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

Alexandre Pousse; Philippe Robutel; Alain Vienne

doi:10.1017/S1743921314008175

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

Published online by Cambridge University Press: 05 January 2015

Alexandre Pousse ,

Philippe Robutel and

Alain Vienne

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Alexandre Pousse*: Affiliation:
IMCCE - Observatoire de Paris, Université Lille 1, Université Paris 06, 77 avenue Denfert Rochereau, 75014 Paris, France
Philippe Robutel: Affiliation:
IMCCE - Observatoire de Paris, Université Lille 1, Université Paris 06, 77 avenue Denfert Rochereau, 75014 Paris, France
Alain Vienne: Affiliation:
IMCCE - Observatoire de Paris, Université Lille 1, Université Paris 06, 77 avenue Denfert Rochereau, 75014 Paris, France
*: 2email: apousse@imcce.fr

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Abstract

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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 L3, L4 and L5 emerging periodic orbits families and remarked that for very high eccentricities ${\cal F}_{L_4}$ and ${\cal F}_{L_5}$ merge with ${\cal F}_{L_3}$ which bifurcates to a stable family.