MARS GRAVITY CAPTURE DYNAMIC MODEL AND ERROR ANALYSIS

Fang Baodong; Wu Meiping; Zhang Wei

doi:10.6052/0459-1879-14-327

Volume 47 Issue 1

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Chinese Journal of Theoretical and Applied Mechanics > 2015 > 47(1): 15-23. > DOI: 10.6052/0459-1879-14-327 CSTR: 32045.14.0459-1879-14-327

Fang Baodong, Wu Meiping, Zhang Wei. MARS GRAVITY CAPTURE DYNAMIC MODEL AND ERROR ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(1): 15-23. DOI: 10.6052/0459-1879-14-327

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MARS GRAVITY CAPTURE DYNAMIC MODEL AND ERROR ANALYSIS

1.
National University of Defense Technology, Changsha 410073
2. Shanghai Institute of Satellite Engineering, Shanghai 200240, China
3. Shanghai Key Laboratory of Deep Space Exploration Technology, Shanghai 200240, China

Funds: The project was supported by the the National Basic Research Program of China (2014CB744200) and Shanghai Key Laboratory of Deep Space Exploration Technology (13dz2260100).

Received Date: October 22, 2014
Revised Date: November 09, 2014

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Abstract

Abstract

Mars orbit capture is a one and only opportunity for Mars probes and the key factor to determine whether the mission is successful. Starting with the constrained three-body problem, equations for calculating the Mars gravity sphere, influence sphere and Hill sphere are derived. Their property and applicability are discussed. Based on the definition and physical significance of influence sphere, an engineering definition of capture phase is proposed. The orbital dynamic model was built inside the influence sphere and the error sources that may affect the accuracy of capture orbit are presented. Finally, the influences on perigee and apogee of the capture orbit caused by the position and velocity navigation error, engine thrust error and timing errors are analyzed through Monte Carlo simulations. The limit exceed possibility caused by different error sources are also discussed and the dominating sources is pointed out. The result can be used as a reference for the orbit capture implementation of future Chinese Mars orbiters.
- Mars orbit capture,
- gravity sphere,
- influence sphere,
- Hill sphere,
- error analysis

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References

刘林, 汤靖师. 火星轨道器运动的轨道变化特征. 宇航学报, 2008, 29(2): 461-466 (Liu Lin, Tang Jingshi. Orbit variation characteristics of the Mars' orbiters. Journal of Astronautics, 2008, 29(2): 461-466 (in Chinese))

刘林, 赵玉晖, 张巍等. 环火卫星运动的坐标系附加摄动及相应坐标系的选择. 天文学报, 2010, 51(4): 412-421 (Liu Lin, Zhao Yuhui, Zhang Wei, et al. The coordinate additional perturbations to Mars orbiters and the choice of corresponding coordinate system. Acta Astronomica Sinica, 2010, 51(4): 412-421 (in Chinese))

陈杨, 赵国强, 宝音贺西等. 精确动力学模型下的火星探测轨道设计. 中国空间科学技术, 2012, 1: 8-15 (Chen Yang, Zhao Guoqiang, Baoyin Hexi, et al. Orbit design for Mars exploration by the accurate dynamic model. Chinese Space Science and Technology, 2012, 1: 8-15 (in Chinese))

李俊峰, 宝音贺西. 深空探测中的动力学与控制. 力学与实践, 2007, 29(4): 1-8 (Li Junfeng, Baoyin Hexi. Dynamics and control in deep space exploration. Mechanics in Engineering, 2007, 29(4): 1-8 (in Chinese))

Fischer J, Denis M. Mars orbit insertion —— a new challenge for Europe success with ESA's Mars Express. European Space Operations Centre. IEEEAC, 2004, 1370

Liever P, Habchi S, Burnell S, et al. Computational fluid dynamics prediction of the Beagle 2 aerodynamic database. Journal of Spacecraft and Rocket, 2003, 40(5): 632-638

Jai B, Wenker D, Hammer B, et al. An overview of Mars reconnaissance orbiter mission and operations challenges. AIAA SPACE Conference & Exposition, Long Beach, California. 2007, AIAA 2007-6090

Liechty D. Aeroheating analysis for the Mars reconnaissance orbiter with comparison to flight data. Journal of Spacecraft and Rocket, 2007, 44(6): 1226-1231

Lyons D, Beerer J, Esposito P, et al. Mars global surveyor: aerobraking mission overview. Journal of Spacecraft and Rocket, 1999, 36(3): 307-313

Jet Propulsion Laboratory. Orbit insertion phase. http://www.msss. com/mars/global_surveyor/mgs_msn_plan/section5/section5.html, 2010

尚海滨, 崔平远, 栾恩杰. 地球-火星的燃料最省小推力转移轨道的设计与优化. 宇航学报, 2006, 27(6): 1168-1173 (Shang Haibin, Cui Pingyuan, Luan Enjie. Design and optimization of Earth-Mars optimal fuel low thrust trajectory. Journal of Astronautics, 2006, 27(6): 1168-1173 (in Chinese))

杨嘉摨. 航天器轨道动力学与控制(上). 北京: 中国宇航出版社, 2004 (Yang Jiaxi. Spacecraft Orbital Dynamics and Control (Vol.1). Beijing: China Aerospace Press, 2004 (in Chinese))

Chebotarev G. On the dynamical limits of the solar system. Soviet Astronomy, 1965, 8(5): 787-796

刘林, 侯锡云. 深空探测器轨道力学. 北京: 电子工业出版社, 2012 (Liu Lin, Hou Xiyun. Deep Space Probe Orbital Mechanics. Beijing: Electronic Industry Press, 2012 (in Chinese))

郝岩. 深空测控网. 北京: 国防工业出版社, 2004 (Hao Yan. Deep Space Telemetry Network. Beijing: National Defense Industry Press, 2004 (in Chinese))

徐福祥. 卫星工程概论. 北京: 中国宇航出版社, 2004 (Xu Fuxiang. Introduction of Satellite Engineering. Beijing: China Aerospace Press, 2004 (in Chinese)

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MARS GRAVITY CAPTURE DYNAMIC MODEL AND ERROR ANALYSIS