宇航学报 ›› 2012, Vol. 33 ›› Issue (9): 1203-1209.doi: 10.3873/j.issn.1000-1328.2012.09.003

• 飞行器设计与力学 • 上一篇    下一篇

高阶带谐摄动下卫星相对运动精确动力学模型

徐光延1, 项峰1, 谌颖2   

  1. (1. 沈阳航空航天大学,沈阳 110136; 2.北京控制工程研究所,北京 100190)
  • 收稿日期:2011-06-26 修回日期:2011-07-26 出版日期:2012-09-15 发布日期:2012-09-10
  • 基金资助:
    国家自然科学基金(61074159);国家人力资源和社会保障部留学人员择优资助(LNY2010001)

Exact Dynamic Model of Satellite Relative Motion under Arbitrary Zonal Harmonic Perturbations

XU Guangyan1, XIANG Feng1, CHEN Ying2   

  1. (1. Shenyang Aerospace University,Shenyang 110136, China; 2. Beijing Institute of Control Engineering, Beijing 100190,China)
  • Received:2011-06-26 Revised:2011-07-26 Online:2012-09-15 Published:2012-09-10

摘要: 在考虑J 2 项摄动的卫星相对运动精确动力学模型基础上,推导了可以精确到任意阶带谐非球形引力摄动的卫星相对运动精确动力学模型,还给出了一组简洁的基于参考卫星轨道要素(Reference Satellite Variables)的微分方程,能够描述精确到任意阶带谐非球形引力的卫星地球轨道运动。由于在模型推导过程中没有引入任何简化,新推导的结果适用于任意偏心率的地球轨道。

关键词: 卫星相对运动, 卫星编队飞行, 带谐非球形引力摄动

Abstract: To expand the exact dynamics model of satellite relative motion under J 2  perturbation, a new model exact up to arbitrary zonal harmonic perturbations is established. Moreover, a set of differential equations in terms of Reference Satellite Variables (RSV) are obtained to accurately describe the satellite motion around the Earth under arbitrary zonal harmonic perturbations. Since no simplification is applied during the derivation, the result is valid for arbitrary eccentric orbits.

Key words: Satellite relative motion, Satellite formation flight, Zonal harmonic perturbations

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