Symmetric horseshoe periodic orbits in the general planar three-body problem

Details Symmetric horseshoe periodic orbits in the general planar three-body problem Symmetric horseshoe periodic orbits in the general planar three-body problem

Jun 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.333..399b&link_type=abstract

Astrophysics and Space Science, Volume 333, Issue 2, pp.399-408

Astronomy and Astrophysics

Astrophysics

General Three-Body Problem, Horseshoe Orbits, Periodic Orbits

Scientific paper

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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