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Formation around planetary displaced orbit

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Abstract

The paper investigates the relative motion around the planetary displaced orbit. Several kinds of displaced orbits for geocentric and martian cases were discussed. First, the relative motion was linearized around the displaced orbits. Then, two seminatural control laws were investigated for each kind of orbit and the stable regions were obtained for each case. One of the two control laws is the passive control law that is very attractive for engineering practice. However, the two control laws are not very suitable for the Martian mission. Another special semi-natural control law is designed based on the requirement of the Martian mission. The results show that large stable regions exist for the control law.

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Correspondence to Li Jun-feng  (李俊峰).

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Communicated by CHEN Li-qun

Project supported by the National Natural Science Foundation of China (Nos. 10672084 and 10672084)

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Gong, Sp., Li, Jf. & Baoyin, Hx. Formation around planetary displaced orbit. Appl Math Mech 28, 759–767 (2007). https://doi.org/10.1007/s10483-007-0606-y

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  • DOI: https://doi.org/10.1007/s10483-007-0606-y

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Chinese Library Classification

2000 Mathematics Subject Classification

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