| 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 Sun-Jupiter 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. |
Keywords
three-body, restricted, elliptic, horseshoe, families, stability
Math Review Classification
Primary 70F10
Last Updated
October 28, 2004
Length
23
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