On the dependence on inclination of capture probability of short-period comets

Mathematics – Probability

Scientific paper

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Asteroid Capture, Comets, Orbital Elements, Perihelions, Neptune (Planet), Probability Theory, Uranus (Planet), Comets, Short-Period Comets, Capture, Inclination, Statistical Analysis, Perhelion, Distance, Period, Parameters, Orbits, Evolution, Procedure, Orbital Elements, Calculations, Comparisons, Flux, Origin, Source

Scientific paper

Calculation is made of probability of capture whereby a nearly parabolic comet with perihelion near the Jovian orbit comes to have a perihelion distance less than 2.5 AU and a period less than 200 yr. The probability is found to depend strongly on the inclination, in accordance with earlier results of Everhart and of Stagg and Bailey. It is large for orbits close to the ecliptic but decreases drastically for large inclinations. The overall probability of capture from randomly distributed orbits is 0.00044, which shows that either the presently observed short-period comets are not in a steady state or the source flux may be in the Uranus-Neptune zone.

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