›› 2011, Vol. 31 ›› Issue (6): 21-26.doi: 10.3780/j.issn.1000-758X.2011.06.0014

• 研究探讨 • 上一篇    下一篇

绕地轨道运动地面物理试验的建模与分析

 李昊阳, 佘志坤, 薛白   

  1. (北京航空航天大学数学与系统科学学院,北京 100191)
  • 收稿日期:2011-01-17 修回日期:2011-12-25 出版日期:2011-12-25 发布日期:2011-12-25
  • 作者简介:李昊阳 1988年生,2009年毕业于中央民族大学统计学专业,现为北京航空航天大学应用数学专业硕士研究生。主研究方向为混杂系统与空间轨道控制。
  • 基金资助:

     国家自然科学基金 (61003021)资助项目

Modeling and Analysis of Ground Physics Experiments on Orbit Movements Around the Earth

 LI  Hao-Yang, SHE  Zhi-Kun, XUE  Bai   

  1. (School of Mathematics and Systems Science, Beihang University, Beijing 100191)
  • Received:2011-01-17 Revised:2011-12-25 Online:2011-12-25 Published:2011-12-25

摘要: 基于对地面物理试验系统的受力分析建立了数学模型,定性定量地分析了液体阻力、模拟万有引力及推力对运动轨迹的影响。首先,根据椭圆轨道摄动方程组导出了推力、液体阻力、模拟万有引力同时存在时地面物理试验的数学模型;然后,通过理论分析定性定量地给出了推力偏差和模拟万有引力偏差对轨道的影响程度;最后,通过大量的数值模拟验证了理论分析的结果。

关键词: 地面物理试验, 液浮, 数学模型, 数值仿真, 航天器

Abstract: Based on the force analysis of a ground physics experiment system, a mathematical model was built. The effects of liquid resistance, propulsion and simulated gravitation on the orbit were qualitatively and quantitatively analyzed. Specifically, according to the perturbation equations of elliptic orbits, a theoretical model for the ground experiments with liquid resistance, propulsion and simulated gravitation was derived. Then, the effects caused by propulsion bias and simulated gravitation bias were qualitatively and quantitatively analyzed. Finally, numerical simulations were used to verify the results obtained by theoretical analysis.

Key words: Ground physics experiment , Liquid bearing, Mathematical model, Numerical simulation, Spacecraft