| Periodic Orbits in Rotating Second Degree and Order Gravity Fields |
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| 作者姓名： | Wei-Duo Hu Daniel J. Scheeres |
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| 作者单位： | [1]School of Astronautics, BeiHang University, Beijing 100083 [2]Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI48109, USA |
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| 基金项目： | Acknowledgements Helpful suggestions that largely improved the paper were given by Dr. Martin Lara, from Spain, when he visited the University of Michigan, and by an anonymous referee. This work was partially supported by an Innovation Fund from the Chinese Academy of Space Technology, and a grant from the Jet Propulsion Laboratory, which is under a contract with NASA. |
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| 摘 要： |
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| 关 键 词： | 天体力学 小行星 运行轨道 天文学 |
| 收稿时间： | 2007-05-08 |
| 修稿时间： | 2007-10-12 |
Periodic Orbits in Rotating Second Degree and Order Gravity Fields |
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| Abstract: | Periodic orbits in an arbitrary 2nd degree and order uniformly rotating gravity field are studied. We investigate the four equilibrium points in this gravity field. We see that close relation exists between the stability of these equilibria and the existence and stability of their nearby periodic orbits. We check the periodic orbits with non-zero periods. In our searching procedure for these periodic orbits, we remove the two unity eigenvalues from the state transition matrix to find a robust, non-singular linear map to solve for the periodic orbits. The algorithm converges well, especially for stable periodic orbits. Using the searching procedure, which is relatively automatic, we find five basic families of periodic orbits in the rotating second degree and order gravity field for planar motion, and discuss their existence and stability at different central body rotation rates. |
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| Keywords: | celestial / orbital mechanics - asteroid - periodic orbit - resonance |
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