Pseudo Periodic Orbits of the Planar Collision Restricted 3-Body Problem in Rotating Coordinates

Número: 
5
Ano: 
2008
Autor: 
Jaume Llibre
Luci Any Roberto
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.

Keywords: 
Collision restricted 3{body problem
continuation method
periodic orbit
symmetric periodic orbit
circular orbit
elliptic orbit
Mathematics Subject Classification 2000 (MSC 2000): 
Primary 70F15(70F07);
Arquivo: