Statistics – Computation
Scientific paper
Apr 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.231..723y&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 231, April 1, 1988, p. 723-733.
Statistics
Computation
11
Comets, Galactic Nuclei, Molecular Clouds, Oort Cloud, Computational Astrophysics, Monte Carlo Method, Numerical Integration, Perturbation Theory, Solar System, Comets, Tidal Effects, Orbits, Orbital Elements, Astronomy, Dynamics, Calculations, Perturbations, Long-Period Comets, Statistical Methods, Distribution, Celestial Mechanics, Motion
Scientific paper
Orbits of long-period comets in the galactic tidal force are calculated by Cowell's method, which utilizes up to the seventh differences, to see the general behaviour of the orbits. It is shown that the geometrical factor, F = sin2i sin 2ω, plays an important role in deciding the future and past orbits, where i and ω are the inclination and argument of perihelion, respectively. Large numbers of orbits are calculated to estimate the rate of removal of comets from the observable region for a (semi-major axis) = 2.0×104, 2.5×104 and 3.0×104AU. On the assumption that the current Oort cloud of comets is in a steady state, the fraction of comets that are making their first approach to the Sun is estimated at 96 - 98, 98 - 99 and 99 - 99.7 per cent for comets with a = 2.0×104, 2.5×104 and 3.0×104AU, respectively. The randomizing effect by stellar perturbations is briefly discussed.
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