基于摄动能量匹配条件的椭圆

doi:10.3969/j.issn.1674-1579.2014.01.003

Abstract

Abstract: In order to keep perturbed relative motion stable, an energy matching principle under J2 perturbation is presented and two iteration methods for the along track relative velocity and radial relative position are developed. A new leaderfollower formation and its initial relative states are designed according to the two proposed methods. Then an analytical expression of formation keeping impulse is derived based on Lagrangian multiplier method in order to mitigate the effect of formation initialization error. Simulation results show that the condition of energy matching under J2 perturbation can lead to a stable leaderfollower formation. Furthermore, the new formation and its design method can reduce the designing error of separation distance.

Key words: perturbed energy matching condition, elliptical reference orbit, leaderfollower formation

CLC Number:

V448.234

CHEN Wei-Yue, HUANG Zhen. Design of LeaderFollower Formation Near Elliptical Reference Orbit Based on Perturbed Energy Matching Condition[J]., 2014, 40(1): 15-20.

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URL: http://journal01.magtech.org.cn/Jwk3_kjkzjs/EN/10.3969/j.issn.1674-1579.2014.01.003

http://journal01.magtech.org.cn/Jwk3_kjkzjs/EN/Y2014/V40/I1/15

References

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Design of LeaderFollower Formation Near Elliptical Reference Orbit Based on Perturbed Energy Matching Condition

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