Relatório de pesquisa 05/08


Pseudo Periodic Orbits of the Planar Collision Restricted 3-Body Problem in Rotating Coordinates, Jaume Llibre and Luci Any Roberto, submitted March 2008.

Abstract
By using the continuation method of Poincar\'{e}, we characterize the periodic circular orbits and the symmetric periodic elliptic orbits that can be prolonged from the planar Kepler problem in rotating coordinates to pseudo periodic orbits of the planar restricted 3--body problem in rotating coordinates with the two primaries moving in an elliptic collision orbit.
Mathematics Subject Classifications (2000):  Primary 70F15(70F07).

Keywords:
Collision restricted 3{body problem, continuation method, periodic orbit, symmetric periodic orbit, circular orbit, elliptic orbit.


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March 11, 2008

 

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