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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 />
2
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 />
4
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 />
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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 />
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 />
8
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