Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision

Details Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision

Apr 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cemda.106..339b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 106, Issue 4, pp.339-370

Astronomy and Astrophysics

Astronomy

Restricted Three-Body Problem, Spatial Restricted Three-Body Problem With Collision, Averaging Method, Periodic Solutions, Symmetries, Continuation’S Method, Poincaré-Delaunay Variables

Scientific paper

We consider a restricted three-body problem where the primaries are moving in an elliptic collision orbit and the infinitesimal mass moves in a three dimensional space. This paper is devoted to prove analytically the existence of several families of symmetric periodic solutions as continuation of Keplerian circular orbits. In our approach the perturbing parameter is related with the energy of the primaries.

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