Model of the Origin of Planetary Comet Families

The process of the transition of a comet from an initial heliocentric parabolic orbit into a heliocentric elliptical (parabolic with different parameters or hyperbolic) trajectory is analyzed in terms of a pairwise three-dimensional two-body problem: Sun-comet and planet-comet. For the first time, analytical formulas are reported for the orbital parameters of the comet after it escapes the sphere of influence of a planet and is captured by the gravitational field of the Sun. The proposed model can explain the origin of the known families of short-period comets and allows for the prediction of the existence of uncatalogued short- and long-period comets and meteor showers. The model is used to localize the space-time domains to search for new comets and meteor showers in the Solar System.__________Translated from Astronomicheskii Vestnik, Vol. 39, No. 3, 2005, pp. 281–287.Original Russian Text Copyright © 2005 by Perov.