Investigation of dynamical characteristics of orbits in the problem of three bodies at resonances of the first order.

Astronomy and Astrophysics – Astronomy

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Three-Body Problem: Resonances

Scientific paper

A qualitative analysis of dynamical characteristics of orbits in the problem of three bodies at resonances of the first order is performed. The stability of stationary solutions is investigated. The classification of phase trajectories is presented and analytical expressions for extreme perturbations of the elements of orbits are given.

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