On the capture of comets by the Laplace scheme

Details On the capture of comets by the Laplace scheme On the capture of comets by the Laplace scheme

Apr 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977sva....21..218r&link_type=abstract

(Astronomicheskii Zhurnal, vol. 54, Mar.-Apr. 1977, p. 388-397.) Soviet Astronomy, vol. 21, Mar.-Apr. 1977, p. 218-223. Transla

Astronomy and Astrophysics

Astronomy

3

Celestial Mechanics, Comets, Gravitational Effects, Solar System, Asteroids, Capture Effect, Jupiter (Planet), Orbital Elements, Theorem Proving, Vector Analysis

Scientific paper

In 1806 Laplace hypothesized an interstellar origin for comets. A theorem is proven whereby a necessary and sufficient condition for the capture of a small solar-system body is an interaction between that body and a planet such that the projection of the body's velocity on the planet's velocity vector decreases by a quantity expressed in terms of the body's velocity at infinity. All the orbital elements of a captured body are determined as a function of the body's velocity at infinity and the capture site. It is shown that Jupiter could capture some 100,000 nuclei of long-period comets were the sun to pass through an asteroid cloud with a mean density between 10 to the -20th and 10 to the -22nd g/cu cm.

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