Horseshoe Orbits for the Elliptic Restricted Three-Body Problem

Elan Gin, P.W. Sharp


In contrast to the planar circular restricted three-body problem, few periodic orbits to the more general and more realistic
planar elliptic problem are known. We use continuation techniques to find families of elliptic horseshoe orbits for the
system that bifurcate from circular orbits. The new families are rich in structure with all having a turning point in the
eccentricity. These turning points lead to new families of orbits for the circular problem. We
also investigate the horizontal, vertical and orbital stability of the new families of elliptic orbits.

three-body, restricted, elliptic, horseshoe, families, stability

Math Review Classification
Primary 70F10

Last Updated
October 28, 2004


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