The stochastic motion of nearly parabolic comets under the effects of planetary perturbations

Astronomy and Astrophysics – Astronomy

Scientific paper

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Comets, Gravitational Fields, Orbit Perturbation, Three Body Problem, Astronomical Models, Celestial Mechanics, Diffusion Coefficient, Solar System

Scientific paper

An analytical expression for the diffusion rate of arbitrary, nearly parabolic orbits in the restricted circular three-body problem is obtained. Formulas and recurrence relations convenient for calculations are given. Results of calculations of the diffusion coefficient for different perihelion distances and inclinations of orbits are presented, taking the perturbations from all the major planets into account.

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