Analog of the surfaces of zero velocity in the restricted elliptic, parabolic, and hyperbolic three-body problem

Details Analog of the surfaces of zero velocity in the restricted elliptic, parabolic, and hyperbolic three-body problem Analog of the surfaces of zero velocity in the restricted elliptic, parabolic, and hyperbolic three-body problem

Nov 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010astl...36..823l&link_type=abstract

Astronomy Letters, Volume 36, Issue 11, pp.823-833

Astronomy and Astrophysics

Astronomy

1

Celestial Mechanics, Restricted Noncircular Three-Body Problem, Surfaces Of Minimum Energy, Hill Stability

Scientific paper

The surfaces of minimum energy have been constructed in the noncircular restricted three-body problem, which are a generalization of the surfaces of zero velocity known in the circular problem. The Hill stability, conditional stability, and instability criteria have been established. Some astronomical applications of the results obtained are considered.

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