Orbital evolution of long-period comets. I - Trivariate Monte Carlo simulation

Physics

Scientific paper

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Comets, Mathematical Models, Monte Carlo Method, Orbital Elements, Orbital Mechanics, Angular Momentum, Inclination, Jupiter (Planet), Kepler Laws, Perihelions, Comets, Long Period Comets, Evolution, Orbits, Monte Carlo Techniques, Perturbations, Distribution, Energy, Angular Momentum, Simulations, Inclination, Perihelion, Models, Data, Analysis, Capture

Scientific paper

The orbital evolution of long-period comets is calculated by the Monte Carlo method. The trivariate perturbation distributions of barycentric Kepler energy, total angular momentum, and z component in single encounters of comets with Jupiter are discussed. Special emphasis is given to the high-inclination orbits of long-period comets and approximately half of 16 initial orbits are traced up to 5000 returns. For each of these orbits the mean values of semi-major axes; perihelion distances and inclinations; and the standard deviations; survival and capture rates, and time scales of orbital evolutions are presented. The survival efficiency for a comet with a smaller perihelion distance was found to be a general trend, and further studies are conducted on the physical lifetime of comets compared to orbital data.

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