| 引用本文: | 张跃东,陈琪锋,戴金海.分布式卫星系统相对运动的Hamilton力学建模及求解方法研究.[J].国防科技大学学报,2010,32(2):12-16,39.[点击复制] |
| ZHANG Yuedong,CHEN Qifeng,DAI Jinhai.Study on Hamiltonian Dynamic Model and Solving Method of Distributed Satellite System Relative Motion[J].Journal of National University of Defense Technology,2010,32(2):12-16,39[点击复制] |
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| 分布式卫星系统相对运动的Hamilton力学建模及求解方法研究 |
| 张跃东, 陈琪锋, 戴金海 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 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 |
| DOI： |
| 投稿日期：2009-06-05 |
| 基金项目:国家自然科学基金资助项目(10802094) |
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| Study on Hamiltonian Dynamic Model and Solving Method of Distributed Satellite System Relative Motion |
| ZHANG Yuedong, CHEN Qifeng, DAI Jinhai |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| 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 high computational efficiency and can avoid the problem of dimension disaster. |
| Keywords: distributed satellite system relative motion Hamiltonian dynamic model two-point boundary value problems |
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