The stellar perturbations of orbital elements of long-period comets

Details The stellar perturbations of orbital elements of long-period comets The stellar perturbations of orbital elements of long-period comets

Aug 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982mnras.200..661y&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 200, Aug. 1982, p. 661-671.

Astronomy and Astrophysics

Astronomy

10

Comets, Orbit Perturbation, Orbital Elements, Stellar Gravitation, Approximation, Elliptical Orbits, Evolution (Development), Monte Carlo Method, Numerical Integration

Scientific paper

Perturbations in orbital elements of comets with large heliocentric distances that are caused by nearby stars are calculated by the impulse approximation and by accurate numerical integration using Cowell's method. It is shown that the agreement is sufficiently close for elliptic orbits but rather poor for parabolic orbits. The perturbation of inclination is a few tens of degrees while that of perihelion distance is from a few to a few tens of Au depending on mutual configurations. For random encounters, statistical parameters which specify the distributions of orbital elements are calculated by the Monte Carlo method. For direct orbits, the perturbations are such as to increase the inclination, while if the initial orbit is retrograde, the tendency is for the inclination to decrease. An almost complete randomization of inclinations will take place within a few million years.

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