Capture of comets and the break-up hypothesis

Details Capture of comets and the break-up hypothesis Capture of comets and the break-up hypothesis

Apr 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...244..228e&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 244, no. 1, April 1991, p. 228-235.

Statistics

Computation

2

Asteroids, Celestial Mechanics, Comets, Gravitational Effects, Meteoroids, Computational Astrophysics, Jupiter (Planet), Perihelions, Shock Wave Interaction, Comets, Capture, Hypotheses, Short-Period Comets, Shock, Meteoriods, Celestial Mechanics, Fragmentation, Asteroids, Models, Orbits, Period, Parabolic Comets, Inclination, Jupiter Family, Numerical Methods, Astronomy, Tidal Effects, Calculations, Perihelion, Aphelion, Catalog, Comparisons, Apollo Asteroids, Theoretical Studies, Distribution, Velocity, O

Scientific paper

The input and output osculating heliocentric elements are considered in an ideal model which solves the shock problem for a small body. The model of capture is treated as though it occurs at the vertex of the incoming and outcome orbits, where the orbital plane remains unchanged for a short period close to the time of shock. The analysis permits the application of an instantaneous impulse to the comet's heliocentric velocity vector at the perihelion of a direct parabolic orbit. For comets which have a Tisserand quantity greater than 2 and an inclination of less than 45 degrees, and when the comet's postshock period is similar to that of the planet, the outcome orbit is shown to be direct. The heliocentric motion is shown to be rectilinear when the Tisserand quantity equals 2, and capture can only occur with direct parabolic comets. These and other results of the ideal model of capture are shown to correspond to some observations of Jovian comets, and the break-up of giant comets is suggested by analyzing numerical tests and historical observation data.

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