />

provided, including minimum propellant pole-sitter orbits, optimal Earth to pole-sitter<br />

transfers, a detailed mass budget analysis to trade-<strong>of</strong>f missi<strong>on</strong> lifetime <strong>and</strong> payload mass <strong>and</strong><br />

a feedback c<strong>on</strong>trol system for orbital c<strong>on</strong>trol.<br />

9:10<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-11-03<br />

STATION KEEPING OF A SOLAR SAIL AROUND A HALO ORBITS<br />

Ariadna Farrés <strong>and</strong> Angel Jorba<br />

In this work we will discuss the c<strong>on</strong>trollability <strong>of</strong> a solar sail around a Halo Orbit in the Earth<br />

- Sun system. We use dynamical system tools to underst<strong>and</strong> the phase <strong>space</strong> behaviour for<br />

changes <strong>on</strong> the sail orientati<strong>on</strong>. We will then use this informati<strong>on</strong> to derive a stati<strong>on</strong> keeping<br />

strategy. We will also test their robustness when different sources <strong>of</strong> errors in positi<strong>on</strong> <strong>and</strong><br />

attitude <strong>and</strong> included in the simulati<strong>on</strong>s.<br />

9:30<br />

SIMPLE METHOD FOR PERFORMANCE EVALUATION<br />

OF MULTISTAGE ROCKETS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-11-05<br />

Paolo Te<strong>of</strong>ilatto <strong>and</strong> Mauro P<strong>on</strong>tani<br />

Performance evaluati<strong>on</strong> <strong>of</strong> multistage rockets is aimed at defining the maximum payload<br />

mass that can be inserted in the desired orbit. This work proposes a simple method for a fast<br />

performance evaluati<strong>on</strong> <strong>of</strong> multistage rockets. The technique at h<strong>and</strong> is based <strong>on</strong> three<br />

steps: (i) the flight path angle at each stage separati<strong>on</strong> is guessed through analytical<br />

formulas, (ii) the <strong>space</strong>craft velocity is maximized at each stage separati<strong>on</strong>, <strong>and</strong> (iii) coasting<br />

arcs are determined in a semi-analytical way. Comparis<strong>on</strong> <strong>of</strong> the results with the nominal<br />

trajectory <strong>of</strong> the VEGA launcher dem<strong>on</strong>strates the suitability <strong>of</strong> the present approach.<br />

C<strong>of</strong>fee Break 10:10-10:30<br />

10:30<br />

ASSESSMENT OF THE PROBABILITY OF COLLISION AMONG SPACE<br />

OBJECTS, 2009 IRIDIUM-COSMOS COLLISION CASE STUDY<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-11-06<br />

Navabi <strong>and</strong> R. Hamrah<br />

This paper deals with the assessment <strong>of</strong> the collisi<strong>on</strong> probability related to some predicted<br />

close approaches between two orbiting <strong>space</strong> objects. This follows that if a critical distance<br />

is going to be happened <strong>and</strong> the probability <strong>of</strong> its occurrence is exceeding a safe threshold,<br />

the time available for collisi<strong>on</strong> avoidance maneuver will be obtained. Simplifying<br />

assumpti<strong>on</strong>s such as a linear relative moti<strong>on</strong> <strong>and</strong> normally distributed positi<strong>on</strong> uncertainties<br />

at predicted closest approach time are applied to estimate the probability <strong>of</strong> collisi<strong>on</strong> using a<br />

formulati<strong>on</strong> that takes into account the object sizes, covariance <strong>and</strong> the relative distance at<br />

point <strong>of</strong> closest approach.<br />

10:50<br />

DEFINITION AND GENERATION<br />

OF MULTI-SEGMENT LUNAR FREE-RETURN TRAJECTORIES<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-11-07 Jingyang Li, Shengping G<strong>on</strong>g, Hexi Baoyin, Junfeng Li, <strong>and</strong> Xue Ma<br />

A multi-segment lunar free return trajectory for human missi<strong>on</strong>s is proposed. Differing from<br />

hybrid returns this transfer trajectory c<strong>on</strong>sist <strong>of</strong> free return secti<strong>on</strong>s <strong>on</strong>ly, while retaining the<br />

advantage <strong>of</strong> hybrid returns. The translunar injecti<strong>on</strong> is made <strong>on</strong>to a free-return trajectory<br />

with a great perilune altitude, <strong>and</strong> then the <strong>space</strong>craft performs a transfer maneuver <strong>on</strong>to a<br />

new free-return translunar trajectory from which the lunar orbit inserti<strong>on</strong> can be performed.<br />

34


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

An analytical design method <strong>of</strong> the multi-segment free return trajectories is developed.<br />

Difference between analytical <strong>and</strong> high fidelity models is relatively small <strong>and</strong> can be easily<br />

eliminated by a differential correcti<strong>on</strong> process.<br />

11:10<br />

APPLICATIONS OF GRAVITY ASSIST FLIGHT IN SEVERAL<br />

WELL KNOWN MISSIONS IN THE PAST<br />

THREE DECADES AND ITS PROSPECT<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-11-08<br />

Simei Ji<br />

A decade ago, G.A. Fl<strong>and</strong>ro published a paper tracing the true origins <strong>of</strong> gravity assist <strong>and</strong> its<br />

applicati<strong>on</strong> in <strong>space</strong>flight. Ten years past, new papers appeared, graphical design methods<br />

become popular, example calculati<strong>on</strong>s being carried out <strong>and</strong> s<strong>of</strong>tware developed for<br />

automatic design, more importantly, dozens <strong>of</strong> missi<strong>on</strong>s have been successful operated based<br />

<strong>on</strong> it. This paper focuses <strong>on</strong> the currently widespread methods <strong>of</strong> multi-gravity assist design,<br />

emphasized <strong>on</strong> the applicati<strong>on</strong> <strong>of</strong> the theory in several well-d<strong>on</strong>e missi<strong>on</strong>s, analyzed <strong>and</strong><br />

compared the utility <strong>of</strong> gravity assist transfers in these missi<strong>on</strong>s, summarized several<br />

important aspects for the further applicati<strong>on</strong> in future <strong>space</strong>flight.<br />

11:30<br />

MISSION ANALYSIS FOR OPERATIONAL ORBIT<br />

AND TRANSFER STRATEGY OF ESA PROBA-3 MISSION<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-11-09<br />

Gabriele Bellei <strong>and</strong> Juan L. Cano<br />

Proba-3 is the third in ESA’s series <strong>of</strong> missi<strong>on</strong>s for validating developments in <strong>space</strong> systems<br />

<strong>and</strong> will dem<strong>on</strong>strate the technologies required for formati<strong>on</strong> flying <strong>of</strong> two <strong>space</strong>craft. This<br />

work presents all the missi<strong>on</strong> analysis activities carried out for the design <strong>of</strong> the operati<strong>on</strong>al<br />

orbit <strong>and</strong> the ascent trajectory from launch to the operati<strong>on</strong>al orbit. The operati<strong>on</strong>al orbit is<br />

designed to be a HEO with period <strong>of</strong> 19.8 hours <strong>and</strong> synchr<strong>on</strong>icity <strong>of</strong> 14/17 which allows<br />

operating nominally for 2 years <strong>and</strong> an extensi<strong>on</strong> <strong>of</strong> another 2 <strong>and</strong> naturally re-enters Earth<br />

before 25 years from launch.<br />

11:50<br />

OPTIMIZATION OF TARGET FUNCTIONING PLANS AND<br />

CONSTELLATIONS OF SATELLITE OBSERVATION<br />

AND COMMUNICATION SYSTEMS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-11-10<br />

Valeriy Darnopykh <strong>and</strong> Veniamin Malyshev<br />

An important c<strong>on</strong>trol aspect <strong>of</strong> modern satellite observati<strong>on</strong> <strong>and</strong> communicati<strong>on</strong> systems is<br />

the c<strong>on</strong>trol <strong>of</strong> functi<strong>on</strong>al processes. Systems c<strong>on</strong>stellati<strong>on</strong>s can include any number <strong>of</strong><br />

<strong>space</strong>crafts (SC) in different planes. C<strong>on</strong>stellati<strong>on</strong>s optimizati<strong>on</strong> is necessary for increase<br />

efficiency <strong>of</strong> multi-satellite systems target functi<strong>on</strong>ing. This is polynomial complexity<br />

fundamental problem. The paper's purpose is presentati<strong>on</strong> <strong>of</strong> the methodical approach for<br />

problem soluti<strong>on</strong>. It realizes several stages based <strong>on</strong> the repeated soluti<strong>on</strong> <strong>of</strong> operative plan<br />

optimizati<strong>on</strong>. Several examples are c<strong>on</strong>sidered <strong>and</strong> illustrated for c<strong>on</strong>stellati<strong>on</strong>s: <strong>of</strong><br />

observati<strong>on</strong> SC with parameters <strong>of</strong> "RapidEye" <strong>and</strong> "CBERS" systems, <strong>of</strong> “Iridium” (66 SC) <strong>and</strong><br />

"Teledesic" (288 SC) global communicati<strong>on</strong> systems.<br />

Sessi<strong>on</strong> 12:<br />

Satellite C<strong>on</strong>stellati<strong>on</strong>s <strong>and</strong> Formati<strong>on</strong> Flying II (Biombo)<br />

Chairs: David FOLTA <strong>and</strong> Georgi SMIRNOV<br />

8:30-12:30<br />

8:30<br />

ANALYSIS OF SATELLITE CONSTELLATIONS ON PSEUDO-SUN-<br />

SYNCHRONOUS, HIGHLY ELLIPTICAL ORBITS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-01<br />

Yuri Ulybyshev<br />

For almost c<strong>on</strong>tinuous coverage <strong>of</strong> lighting Earth’s areas can be used new pseudo-sun-<br />

35


36<br />

FINAL PROGRAM<br />

synchr<strong>on</strong>ous highly elliptic orbits using the critical inclinati<strong>on</strong> <strong>and</strong> orbit apogee in the Earth’s<br />

hemisphere with the coverage areas.. In opposite to the classical Molniya-type orbits, the<br />

new orbits are synchr<strong>on</strong>ized with the solar time (or the solar day) that the apogee time is<br />

coincident with the local no<strong>on</strong> <strong>of</strong> a coverage area. Qualitative analysis <strong>and</strong> simulati<strong>on</strong> results<br />

for the c<strong>on</strong>stellati<strong>on</strong>s with 2-4 satellites at the orbits are presented. For such coverage, the<br />

c<strong>on</strong>stellati<strong>on</strong>s required less satellites than highly elliptical, Molniya-type c<strong>on</strong>stellati<strong>on</strong>s for<br />

c<strong>on</strong>tinuous z<strong>on</strong>al or regi<strong>on</strong>al coverage.<br />

8:50<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-02<br />

CONSTELLATION DESIGN FOR RESPONSIVE REVISITING<br />

Ming Xu <strong>and</strong> Colin McInnes<br />

Resp<strong>on</strong>sive communicati<strong>on</strong>s or rec<strong>on</strong>naissance missi<strong>on</strong>s typically require frequent revisit to<br />

any point <strong>of</strong> the Earth’s surface <strong>and</strong> employ a c<strong>on</strong>stellati<strong>on</strong> with two satellites to improve<br />

coverage performance. Different from traditi<strong>on</strong>al c<strong>on</strong>stellati<strong>on</strong>s, an interesting c<strong>on</strong>stellati<strong>on</strong><br />

holding the interval between the successive revisits <strong>on</strong> all latitudes is presented in this<br />

paper. Numerical simulati<strong>on</strong> is implemented to illustrate that the revisiting c<strong>on</strong>stellati<strong>on</strong><br />

exists in a large regi<strong>on</strong> parameterized by the relative values <strong>of</strong> right ascensi<strong>on</strong> <strong>of</strong> ascending<br />

node <strong>and</strong> argument <strong>of</strong> latitude. Finally the analytic soluti<strong>on</strong> to the existence <strong>of</strong> the<br />

significant c<strong>on</strong>stellati<strong>on</strong> is provided.<br />

9:10<br />

APPLICATION OF SDRE TECHNIQUE TO ORBITAL AND ATTITUDE<br />

CONTROL OF SPACECRAFT FORMATION FLYING<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-03<br />

Mauro Massari <strong>and</strong> Mattia Zamaro<br />

In this paper a c<strong>on</strong>trol system for orbital <strong>and</strong> attitude dynamics <strong>of</strong> Formati<strong>on</strong> Flying is<br />

presented. The c<strong>on</strong>trol exploits the coupling imposed by the set <strong>of</strong> thrusters used for the<br />

c<strong>on</strong>trol <strong>of</strong> both the relative dynamics. The design is based <strong>on</strong> the State-Dependent-Riccati-<br />

Equati<strong>on</strong> Technique which has been recently applied to n<strong>on</strong>linear system in many field <strong>of</strong><br />

engineering. The SDRE algorithm is implemented with a timing strategy for both the<br />

c<strong>on</strong>troller <strong>and</strong> the n<strong>on</strong>linear Kalman filter to reduce the computati<strong>on</strong>al burden. Numerical<br />

results c<strong>on</strong>sidering the ESA Proba-3 missi<strong>on</strong> as test-bed will be presented for both orbital <strong>and</strong><br />

attitude relative manoeuvre.<br />

9:30<br />

ON HILL’S CLOHESSEY WILTSHIRE EQUATION<br />

FOR ANALYSIS OF RELATIVE MOTION<br />

OF FORMATION FLYING GEO-STATIONARY SATELLITES<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-04<br />

Vinod Kumar, Hari B. Hablani, <strong>and</strong> Ramalingam P<strong>and</strong>iyan<br />

This paper uses HCW equati<strong>on</strong>s to study the natural relative moti<strong>on</strong> <strong>of</strong> formati<strong>on</strong> flying<br />

stati<strong>on</strong>ary satellites. To develop the complete <strong>on</strong>-board aut<strong>on</strong>omous navigati<strong>on</strong> <strong>and</strong> c<strong>on</strong>trol<br />

<strong>of</strong> the satellites in formati<strong>on</strong> in the presence <strong>of</strong> disturbance. Keeping this goal in mind we<br />

have used HCW equati<strong>on</strong>s to underst<strong>and</strong> the formati<strong>on</strong> dynamics <strong>of</strong> the satellites.We will<br />

compare the various types <strong>of</strong> sensors used for the formati<strong>on</strong>keeping <strong>and</strong> their accuracy<br />

specificati<strong>on</strong>s. While HCW equati<strong>on</strong>s are useful to underst<strong>and</strong> the dynamics <strong>of</strong> the system but<br />

these equati<strong>on</strong>s introduce the uncertainty that is more than the imaging sensor thus making<br />

them un-suitable.<br />

9:50<br />

DESIGN OF AN EARTH-OBSERVATION SATELLITE<br />

CONSTELLATION VIA IMAGE RETURN TIME FIGURE OF MERIT<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-05<br />

Burak Akbulut, Ahmet Özkan, Erhan Topal,<br />

Görkem Oktay, Kağan Ataalp, <strong>and</strong> Erhan Solakoğlu<br />

This paper aims to analyze an optimal c<strong>on</strong>figurati<strong>on</strong> for a satellite c<strong>on</strong>stellati<strong>on</strong> needed for<br />

successful completi<strong>on</strong> <strong>of</strong> an imaging request from a predefined target area. A figure <strong>of</strong> merit


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

is defined for comparis<strong>on</strong> <strong>of</strong> different c<strong>on</strong>stellati<strong>on</strong> c<strong>on</strong>figurati<strong>on</strong>s. Different numbers <strong>of</strong><br />

satellites are analyzed in single <strong>and</strong> multi orbital planes. Preliminary results show that it is<br />

not beneficial to increase number <strong>of</strong> satellites in a plane after a certain limit <strong>and</strong> multi plane<br />

approach does not provide significant improvement to results when a target area within a<br />

communicati<strong>on</strong> c<strong>on</strong>e <strong>of</strong> a single ground stati<strong>on</strong> is c<strong>on</strong>sidered.<br />

C<strong>of</strong>fee-break 10:10-10:30<br />

10:30<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-06<br />

CONSTELLATION ORBITS SELECTION CONSIDERING<br />

THE INTEROPERABILITY BETWEEN DIFFERENT GNSS<br />

Fan Li, Yang Xuer<strong>on</strong>g, Jiang Chao, <strong>and</strong> Wang Zhaokui<br />

The paper is mainly focused <strong>on</strong> the orbits selecti<strong>on</strong> for the COMPASS global c<strong>on</strong>stellati<strong>on</strong>.<br />

Two optimized schemes were proposed, for the interoperability with GLONASS <strong>and</strong> Galileo.<br />

Because <strong>of</strong> the high drifting speed <strong>of</strong> GPS’s orbit planes, it is very difficult to choose a<br />

c<strong>on</strong>stellati<strong>on</strong> c<strong>on</strong>figurati<strong>on</strong> suits for GPS. The altitude 24126km was chosen for the COMPASS<br />

global c<strong>on</strong>stellati<strong>on</strong>, because <strong>of</strong> the high performance, less perturbati<strong>on</strong> influences, <strong>and</strong> so<br />

<strong>on</strong>. The Walker 24/3/2: 51.59°, 24126km c<strong>on</strong>stellati<strong>on</strong>’s performances interoperated with<br />

the GPS, GLONASS <strong>and</strong> Galileo were studied. Great availability improvement was achieved in<br />

35° elevati<strong>on</strong> through the drifting rate design.<br />

10:50<br />

PRELIMINARY RESULTS OF THE VISION BASED RENDEZVOUS<br />

AND FORMATION FLYING EXPERIMENTS<br />

PERFORMED DURING THE FFIORD/PRISMA EXTENDED MISSION<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-07<br />

Michel Delpech, Jean-Claude Berges,<br />

Sophie Djalal, <strong>and</strong> Pierre-Yves Guidotti<br />

The Formati<strong>on</strong> Flying In Orbit Ranging Dem<strong>on</strong>strati<strong>on</strong> experiment (FFIORD) has been<br />

accommodated by CNES <strong>on</strong> PRISMA precursor missi<strong>on</strong>. The paper will recall the most<br />

significant results obtained in 2010/2011 during the FFRF sensor characterizati<strong>on</strong> phase then<br />

the rendezvous / FF experiments based <strong>on</strong> the RF navigati<strong>on</strong> which include in particular<br />

proximity c<strong>on</strong>trol accuracy at the centimetre level. Additi<strong>on</strong>al experiments were run in<br />

October 2011 during the extended missi<strong>on</strong> that involve this time visual sensors (VBS) in the<br />

loop to be used in combinati<strong>on</strong> with the FFRF sensor. An experiment overview will be given<br />

al<strong>on</strong>g with a result presentati<strong>on</strong>.<br />

11:10<br />

INTEGRATED RELATIVE TRANSLATION AND ROTATION<br />

CONTROLOF SPACECRAFT FORMATION<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-08<br />

Iva Mohan Sundara, P<strong>and</strong>iyan Ramalingam,<br />

Debasish Ghose, <strong>and</strong> Seetharama Bhat<br />

Distributi<strong>on</strong> <strong>of</strong> small <strong>space</strong>crafts in formati<strong>on</strong> provides a way to improve the resoluti<strong>on</strong> by<br />

aperture distributi<strong>on</strong>. This requires aut<strong>on</strong>omous c<strong>on</strong>trol <strong>of</strong> relative positi<strong>on</strong> <strong>and</strong> relative<br />

attitude. Present work addresses the formati<strong>on</strong> c<strong>on</strong>trol using a PID c<strong>on</strong>troller to maintain<br />

both relative positi<strong>on</strong> <strong>and</strong> relative attitude. To avoid c<strong>on</strong>tinuous pulsing due to noise, a<br />

dead-b<strong>and</strong> has been provided in the positi<strong>on</strong> loop. PID c<strong>on</strong>trol has been selected to maintain<br />

the formati<strong>on</strong> in presence <strong>of</strong> unmodeled disturbances. Simulati<strong>on</strong>s show that proposed<br />

c<strong>on</strong>troller meets the translati<strong>on</strong>al <strong>and</strong> rotati<strong>on</strong>al relative moti<strong>on</strong>s even in presence <strong>of</strong><br />

disturbances.<br />

11:30<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-09<br />

PERFORMANCE MEASURE BASED TRAJECTORY<br />

OPTIMIZATIONFOR LEO TWIN-SPACECRAFTS<br />

FOR NEAR-EQUATORIAL GROUND-TRACK REQUIREMENTS<br />

Harij<strong>on</strong>o Djojodihardjo<br />

37


FINAL PROGRAM<br />

Parametric <strong>and</strong> optimizati<strong>on</strong> study is carried out to explore the potential <strong>of</strong> <strong>space</strong>craft<br />

formati<strong>on</strong> flying as platform for Near-Earth <strong>and</strong> Near-Equatorial Tropical Resources And<br />

Envir<strong>on</strong>ment M<strong>on</strong>itoring And Disaster Mitigati<strong>on</strong>Missi<strong>on</strong>. The optimizati<strong>on</strong> is based <strong>on</strong><br />

minimizati<strong>on</strong> <strong>of</strong> the corresp<strong>on</strong>ding delta-V budget which represents the energy cost needed<br />

for each maneuver scenarios. The ground track requirements are elaborated in view <strong>of</strong><br />

relevant sensors <strong>and</strong> instruments. Coverage Figure <strong>of</strong> Merit <strong>and</strong> Performance measure for<br />

assessing the benefits <strong>of</strong> relevant ground-track parameters are redefined. Another<br />

optimizati<strong>on</strong> scheme based <strong>on</strong> some defined ground track requirements <strong>and</strong> missi<strong>on</strong><br />

objectives is carried out. Both results are discussed.<br />

11:50<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-10<br />

PRECISION CONTROL SYSTEM FOR INNER-FORMATION<br />

GRAVITY FIELD MEASUREMENT SATELLITE SYSTEM<br />

Junhu Xiang<br />

Inner-formati<strong>on</strong> gravity field measurement satellite system c<strong>on</strong>sists <strong>of</strong> an inner satellite <strong>and</strong><br />

an outer satellite, <strong>and</strong> the inner satellite is shielded from the air drag, solar light pressure<br />

<strong>and</strong> other n<strong>on</strong>-gravitati<strong>on</strong> forces by the cavity <strong>of</strong> outer satellite. The precisi<strong>on</strong> c<strong>on</strong>trol<br />

system has a hybrid c<strong>on</strong>trol architecture including feed forward <strong>and</strong> feedback c<strong>on</strong>trol, <strong>and</strong><br />

base <strong>on</strong> the model predictive c<strong>on</strong>trol method <strong>and</strong> all-propulsi<strong>on</strong> system <strong>of</strong> the cold gas<br />

thruster, which has realized the highly precisi<strong>on</strong> integrated c<strong>on</strong>trol <strong>of</strong> attitude <strong>and</strong> orbit, <strong>and</strong><br />

satisfied the performance requirements <strong>of</strong> high precisi<strong>on</strong> gravity field measurement missi<strong>on</strong><br />

with lower costs <strong>and</strong> technology requirements.<br />

12:10<br />

STUDY OF ON-ORBIT SEPARATION SCHEMES FOR<br />

CONFIGURATION INITIALIZATION OF FRACTIONATED<br />

SPACECRAFT CLUSTER FLYING<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-12-11<br />

Jiang Chao, Yang Xuer<strong>on</strong>g, Wang Zhaokui, <strong>and</strong> Zhang Yulin<br />

Using <strong>on</strong>e Multi-satellite Deployment System to provide each module <strong>on</strong>ce velocity<br />

increment, the fracti<strong>on</strong>ated <strong>space</strong>craft cluster c<strong>on</strong>figurati<strong>on</strong> can be formed without module<br />

maneuver. At first, the dynamics <strong>of</strong> cluster c<strong>on</strong>figurati<strong>on</strong> initializati<strong>on</strong> is analysed, based <strong>on</strong><br />

which the c<strong>on</strong>straints <strong>of</strong> separati<strong>on</strong> initializati<strong>on</strong> schemes design is given. Then, according to<br />

various <strong>of</strong> separati<strong>on</strong> parameters, series <strong>of</strong> separati<strong>on</strong> initializati<strong>on</strong> schemes are designed. At<br />

last, the separati<strong>on</strong> error affect <strong>and</strong> the cluster flying natural evoluti<strong>on</strong> are simulated in the<br />

high precisi<strong>on</strong> formati<strong>on</strong> flying simulati<strong>on</strong> envir<strong>on</strong>ment, <strong>and</strong> the best separati<strong>on</strong> initializati<strong>on</strong><br />

scheme is selected by comparing <strong>of</strong> the simulati<strong>on</strong> results.<br />

Lunch 12:30-14:00<br />

Sessi<strong>on</strong> 13:<br />

Attitude <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol III (Ipanema1)<br />

Chairs: Arun K. MISRA <strong>and</strong> Peter BAINUM<br />

14:00-18:00<br />

14:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-13-02<br />

ATTITUDE CONTROL SOFTWARE SOLUTION<br />

FOR A BIG SOLAR PANEL ON LEO ORBIT<br />

Stefano Rossi<br />

The future <strong>of</strong> the alternative energy is in the <strong>space</strong>: the solar power is <strong>on</strong>e <strong>of</strong> the best<br />

c<strong>and</strong>idates to help human dem<strong>and</strong> <strong>of</strong> energy. In <strong>space</strong>, the capture <strong>of</strong> the solar energy will<br />

have benefits compared to the earth capture. In this paper, a s<strong>of</strong>tware soluti<strong>on</strong> is presented<br />

for a big solar panel attitude c<strong>on</strong>trol. The panel, placed <strong>on</strong> LEO orbit, has been designed<br />

38


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

with reacti<strong>on</strong> wheels putted in the center <strong>of</strong> the structure, simulating maneuvers, impacts,<br />

sun tracking, <strong>and</strong> solar pressure destabilizati<strong>on</strong>. Some sizing studies as panel mass, wheel<br />

masses <strong>and</strong> inertia are presented using this s<strong>of</strong>tware.<br />

14:20<br />

ATTITUDE AND ORBIT CONTROL SYSTEM (AOCS)<br />

DESIGN FOR ASTROSAT<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-13-03<br />

Jasvinder Singh Khoral, Natrajan P, P<strong>and</strong>iyan Ramalingam,<br />

Krishna Mohan Bharadwaj, <strong>and</strong> Parmeswaran K<br />

Astrosat is a satellite meant for Astr<strong>on</strong>omical observati<strong>on</strong>s. Astrosat has five payloads for<br />

multi-wavelength astr<strong>on</strong>omy observati<strong>on</strong>s. The payload c<strong>on</strong>figurati<strong>on</strong> c<strong>on</strong>strains the sun to<br />

lie in a very narrow regi<strong>on</strong> <strong>of</strong> the roll-yaw plane.In this paper we show how the c<strong>on</strong>straints<br />

are exploited <strong>and</strong> a simple rest-rest re-orientati<strong>on</strong> maneuver that avoids bright objects is<br />

implemented via the Euler rotati<strong>on</strong> theorem. As far as is known, the use <strong>of</strong> the Euler<br />

theorem to avoid bright objects has not been reported in the literature <strong>and</strong> hence this is a<br />

novel applicati<strong>on</strong> <strong>of</strong> the same!<br />

14:40<br />

THREE AXES REACTION THRUSTERS ATTITUDE CONTROL<br />

SYSTEM DURING TRAJECTORY MANOEUVRES FOR ESMO<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-13-04<br />

Claudiu-Lucian Prioroc <strong>and</strong> Raluca Mihaela Stefanescu<br />

The attitude inertial c<strong>on</strong>trol system during Lunar orbit inserti<strong>on</strong> for ESMO has been designed.<br />

Four attitude c<strong>on</strong>trol thrusters <strong>and</strong> MEMS rate sensors have been chosen as c<strong>on</strong>trol hardware<br />

<strong>of</strong> the satellite. The system has been designed to minimize the delta-V error. Modelling <strong>of</strong><br />

the <strong>space</strong>craft attitude c<strong>on</strong>trol hardware, sloshing, main engines, attitude dynamics <strong>and</strong><br />

kinematics is presented with simulati<strong>on</strong> results validating the attitude c<strong>on</strong>trol system.<br />

15:00<br />

DYNAMICAL ATTITUDE MODEL FOR GAIA,<br />

SENSORS ON-BOARD AND PERFORMANCES<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-13-05<br />

Daniel Risquez, Floor van Leeuwen, <strong>and</strong> Anth<strong>on</strong>y Brown<br />

The Dynamical Attitude Model (DAM) is a simulati<strong>on</strong> developed to achieve a detailed<br />

underst<strong>and</strong>ing <strong>of</strong> the Gaia <strong>space</strong>craft attitude. This simulati<strong>on</strong> takes into account some<br />

disturbances <strong>and</strong> c<strong>on</strong>siders as well internal hardware comp<strong>on</strong>ents c<strong>on</strong>trolling the satellite<br />

like the AOCS (Attitude <strong>and</strong> Orbit C<strong>on</strong>trol System), sensors (a star tracker <strong>and</strong> an angular rate<br />

sensor attached to the main instrument), <strong>and</strong> micro-Newt<strong>on</strong> thrusters. This c<strong>on</strong>tributi<strong>on</strong><br />

provides a brief descripti<strong>on</strong> <strong>of</strong> DAM <strong>and</strong> an analysis <strong>of</strong> some effects <strong>on</strong> the Gaia's attitude, as<br />

characteristic pr<strong>of</strong>iles <strong>of</strong> micro-meteoroid impacts <strong>and</strong> clanks (disc<strong>on</strong>tinuities in the attitude<br />

while the angular rate is c<strong>on</strong>stant).<br />

15:20<br />

AERODYNAMIC ANGLES-ORIENTED ATTITUDE CONTROL OF A<br />

LOW LIFT-TO-DRAG BICONIC ATMOSPHERIC ENTRY CAPSULE<br />

BASED ON THE EMBEDDED MODEL CONTROL METHODOLOGY<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-13-07 Jose Alej<strong>and</strong>ro Ospina, Enrico Canuto, <strong>and</strong> Marcello Bu<strong>on</strong>ocore<br />

This paper describes the attitude c<strong>on</strong>trol system <strong>of</strong> a low lift-to-drag bic<strong>on</strong>ic atmospheric<br />

entry capsule. The c<strong>on</strong>trol structure derives from the development <strong>of</strong> the attitude dynamics<br />

<strong>and</strong> kinematics written in terms <strong>of</strong> the aerodynamic angles, instead <strong>of</strong> the Euler or<br />

quaterni<strong>on</strong> kinematics. N<strong>on</strong> linear dynamic inversi<strong>on</strong> <strong>and</strong> active disturbance rejecti<strong>on</strong><br />

techniques are used to h<strong>and</strong>le gyroscopic torques, parametric errors <strong>and</strong> to compensate for<br />

the angular variati<strong>on</strong> <strong>of</strong> the translati<strong>on</strong>al velocity. The performance <strong>of</strong> the c<strong>on</strong>trol law is<br />

tested <strong>on</strong> a high-fidelity simulator <strong>and</strong> the results are presented.<br />

39


FINAL PROGRAM<br />

C<strong>of</strong>fee-break 15:40-16:00<br />

16:00<br />

A “TURN-BY-TURN” COMBINED WHEEL-TORQUER ACTUATED<br />

CONTROL SYSTEM FOR SPACE-CAPSULE<br />

RECOVERY EXPERIMENT (SRE)<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-13-08<br />

Harish Joglekar, Nivriti Priyadarshini, P Natarajan,<br />

K Parameswaran, <strong>and</strong> P J Bhat<br />

A combined wheel-magnetic torquer attitude c<strong>on</strong>trol is proposed for Space Capsule Recovery<br />

Project. The objective is two axis attitude c<strong>on</strong>trol using torquers <strong>and</strong> <strong>on</strong>e axis c<strong>on</strong>trol using<br />

wheel <strong>and</strong> wheel momentum unloading using magnetic torquers. The Y axis is c<strong>on</strong>tinuously<br />

c<strong>on</strong>trolled using wheel <strong>and</strong> other two axis <strong>and</strong> wheel momentum are dumped in "turn by<br />

turn" fashi<strong>on</strong>. C<strong>on</strong>trol cycle is divided into three parts <strong>and</strong> torquer choice is based <strong>on</strong> the<br />

maximum magnetic field criteri<strong>on</strong>. At a time a single axis is either c<strong>on</strong>trolled/dumped using<br />

<strong>on</strong>e torquer <strong>on</strong>ly. The advantage is simultaneous c<strong>on</strong>trol <strong>and</strong> dumping <strong>and</strong> useful for coarse<br />

pointing.<br />

16:20<br />

ATTITUDE CONTROL SYSTEM DESIGN<br />

FOR LOW-ORBIT MICRO-SATELLITE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-13-09<br />

Peng Wang, Wei Zheng, <strong>and</strong> Jie Wu<br />

Micro-satellite, which is lightweight, small, short development cycle <strong>and</strong> low cost, has<br />

become <strong>on</strong>e <strong>of</strong> the hottest fields <strong>of</strong> aero<strong>space</strong> research. Aerodynamic torque is the primary<br />

envir<strong>on</strong>mental torque for low-orbit satellite. In this paper, a new scheme <strong>of</strong> attitude c<strong>on</strong>trol<br />

with active magnetic torque <strong>and</strong> aerodynamic stabilizati<strong>on</strong> torque is proposed. The c<strong>on</strong>trol<br />

law B_dot <strong>and</strong> sliding mode c<strong>on</strong>trol method are used in detumbling <strong>and</strong> attitude acquisiti<strong>on</strong>,<br />

respectively. The index approach law <strong>and</strong> saturati<strong>on</strong> functi<strong>on</strong> are used in designing the<br />

sliding mode attitude c<strong>on</strong>trol system. Simulati<strong>on</strong> studies dem<strong>on</strong>strate that the proposed<br />

attitude c<strong>on</strong>trol system is feasible for low-orbit micro-satellite.<br />

16:40<br />

DESIGN OF THE ACTIVE ATTITUDE DETERMINATION<br />

AND CONTROL SYSTEM FOR E-ST@R CUBESAT<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-13-10<br />

Fabrizio Stesina <strong>and</strong> Sabrina Corpino<br />

One <strong>of</strong> the key points to increase the number <strong>of</strong> applicati<strong>on</strong>s for pico/nano-satellite is to<br />

enhance their attitude c<strong>on</strong>trol system capabilities. The paper presents the results <strong>of</strong> the<br />

design, development, <strong>and</strong> verificati<strong>on</strong> campaign <strong>of</strong> the A-ADCS (Active - Attitude<br />

Determinati<strong>on</strong> <strong>and</strong> C<strong>on</strong>trol System) <strong>of</strong> the e-st@r cubesat developed at Politecnico di Torino.<br />

In particular, the results obtained with numerical <strong>and</strong> Hardware-In-The-Loop (HITL)<br />

simulati<strong>on</strong>s are discussed <strong>and</strong> compared. The analysis shows that the results <strong>of</strong> the HITL<br />

simulati<strong>on</strong>s are c<strong>on</strong>sistent with those coming from numerical simulati<strong>on</strong>s. The complete<br />

validati<strong>on</strong> <strong>of</strong> the simulator will be possible when orbital data are available.<br />

17:00<br />

ATTITUDE DETERMINATION AND CONTROL OF PRATHAM,<br />

INDIAN INSTITUTE OF TECHNOLOGY BOMBAY’S<br />

FIRST STUDENT SATELLITE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-13-11 Sanyam Suhas Mulay, Jaideep Joshi, Yashovardhan Sushil Chati,<br />

Vaibhav Vasant Unhelkar, Saptarshi B<strong>and</strong>yopadhyay,<br />

Shashank Tamaskar, Mallesh Bommanahal,<br />

Chaitanya Talnikar, <strong>and</strong> Avnish Kumar<br />

This paper describes the attitude determinati<strong>on</strong> <strong>and</strong> c<strong>on</strong>trol <strong>of</strong> 'Pratham', IIT Bombay's first<br />

40


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

student satellite. The satellite being built is a 26x26x26 cm cube <strong>and</strong> weighs nearly 10 kg.<br />

The attitude c<strong>on</strong>trol requirements <strong>on</strong> the satellite are pointing accuracy <strong>of</strong> 10 deg. The<br />

sensors <strong>on</strong> board the satellite are GPS, magnetometer <strong>and</strong> sunsensors. Magnetorquers are<br />

used as actuators. All simulati<strong>on</strong>s are carried out using Matlab <strong>and</strong> Simulink. The paper<br />

discusses the c<strong>on</strong>trol strategies used by Pratham during the detumbling <strong>and</strong> nominal modes.<br />

Robustness is checked using M<strong>on</strong>te Carlo simulati<strong>on</strong>s. Results are successfully validated with<br />

real-time in-loop simulati<strong>on</strong>s.<br />

Sessi<strong>on</strong> 14:<br />

Optimal C<strong>on</strong>trol in Space Flight <strong>Dynamics</strong> (Ipanema II)<br />

Chairs: Bernd DACHWALD <strong>and</strong> Mª do Rosário de PINHO<br />

14:00-18:00<br />

14:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-14-01<br />

A NEW NUMERICAL APPROACH FOR SOLVING OPTIMAL INNER<br />

CONTROL OF PARABOLIC PDE PROBLEM<br />

Mahmoud Mahmoudi<br />

In this paper, we develop a computati<strong>on</strong>al method for solving an optimal c<strong>on</strong>trol problem,<br />

which is governed by a parabolic partial differential equati<strong>on</strong>s (PDEs) . Our approach is to<br />

transform the PDE problem to high dimensi<strong>on</strong> n<strong>on</strong>-homogeneous ordinary differential<br />

equati<strong>on</strong> system (ODES). In follow, the homogeneous part <strong>of</strong> ODES is solved using semigroup<br />

theory. In the next step, the c<strong>on</strong>vergence <strong>of</strong> this approach could be verified by properties <strong>of</strong><br />

<strong>on</strong>e-parameter semigroup theory. In the rest <strong>of</strong> paper, the optimal c<strong>on</strong>trol problem is solved<br />

by utilizing the soluti<strong>on</strong> <strong>of</strong> homogeneous part. Finally <strong>on</strong>e numerical example is given.<br />

14:20<br />

DYNAMIC CONTROL AND VIBRATION SUPPRESSION<br />

OF THE RIGID-FLEXIBLE COUPLING SPACE<br />

ROBOT DURING CAPTURE TARGET<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-14-02<br />

Qiu-Huang D<strong>on</strong>g <strong>and</strong> Li Chen<br />

The main issue <strong>of</strong> this paper is about the <strong>space</strong> robot capture operati<strong>on</strong>. The stabilizati<strong>on</strong><br />

c<strong>on</strong>trol <strong>and</strong> vibrati<strong>on</strong> suppressi<strong>on</strong> c<strong>on</strong>trol <strong>of</strong> the rigid-flexible coupling <strong>space</strong> manipulator<br />

during capture target is presented in this paper. The dynamic model <strong>of</strong> the <strong>space</strong> robot <strong>and</strong><br />

target combined system is established base <strong>on</strong> the mechanics theory. The feedback c<strong>on</strong>trol is<br />

employed for stabilizati<strong>on</strong> <strong>of</strong> the combined, <strong>and</strong> the Linear Quadrics optimal c<strong>on</strong>trol is<br />

employed suppress the vibrati<strong>on</strong> <strong>of</strong> the flexible link, the above c<strong>on</strong>trol methods are<br />

employed at the same time. The computer simulati<strong>on</strong> result verify the feasibility <strong>of</strong> the<br />

above c<strong>on</strong>trol method.<br />

14:40<br />

A METHOD TO SOLVE NONLINEAR OPTIMAL<br />

CONTROL PROBLEMS IN ASTRODYNAMICS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-14-03<br />

Francesco Topputo <strong>and</strong> Franco Bernelli-Zazzera<br />

A method to solve n<strong>on</strong>linear optimal c<strong>on</strong>trol problems is proposed in this work. The method<br />

implements an approximating sequence <strong>of</strong> time-varying linear quadratic regulators that<br />

c<strong>on</strong>verge to the soluti<strong>on</strong> <strong>of</strong> the original, n<strong>on</strong>linear problem. Each sub-problem is solved by<br />

manipulating the state transiti<strong>on</strong> matrix <strong>of</strong> the state-costate dynamics. Hard, s<strong>of</strong>t, <strong>and</strong><br />

mixed boundary c<strong>on</strong>diti<strong>on</strong>s are h<strong>and</strong>led. The presented method is a modified versi<strong>on</strong> <strong>of</strong> an<br />

algorithm known as “approximating sequence <strong>of</strong> Riccati equati<strong>on</strong>s”. Three sample problems<br />

(low-thrust orbital transfer, formati<strong>on</strong> flying c<strong>on</strong>trol, <strong>and</strong> low-thrust stati<strong>on</strong> keeping) are<br />

treated to show the effectiveness <strong>of</strong> the method, whose limitati<strong>on</strong>s are also discussed.<br />

41


FINAL PROGRAM<br />

15:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-14-04<br />

TIME-OPTIMAL ATTITUDE MANEUVER OF A<br />

SPACECRAFT WITH INERTIAL ACTUATORS<br />

Mikhail Levskii<br />

C<strong>on</strong>crete problem <strong>of</strong> <strong>space</strong>craft's terminal reorientati<strong>on</strong> is solved. The case when a change <strong>of</strong><br />

<strong>space</strong>craft’s angular positi<strong>on</strong> is d<strong>on</strong>e with use <strong>of</strong> inertial executive devices is c<strong>on</strong>sidered.<br />

Interesting variant, when <strong>space</strong>craft angular momentum is limited <strong>and</strong> turn time is<br />

minimized, is researched. The c<strong>on</strong>diti<strong>on</strong>s <strong>of</strong> optimality is written in analytical form (using<br />

P<strong>on</strong>tryagin’s maximum principle <strong>and</strong> quaterni<strong>on</strong> method), <strong>and</strong> the properties <strong>of</strong> optimal<br />

spatial turn are studied. Key relati<strong>on</strong>s <strong>and</strong> equati<strong>on</strong>s for optimal moti<strong>on</strong> which specify the<br />

variati<strong>on</strong> <strong>of</strong> rotati<strong>on</strong> parameters are given. Results <strong>of</strong> mathematical simulati<strong>on</strong> <strong>of</strong> <strong>space</strong>craft<br />

moti<strong>on</strong> dynamics under the designed c<strong>on</strong>trol method are presented.<br />

15:20<br />

FUEL OPTIMAL TRAJECTORY DESIGN USING SOLAR-ELECTRIC-<br />

PROPULSION UNDER POWER CONSTRAINTS<br />

AND PERFORMANCE DEGRADATION<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-14-05<br />

Peng Zhang, Junfeng Li, Hexi Baoyin, <strong>and</strong> Yang Chen<br />

In this paper the fuel optimal trajectories using solar-electric-propulsi<strong>on</strong> is c<strong>on</strong>sidered with<br />

power c<strong>on</strong>straints <strong>and</strong> performance degradati<strong>on</strong>. The problem is solved applying indirect<br />

optimizati<strong>on</strong> method derived from the calculus <strong>of</strong> variati<strong>on</strong>s <strong>and</strong> P<strong>on</strong>tryagin’s maximum<br />

principle. For solar array power degradati<strong>on</strong> with time, three different models are<br />

hypothesized in the analysis for three typical missi<strong>on</strong>s, which are linear, positive <strong>and</strong><br />

negative exp<strong>on</strong>ential degradati<strong>on</strong>s respectively. The significance is obvious c<strong>on</strong>sidering the<br />

comprehensive power model. It is ec<strong>on</strong>omical compared with the missi<strong>on</strong> adding an rough<br />

degradati<strong>on</strong> margin to power budget, <strong>and</strong> increases the reliability compared with those<br />

c<strong>on</strong>sidering no power degradati<strong>on</strong> with time.<br />

C<strong>of</strong>fee-break 15:40-16:00<br />

16:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-14-06<br />

POWER-LIMITED SOLAR ELECTRIC PROPULSION<br />

TRAJECTORY OPTIMIZATION<br />

Yang Chen, Hexi Baoyin, Junfeng Li, <strong>and</strong> Fanghua Jiang<br />

The Solar Electric Propulsi<strong>on</strong> trajectory optimizati<strong>on</strong> with power c<strong>on</strong>straints is investigated.<br />

The fuel-optimal c<strong>on</strong>trol problem is solved via an indirect method. The optimal c<strong>on</strong>trol laws<br />

<strong>of</strong> the thruster input power <strong>and</strong> the thrust directi<strong>on</strong> are derived. The solar array power<br />

varies with the heliocentric distance, <strong>and</strong> accordingly the Euler-Lagrange equati<strong>on</strong>s hold two<br />

different forms. Therefore, the detecti<strong>on</strong> <strong>of</strong> heliocentric distance with fixed step integrati<strong>on</strong><br />

is presented to ensure accuracy. Moreover, The normalizati<strong>on</strong> <strong>of</strong> initial costates <strong>and</strong><br />

switching functi<strong>on</strong> detecti<strong>on</strong> are employed to improve computati<strong>on</strong>al efficiency <strong>and</strong><br />

accuracy. The trajectory towards Apophis is discussed to substantiate the efficiency <strong>of</strong> these<br />

techniques.<br />

16:20<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-14-07<br />

ANALYSIS OF INTERPLANETARY SOLAR SAIL TRAJECTORIES<br />

WITH ATTITUDE DYNAMICS<br />

Andreas Borggräfe, Andreas Ohndorf, <strong>and</strong> Bernd Dachwald<br />

This study presents a new approach to the problem <strong>of</strong> optimal c<strong>on</strong>trol <strong>of</strong> solar sails for lowthrust<br />

trajectory optimizati<strong>on</strong>. The objective was to find the required c<strong>on</strong>trol torque<br />

magnitudes in order to steer a solar sail in interplanetary <strong>space</strong>. A new steering strategy,<br />

42


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

c<strong>on</strong>trolling the sail with generic torques applied about the <strong>space</strong>craft body axes, was<br />

integrated into the existing low-thrust trajectory optimizati<strong>on</strong> s<strong>of</strong>tware InTrance. A three<br />

rotati<strong>on</strong>al degree-<strong>of</strong>-freedom rigid-body attitude dynamics model was implemented to<br />

represent the solar sail in <strong>space</strong>. The resulting c<strong>on</strong>trol torques were investigated, as they<br />

pose primary requirements to a real <strong>on</strong>-board attitude c<strong>on</strong>trol system.<br />

16:40<br />

AUTOMATIC CONTROL SYSTEMS FOR ESMO SATELLITE<br />

USING LQR CONTROL STRATEGY<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-14-08<br />

Mihaela Raluca Stefanescu, Claudiu Lucian Prioroc,<br />

<strong>and</strong> C<strong>on</strong>stantin Burdusel<br />

This paper studies the attitude c<strong>on</strong>trol <strong>of</strong> ESMO (European Student Mo<strong>on</strong> Orbiter) satellite.<br />

ESMO is a European project developed by ESA which has the purpose <strong>of</strong> initializing young<br />

students with ESA terminology, team work <strong>and</strong> not least with <strong>space</strong> research. As well aspects<br />

<strong>of</strong> attitude representati<strong>on</strong> <strong>and</strong> kinematics <strong>and</strong> dynamics in terms <strong>of</strong> quaterni<strong>on</strong>s <strong>and</strong> angular<br />

rates will be finding in this paper. The c<strong>on</strong>trol system is based <strong>on</strong> the Linear Quadratic<br />

Regulator (LQR) theory. This study presents a new approach to the problem <strong>of</strong> optimal<br />

c<strong>on</strong>trol <strong>of</strong> solar sails for low-thrust trajectory optimizati<strong>on</strong>.<br />

17:00<br />

HIGH ORDER OPTIMAL FEEDBACK CONTROL OF LOW-THRUST<br />

ORBITAL TRANSFERS WITH SATURATING ACTUATORS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-14-09<br />

Pierluigi Di Lizia, Roberto Armellin,<br />

Aless<strong>and</strong>ro Morselli, <strong>and</strong> Franco Bernelli Zazzera<br />

A novel n<strong>on</strong>linear optimal feedback c<strong>on</strong>trol algorithm for low-thrust <strong>space</strong> transfers is<br />

presented. A minimum fuel mass optimal c<strong>on</strong>trol problem is studied, including c<strong>on</strong>trol<br />

saturati<strong>on</strong> in the problem formulati<strong>on</strong>. Following the reducti<strong>on</strong> <strong>of</strong> the optimal c<strong>on</strong>trol<br />

problem to a two-point boundary value problem, differential algebraic techniques are<br />

applied to obtain a high order expansi<strong>on</strong> <strong>of</strong> the optimal thrust directi<strong>on</strong> <strong>and</strong> switching times<br />

with respect to either initial or terminal c<strong>on</strong>diti<strong>on</strong>s. The computati<strong>on</strong> <strong>of</strong> optimal feedback<br />

c<strong>on</strong>trol laws with saturating actuators in relatively large neighbourhoods <strong>of</strong> the reference<br />

trajectory is then reduced to the fast evaluati<strong>on</strong> <strong>of</strong> high order polynomials.<br />

17:20<br />

PONTRYAGIN'S MAXIMUM PRINCIPLE FOR IMPULSIVE CONTROL<br />

PROBLEMS WITH MIXED CONSTRAINTS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-14-10<br />

Aram Arutyunov, Dmitry Karamzin, <strong>and</strong> Fern<strong>and</strong>o Pereira<br />

Necessary c<strong>on</strong>diti<strong>on</strong>s in the form <strong>of</strong> P<strong>on</strong>tryagin's Maximum Principle are derived for impulsive<br />

c<strong>on</strong>trol problems with mixed c<strong>on</strong>straints. A new mathematical c<strong>on</strong>cept <strong>of</strong> impulsive c<strong>on</strong>trol is<br />

introduced as a requirement for the c<strong>on</strong>sistency <strong>of</strong> the impulsive framework. Additi<strong>on</strong>ally,<br />

this c<strong>on</strong>trol c<strong>on</strong>cept enables the incorporati<strong>on</strong> <strong>of</strong> the engineering needs to c<strong>on</strong>sider<br />

c<strong>on</strong>venti<strong>on</strong>al c<strong>on</strong>trol acti<strong>on</strong> while the impulse develops. Ekel<strong>and</strong>'s Variati<strong>on</strong>al Principle <strong>and</strong><br />

Lebesgue's disc<strong>on</strong>tinuous time variable change are used in the pro<strong>of</strong>. The article also<br />

c<strong>on</strong>tains an example showing how such impulsive c<strong>on</strong>trols could be relevant in actual<br />

applicati<strong>on</strong>s.<br />

Sessi<strong>on</strong> 15:<br />

Spacecraft Guidance, Navigati<strong>on</strong>, <strong>and</strong> C<strong>on</strong>trol III (Biombo)<br />

Chair: Mª. Margarida FERREIRA<br />

14:00-18:00<br />

14:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-15-01<br />

WEAK EXPONENTIAL STABILITY VIA AVERAGING<br />

METHOD AND APPLICATIONS<br />

Ricardo Gama <strong>and</strong> Georgi Smirnov<br />

43


FINAL PROGRAM<br />

The averaging method is <strong>on</strong>e <strong>of</strong> the most powerful methods used to analyse differential<br />

equati<strong>on</strong>s appearing in the study <strong>of</strong> n<strong>on</strong>linear problems. The Averaging method has also been<br />

successfully applied in c<strong>on</strong>trol problems. In this work we propose a new approach to<br />

c<strong>on</strong>clude exp<strong>on</strong>ential stability <strong>of</strong> time varying systems applying averaging method. We also<br />

show that this result can be applied to differential inclusi<strong>on</strong>s generated by c<strong>on</strong>trol systems.<br />

Some practical applicati<strong>on</strong>s examples <strong>of</strong> the presented results will be also presented,<br />

illustrating it's applicability for solving <strong>space</strong> dynamics problems.<br />

14:20<br />

GUIDANCE, NAVIGATION AND CONTROL<br />

FOR PROPULSIVE SOFT LANDING ON MARS<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-15-02<br />

Andres Guillermo Molano, Enrico Canuto,<br />

<strong>and</strong> Ferdin<strong>and</strong>o Cometto<br />

This paper describes the Guidance, Navigati<strong>on</strong> <strong>and</strong> C<strong>on</strong>trol (GNC) for the final propulsive s<strong>of</strong>t<br />

l<strong>and</strong>ing phase <strong>of</strong> the entry, descent <strong>and</strong> l<strong>and</strong>ing <strong>of</strong> an interplanetary l<strong>and</strong>er <strong>on</strong> Mars. The s<strong>of</strong>t<br />

l<strong>and</strong>ing GNC uses <strong>and</strong> extended model <strong>of</strong> the vehicle attitude <strong>and</strong> horiz<strong>on</strong>tal moti<strong>on</strong> to build<br />

a full state (attitude <strong>and</strong> translati<strong>on</strong>) reference trajectory from the current state to the<br />

desired (possibly varying) l<strong>and</strong>ing site. Once the reference trajectory is computed, a tracking<br />

algorithm estimates <strong>and</strong> compensates the external disturbances in real time. The principles<br />

<strong>of</strong> the algorithms are provided together with the outcome <strong>of</strong> realistic M<strong>on</strong>tecarlo<br />

simulati<strong>on</strong>s.<br />

14:40<br />

DEVELOPMENT AND VALIDATION IN REAL TIME ENVIRONMENT<br />

OF A GNC SYSTEM FOR PLANETARY RV<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-15-03<br />

Juan C. Bastante, José Vasc<strong>on</strong>celos, João M<strong>on</strong>teiro,<br />

Gabriele Bellei, Andrea Mafficini, João Dinis, <strong>and</strong> Sohrab Salehi<br />

The proposed paper shows the development, up to TRL5 (‘Comp<strong>on</strong>ent <strong>and</strong>/or breadboard<br />

validati<strong>on</strong> in relevant envir<strong>on</strong>ment), <strong>of</strong> a GNC system for RV relying mainly <strong>on</strong> camera<br />

measurements. The laboratory envir<strong>on</strong>ment used for this TRL upgrade, a complete Real Time<br />

Test Bench with Hardware in the Loop, is installed in the Laboratory <strong>of</strong> Optics <strong>and</strong> Laser <strong>of</strong><br />

the Faculty <strong>of</strong> Sciences <strong>of</strong> the University <strong>of</strong> Lisb<strong>on</strong>. The main c<strong>on</strong>clusi<strong>on</strong>s derived from the<br />

test campaign executed last summer are presented in full detail<br />

15:00<br />

CONTROL SYSTEM DESIGN OF KOREA<br />

LUNAR LANDER DEMONSTRATOR<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-15-04<br />

D<strong>on</strong>g-Young Rew, Sang-Wook Kang,<br />

Gwanghyeok Ju, <strong>and</strong> Sang-Ryool Lee<br />

A series <strong>of</strong> lunar explorati<strong>on</strong> program c<strong>on</strong>sists <strong>of</strong> lunar orbiter <strong>and</strong> lunar l<strong>and</strong>er missi<strong>on</strong>s are<br />

planned in Korea during 2020s. Korea Aero<strong>space</strong> Research Institute (KARI) is performing<br />

c<strong>on</strong>ceptual design phase researches for the lunar explorers. A lunar l<strong>and</strong>er which will be used<br />

for dem<strong>on</strong>strating lunar l<strong>and</strong>ing technologies <strong>and</strong> will be used for testbed for new technology<br />

is being developed. In this paper, design c<strong>on</strong>cept <strong>of</strong> lunar l<strong>and</strong>er dem<strong>on</strong>strator is introduced.<br />

Trade-<strong>of</strong>f details in c<strong>on</strong>figuring thrusters for descending <strong>and</strong> attitude c<strong>on</strong>trol are discussed.<br />

Guidance <strong>and</strong> c<strong>on</strong>trol logic for ascending, hovering <strong>and</strong> horiz<strong>on</strong>tally moving, descending, s<strong>of</strong>t<br />

l<strong>and</strong>ing are presented with simulati<strong>on</strong> results.<br />

15:20<br />

PAYLOAD MAXIMIZATION OF LTGL WITH<br />

NORMAL FORCE DISTURBANCE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-15-05<br />

Rock Jeng-Shing Chern <strong>and</strong> Chie-Ming Huang<br />

This paper presents the research in maximizing the payload <strong>of</strong> the linear-tangent guidance<br />

law (LTGL) under the normal force disturbance by using the parameter optimizati<strong>on</strong> method.<br />

44


1 ST <str<strong>on</strong>g>IAA</str<strong>on</strong>g> <str<strong>on</strong>g>C<strong>on</strong>ference</str<strong>on</strong>g> <strong>on</strong> <strong>Dynamics</strong> <strong>and</strong> C<strong>on</strong>trol <strong>of</strong> Space Systems – DyCoSS’2012<br />

It is intended to be developed for the Taiwan small launch vehicle. A three-stage launch<br />

vehicle is c<strong>on</strong>sidered. It is capable <strong>of</strong> inserting a 1,000 kg satellite into a 647 km altitude<br />

circular orbit at the nominal c<strong>on</strong>diti<strong>on</strong>. The study is performed for the payload maximizati<strong>on</strong><br />

<strong>of</strong> the LTGL by following the parameter optimizati<strong>on</strong> method with the normal force<br />

disturbance included. Precise orbit inserti<strong>on</strong> with payload maximized under nornal force<br />

distrubance can be fulfilled.<br />

C<strong>of</strong>fee-break 15:40-16:00<br />

16:00<br />

NONLINEAR HIERARCHY-STRUCTURED PREDICTIVE CONTROLLER<br />

DESIGN FOR REENTRY VEHICLE<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-15-06<br />

Peng Wang, Luhua Liu, <strong>and</strong> Jie Wu<br />

This paper presents the research in maximizing the payload <strong>of</strong> the linear-tangent guidance<br />

law (LTGL) under the normal force disturbance by using the parameter optimizati<strong>on</strong> method.<br />

It is intended to be developed for the Taiwan small launch vehicle. A three-stage launch<br />

vehicle is c<strong>on</strong>sidered. It is capable <strong>of</strong> inserting a 1,000 kg satellite into a 647 km altitude<br />

circular orbit at the nominal c<strong>on</strong>diti<strong>on</strong>. The study is performed for the payload maximizati<strong>on</strong><br />

<strong>of</strong> the LTGL by following the parameter optimizati<strong>on</strong> method with the normal force<br />

disturbance included. Precise orbit inserti<strong>on</strong> with payload maximized under nornal force<br />

distrubance can be fulfilled.<br />

16:20<br />

IMPROVING NAVIGATION SYSTEM OF A LAUNCHER THROUGH<br />

THE USE OF ON-BOARD AUTONOMOUS STATE ESTIMATION<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-15-07<br />

Sim<strong>on</strong>e Battistini<br />

Traditi<strong>on</strong>al navigati<strong>on</strong> systems <strong>of</strong> launch vehicles are mainly based <strong>on</strong> inertial navigati<strong>on</strong>,<br />

referring to inertial measurements by an IMU. This c<strong>on</strong>siderably affects the accuracy <strong>of</strong> state<br />

estimati<strong>on</strong> <strong>and</strong> it has also relevant implicati<strong>on</strong>s <strong>on</strong> costs. The idea for improving modern<br />

systems is to rely also <strong>on</strong> external measurements, such as GPS. This implies to have an<br />

accurate algorithm for state estimati<strong>on</strong>, which optimizes the fusi<strong>on</strong> between different<br />

measurements. Unscented Kalman Filter (UKF) is a very interesting tool for for n<strong>on</strong> linear<br />

state estimati<strong>on</strong>. In this work the implementati<strong>on</strong> <strong>of</strong> this algorithm applied to the case <strong>of</strong> a<br />

rocket is presented.<br />

16:40<br />

DRAG DERIVED ALTITUDE FOR IMPROVED NAVIGATION<br />

ACCURACY IN MARS ENTRY DESCENT AND LANDING SYSTEM<br />

Emanuele Di Sotto, João Branco, Luis Guerreiro,<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-15-08<br />

Nuno Paulino, <strong>and</strong> Jean François Hamel<br />

Precise <strong>on</strong>-board navigati<strong>on</strong> accuracy is a key issue for Mars Entry Descend <strong>and</strong> L<strong>and</strong>ing<br />

Systems. During the entry phase, a probe can count <strong>on</strong>ly <strong>on</strong> the accuracy <strong>of</strong> a proper Inertial<br />

Navigati<strong>on</strong> System, whose performances are limited by: sensors accuracy, initializati<strong>on</strong> at<br />

Mars Entry Interface, platform alignment, instability <strong>of</strong> vertical channel. The vertical<br />

channel stabilizati<strong>on</strong> is particular important <strong>and</strong> drives the altitude navigati<strong>on</strong> accuracy up<br />

to the main parachute deployment. This paper shows how an <strong>on</strong> board stored aerodynamics<br />

database, al<strong>on</strong>g with an estimati<strong>on</strong> <strong>of</strong> the Mars density pr<strong>of</strong>ile, allow stabilizing the vertical<br />

channel through the Drag Derived Altitude Technique.<br />

17:00<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-15-09<br />

GUIDANCE AND CONTROL FOR THE ATMOSPHERIC GUIDED<br />

ENTRY OF LOW LIFT-TO-DRAG ENTRY VEHICLE BASED<br />

ON THE EMBEDDED MODEL CONTROL<br />

Jose Alej<strong>and</strong>ro Ospina, Enrico Canuto, <strong>and</strong> Bu<strong>on</strong>ocore Marcello<br />

45


FINAL PROGRAM<br />

The translati<strong>on</strong>al c<strong>on</strong>trol law <strong>of</strong> a bic<strong>on</strong>ic atmospheric entry capsule using the bank angle as<br />

the comm<strong>and</strong> are described. The algorithm is separated into a path-planning <strong>and</strong> a<br />

reference-path-tracking algorithm. The path-planning algorithm computes the entry<br />

trajectory starting from the navigated state at the entry point <strong>and</strong> reaching the desired<br />

parachute deployment point. The atmospheric <strong>and</strong> aerodynamic dispersi<strong>on</strong> are compensated<br />

in real-time using the Embedded Model Architecture in which external disturbances are<br />

estimated <strong>and</strong> compensated in real time. The main c<strong>on</strong>cepts for both algorithms are<br />

presented <strong>and</strong> the results <strong>of</strong> a realistic M<strong>on</strong>tecarlo simulati<strong>on</strong> campaign are provided.<br />

17:20<br />

A NEW REENTRY TRAJECTORY DESIGN APPROACH FOR LIFT-<br />

CONTROL FLIGHT VEHICLE BASED ON CRUISING<br />

PARAMETERS DESIGN CONCEPT<br />

<str<strong>on</strong>g>IAA</str<strong>on</strong>g>-AAS-DyCoSS1-15-10<br />

Zhengchun He, Fengqi Zheng, Weiqi Qian, <strong>and</strong> Kaifeng He<br />

In this paper, a new trajectory design approach for lift-c<strong>on</strong>trol reentry flight vehicle based<br />

<strong>on</strong> cruising parameters design c<strong>on</strong>cept is proposed. The cruising parameter could be<br />

aerodynamic overload, dynamic pressure, or aeroheating rate at stagnati<strong>on</strong> point. For a high<br />

speed reentry flight vehicle, based <strong>on</strong> this trajectory design approach, it could firstly cruise<br />

at an appropriate aeroheating rate, then at an appropriate aerodynamic overload, <strong>and</strong> finally<br />

at an appropriate dynamic pressure. As an example, the entry trajectories designed for a<br />

certain lift-c<strong>on</strong>trol reentry vehicle based <strong>on</strong> the new approach are presented in this paper,<br />

too.<br />

46

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