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arXiv · 1412.3540

The family of Quasi-satellite periodic orbits in the circular co-planar RTBP

Alexandre Pousse·Philippe Robutel·Alain Vienne
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Abstract

In the circular case of the coplanar Restricted Three-body Problem, we studied how the family of quasi-satellite (QS) periodic orbits allows to define an associated libration center. Using the averaged problem, we highlighted a validity limit of this one: for QS orbits with low eccentricities, the averaged problem does not correspond to the real problem. We do the same procedure to L 3 , L 4 and L 5 emerging periodic orbits families and remarked that for very high eccentricities F L4 and F L5 merge with F L3 which bifurcates to a stable family.

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Alexandre Pousse, Philippe Robutel, Alain Vienne. 2014-12-11. The family of Quasi-satellite periodic orbits in the circular co-planar RTBP. https://doi.org/10.1017/s1743921314008175

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