Analysis of regions of stability in the vicinity of a new periodic S orbit in the three-body problem

Details Analysis of regions of stability in the vicinity of a new periodic S orbit in the three-body problem Analysis of regions of stability in the vicinity of a new periodic S orbit in the three-body problem

Sep 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010arep...54..797m&link_type=abstract

Astronomy Reports, Volume 54, Issue 9, pp.797-807

Astronomy and Astrophysics

Astronomy

Scientific paper

The vicinity of a periodic S orbit in the three-body problem with bodies of equal mass is investigated. It is shown that there exists a region of stable motions that preserve the form of the initial periodic orbit. Various sections describing this region are considered. Some specific trajectories from the region of stability and near the boundary of this region are analyzed. Several other regions of stability that are apparently associated with other periodic orbits have also been identified.

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