Libration of the Delaunay anomaly in three-body problem.

Physics

Scientific paper

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Three-Body Problem: Motions, Three-Body Problem: Libration, Three-Body Problem: Minor Planets

Scientific paper

Nonrestricted and restricted versions of the elliptical three-body
problem are considered at resonances j:(j+1) and j:(j+2). Analytical
conditions for the libration of the Delaunay anomaly are obtained. The
results are applied to the motion of the asteroids of the Hilda, Hecuba,
and Hestia groups, which are in resonance with Jupiter.

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