Symmetric horseshoe periodic orbits in the general planar three-body problem |
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Authors: | Abimael Bengochea Manuel Falconi Ernesto Pérez-Chavela |
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Institution: | 1.Departamento de Matemáticas,Facultad de Ciencias, UNAM, Ciudad Universitaria,Mexico,Mexico;2.Departamento de Matemáticas,UAM Iztapalapa,Mexico,Mexico |
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Abstract: | We present some families of horseshoe periodic orbits in the general planar three-body problem for the case of two equal masses.
The considered system is a symmetric version of the one formed by Saturn, Janus and Epimetheus. We use a mass ratio equal
to 35×10−5, corresponding to 105 times the Saturn-Janus mass parameter of the restricted case; for this mass ratio the satellites have a significantly bigger
influence on the planet than in the classical Saturn, Janus and Epimetheus system. To obtain periodic orbits, we search those
horseshoe orbits passing through two reversible configurations. A particular kind of periodic orbits where the minor bodies
follow the same path is discussed. |
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Keywords: | |
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