分布式卫星系统相对运动的Hamilton 力学建模及求解方法研究.pdf

文档介绍：国防科技大学学报
第 32 卷第 2 期 JOURNAL OF NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY Vol. 32 No. 2 2010
文章编号: 1001- 2486( 2010) 02- 0012- 05
分布式卫星系统相对运动的 Hamilton 力学建模及求解方法研究X
张跃东, 陈琪锋, 戴金海
( 国防科技大学航天与材料工程学院, 湖南长沙 410073)
摘要: 介绍了地球扁率摄动下分布式卫星系统( DSS, Distributed Satellite System) 相对运动的 Hamilton 动力
学模型, 给出 DSS 相对运动的 Hamilton 正则方程; 针对地球扁率摄动下 DSS 相对运动的两点边值问题, 提出了
一种基于生成函数的打靶求解法, 应用该方法对地球扁率摄动下 DSS 高精度构型调整问题进行了计算, 结果
表明该算法具有较高的计算效率, 可有效避免维数灾难问题。
关键词: 分布式卫星系统; 相对运动; Hamilton 动力学模型; 两点边值问题
中图分类号: V412 文献标识码: A
Study on Hamiltonian Dynamic Model and Solving Method of
Distributed Satellite System Relative Motion
ZHANG Yue-dong, CHEN Q-ifeng, DAI Jin-hai
( College of Aerospace and Material Engineering, National Univ. of Defense Technology, Changsha 410073, China)
Abstract: The Hamiltonian dynamic model of distributed satellite system( DSS) relative motion under earth oblateness perturbation
was introduced, and the Hamilton. s equation of DSS relative motion was also obtained. Aiming at solving relative two-point boundary
value problems of DSS under earth oblateness perturbation, a shooting method based on solving generating function was proposed. High
precision formation adjusting problems of DSS under earth oblateness perturbation was calculated. Results demonstrate that the algorithm
has putational efficiency and can avoid the problem of dimension disaster.
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