A qualitative investigation of the motion of asteroids of the Hecuba type

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Hill Method, Orbit Perturbation, Solar Orbits, Three Body Problem, Gravitational Effects, Jacobi Integral, Jupiter (Planet), Orbit Calculation, Orbital Elements

Scientific paper

The Delaunay-Hill averaging scheme is applied to the plane, circular,
restricted three-body problem with 2:1 commensurability of mean motions.
A qualitative investigation is made for the case when the first four
terms are retained in the perturbation function. Five types of phase
trajectories are found. The stability of singular solutions is analyzed.

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