The pulsating Hill's surfaces and the origin of comets

Astronomy and Astrophysics – Astronomy

Scientific paper

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Comet Nuclei, Cometary Atmospheres, Hill Method, Solar Orbits, Tides, Elliptical Orbits, Hyperbolic Trajectories, Jacobi Integral, Orbital Mechanics

Scientific paper

The present study examines the appearance of tides in the atmosphere of a body M2 moving on an elliptical or hyperbolic heliocentric orbit. Under the assumption that the atmosphere of M2 consists of a great number of small bodies M3 (cometary nuclei), it is shown that a decrease in the distance between the sun and M2 results in the formation of a 'throat' in the pulsating Hill's surface opposite the top of the tidal bulge. The M3 bodies cross into the heliocentric sphere of Hill's surface through this throat. The proposed hypothesis is in good agreement with statistical data for comets.

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