Systematic and random deformations of longperiod comet orbits
Abstract
A system of differential equations for the evolution of the orbital elements of a comet subject to regular galactic forces has been derived, assuming a circular orbit for the sun around the Galaxy. The general solution to the equations indicates that an initial straightline orbit lying either in the galactic plane or along the zaxis will not evolve. If the straightline orbit is inclined to the galactic plane by a 27.65 deg angle, it will become a circular orbit only after an infinite time span. A formula has been obtained for the dispersion in the incremental angular momentum of an initially degenerate orbit due to the cumulative effect of irregular galactic forces. Formulas are presented which can be used to calculate the changes in the parameter of a highly elongated orbit over various time intervals for various values of the semimajor axis.
 Publication:

Pisma v Astronomicheskii Zhurnal
 Pub Date:
 June 1984
 Bibcode:
 1984PAZh...10..394A
 Keywords:

 Celestial Mechanics;
 Comets;
 Orbit Perturbation;
 Interstellar Magnetic Fields;
 Orbital Elements;
 Astronomy