Evolution of cometary orbits under the combined action of planetary and galactic perturbations

Astronomy and Astrophysics – Astronomy

Scientific paper

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Comets, Galaxies, Orbital Mechanics, Perturbation Theory, Planets, Equations Of Motion, Gravitational Effects

Scientific paper

The equation of motion for a comet in the form regularized by the K-S transformation is numerically integrated to see how it evolves under the galactic and planetary perturbations. It is shown that a cometary orbit which is initially well outside the loss cone is significantly altered before it becomes observable, so that the original values of the semi-major axes, a, may not give direct information on the structure of the comet cloud which is currently associated with the solar system. It is further shown that there is an optimum value for the original semi-major axis just before apparition and that the value is close to 27,000 AU. The number of comets estimated to exist in the cloud ranges from 1.1 x 10 to the 11th to 2 x 10 to the 12th, depending on the value of initial a.

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