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the advanced concept of small satellite integrated navigation system ...

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All <strong>the</strong> obtained simulation results have been<br />

processed using Monte-Carlo technique.<br />

Below one can see dependencies, which characterize<br />

influence <strong>of</strong> antenna <strong>system</strong> base length, observation<br />

conditions, GLONASS and GPS constellation<br />

RMS values <strong>of</strong> Euler angles, deg.<br />

1.00<br />

0.90<br />

0.80<br />

0.70<br />

0.60<br />

0.50<br />

0.40<br />

0.30<br />

0.20<br />

0.10<br />

0.00<br />

1 2 3 4<br />

Antenna base length, m.<br />

Fig. 5 Incomplete GLONASS+GPS<br />

RMS values <strong>of</strong> Euler angles, deg.<br />

0.90<br />

0.80<br />

0.70<br />

0.60<br />

0.50<br />

0.40<br />

0.30<br />

0.20<br />

0.10<br />

0.00<br />

Incomplete GLONASS + GPS;<br />

r.m.s value<br />

<strong>of</strong> sys. error is 0.005 m.<br />

completeness and <strong>system</strong>atic errors level on <strong>the</strong><br />

accuracy <strong>of</strong> <strong>the</strong> TUD <strong>satellite</strong> attitude determination.<br />

Main attention was paid to <strong>the</strong> influence <strong>of</strong> <strong>the</strong><br />

antenna <strong>system</strong> base length. These results are<br />

demonstrated in Fig. 4 – 8. Each symbol on <strong>the</strong>se<br />

figures corresponds to 30 samples <strong>of</strong> Monte-Carlo<br />

simulation. The magnitude <strong>of</strong> r.m.s. attitude for any<br />

fixed base length depends also on <strong>the</strong> observation<br />

condition and magnitude <strong>of</strong> <strong>system</strong>atic error, which is<br />

fixed and is equal to 0.005m.<br />

Pitch<br />

1 2 3 4 5<br />

Antenna base length, m.<br />

Fig. 6 Complete GLONASS+GPS<br />

Yaw<br />

Roll<br />

Complete GLONASS + GPS;<br />

r.m.s value<br />

<strong>of</strong> sys. error is 0.005 m.<br />

Pitch<br />

Yaw<br />

Roll<br />

5<br />

RMS values <strong>of</strong> Euler angles, deg.<br />

2.00<br />

1.90<br />

1.80<br />

1.70<br />

1.60<br />

1.50<br />

1.40<br />

1.30<br />

1.20<br />

1.10<br />

1.00<br />

0.90<br />

0.80<br />

0.70<br />

0.60<br />

0.50<br />

0.40<br />

0.30<br />

0.20<br />

0.10<br />

0.00<br />

Complete GLONASS;<br />

r.m.s value<br />

<strong>of</strong> sys. error is 0.005 m.<br />

Pitch<br />

1 2 3 4 5<br />

Antenna base length, m.<br />

Fig. 7 Complete GLONASS<br />

RMS values <strong>of</strong> Euler angles, deg.<br />

5.00<br />

4.50<br />

4.00<br />

3.50<br />

3.00<br />

2.50<br />

2.00<br />

1.50<br />

1.00<br />

0.50<br />

0.00<br />

1 2 3 4<br />

Antenna base length, m.<br />

Fig. 8 Incomplete GLONASS<br />

RMS values <strong>of</strong> Euler angles, deg.<br />

1.00<br />

0.90<br />

0.80<br />

0.70<br />

0.60<br />

0.50<br />

0.40<br />

0.30<br />

0.20<br />

0.10<br />

0.00<br />

Fig. 9 GPS only<br />

Yaw<br />

Roll<br />

Incomplete GLONASS;<br />

r.m.s value<br />

<strong>of</strong> sys. error is 0.005 m.<br />

Pitch<br />

1 2 3 4 5<br />

Antenna base length, m.<br />

Yaw<br />

Roll<br />

GPS;<br />

r.m.s value<br />

<strong>of</strong> sys. error is 0.005 m.<br />

Pitch<br />

Yaw<br />

Roll<br />

5

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