Families of periodic horseshoe orbits in the restricted three-body problem

Details Families of periodic horseshoe orbits in the restricted three-body problem Families of periodic horseshoe orbits in the restricted three-body problem

Mar 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005a%26a...432.1115b&link_type=abstract

Astronomy and Astrophysics, Volume 432, Issue 3, March IV 2005, pp.1115-1129

Astronomy and Astrophysics

Astrophysics

6

Celestial Mechanics

Scientific paper

We compute families of symmetric periodic horseshoe orbits in the restricted three-body problem. Both the planar and three-dimensional cases are considered and several families are found. We describe how these families are organized as well as the behavior along and among the families of parameters such as the Jacobi constant or the eccentricity. We also determine the stability properties of individual orbits along the families. Interestingly, we find stable horseshoe-shaped orbit up to the quite high inclination of 17°.

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