Motion of nearly parabolic comets under the effects of small planetary perturbations

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Comets, Neptune (Planet), Stochastic Processes, Three Body Problem, Hamiltonian Functions, Oort Cloud, Trajectory Analysis

Scientific paper

The nearly parabolic motion of comets is examined in the external variant of the restricted circular three-body problem. The limit of stochastic motion is estimated. If ap is much less than q (where q is the perihelion distance of the cometary orbit and ap is the orbital radius of the planet), the maximum stochasticity occurs at the comet-orbit inclination I = 70.5 deg. Neptune is found to have the most extended zone of influence on the comet motion.

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