Kinetic Characteristics and Continuation Algorithm of Periodic Families

doi:10.3780/j.issn.1000-758X.2013.01.005

Chinese Space Science and Technology ›› 2013, Vol. 33 ›› Issue (1): 30-36.doi: 10.3780/j.issn.1000-758X.2013.01.005

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Kinetic Characteristics and Continuation Algorithm of Periodic Families

LIU Lei^1,2,LIU Yong^1,2,CAO Jianfeng^1,2,TANG Geshi^1,2,HU Songjie^1,2

(1 Science and Technology on Aerospace Flight Dynamics Laboratory, Beijing 100094) (2 Beijing Aerospace Control Center, Beijing 100094)

Received:2012-06-12 Revised:2012-10-23 Published:2013-02-25 Online:2013-02-25

Abstract

Abstract: Study on halo orbit period and scope of kinetic characteristics is the premise of halo orbit applications. For the applications and some numerical issues on a big halo orbit and a whole halo family, considering the wide applications of the libration points in the Sun-Earth/Moon and Earth-Moon system, the kinetic characteristics and the continuation algorithm of periodic families were studied under the circular restricted three-body problem. The method of numerical halo family determination by the continuation algorithm was presented. Influences of family parameter selection on family determination were analyzed. Finally, the halo families with a large scope were given in the Sun-Earth/Moon and Earth-Moon system, together with their kinetic characteristics of orbit periods and locations. The results show that the family parameter of x is preferable for an L1 halo family and the y velocity or T is preferable for L2. The method is fit for the numerical halo family determination in any three-body system, especially for those under perturbations by a simple modification of state transition matrix.

Key words: Three-body problem, Libration point, Halo orbit, Continuation algorithm, Orbit design, Deep space exploration

LIU Lei, LIU Yong, CAO Jian-Feng, TANG Ge-Shi, HU Song-Jie. Kinetic Characteristics and Continuation Algorithm of Periodic Families[J]. Chinese Space Science and Technology, 2013, 33(1): 30-36.

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Kinetic Characteristics and Continuation Algorithm of Periodic Families

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