Perturbed hyperbolic motion of comets in the vicinity of the major planets
Abstract
The motion of a shortperiod comet near Jupiter which is perturbed by the sun (or a combination of the sun and Saturn) is examined. Differential equations for the perturbed elements of an intermediate orbit are derived using the symmetrical variant of the generalized fixedcenter problem as a basis. The righthand sides of these equations represent trigonometric series with arguments that are combinations of the angular elements of the comet orbit and the perturbing body. The series coefficients depend on nonangular elements.
 Publication:

Byulleten' Instituta Teoreticheskoj Astronomii (Leningrad)
 Pub Date:
 1984
 Bibcode:
 1984BITA...15..288C
 Keywords:

 Celestial Mechanics;
 Comets;
 Hyperbolic Trajectories;
 Jupiter (Planet);
 Orbit Perturbation;
 Orbital Elements;
 Differential Equations;
 Saturn (Planet);
 Sun;
 Trigonometric Functions;
 Astrophysics