J2 invariant relative orbits via differential
correction algorithm
Ming Xu;Shijie Xu
【期刊名称】《力学学报：英文版》 【年(卷),期】2007(023)005
【摘要】This paper describes a practical method for finding the invariant orbits in J2 relative dynamics. Working with the Hamiltonian model of the relative motion in cludingthe J2 perturbation, the effective differential correction algorithm for finding periodic orbits in three-body problem is extended to formation flying of Earth's orbiters. Rather than using orbital elements, the analysis is done directly in physical space, which makes a direct connection with physical requirements. The asymptotic behavior of the invariant orbit is indicated by its stable and unstable manifolds. The period of the relative orbits is proved numerically to be slightly different from the ascending node period of the leader satellite,and a preliminary explanation for this phenomenon is presented. Then the compatibility between J2 invariant orbit and desired relative geometry is considered, and the design procedure for the initial values of the compatible configurationis proposed. The influences of measure errors on the invariantorbit are also investigated by the Monte-Carlo simulation. 【总页数】11页(585-595)
【关键词】Formation flying · J2 invariant orbit·Differential correction · Formation configuration 【作者】Ming Xu;Shijie Xu
【作者单位】School of Astronautics, Beihang University, Beijing 100083, China;School of Astronautics, Beihang University, Beijing 100083, China 【正文语种】中文 【中图分类】O3 【文献来源】
https://www.zhangqiaokeyan.com/academic-journal-cn_acta-mechanica-sinica_thesis/0201251116813.html 【相关文献】
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J2 invariant relative orbits via differential correction algorithm
