Expansion of the secular and resonant parts of the disturbing function in the theory of the motion of longperiod comets
Abstract
A method for the expansion of the disturbing function in the restricted circular threebody problem for cometary orbits is proposed. A formula is obtained for the development of functions in the elliptic motion as the power series of epsilon = (1  e)/2, (where e is the eccentricity of the cometary orbit). For longperiod comets the convergence region of these series extends to distances where planetary perturbations can be ignored. Formulas and recurrence relations for the calculations of the secular and resonant parts of the perturbation are derived.
 Publication:

Pisma v Astronomicheskii Zhurnal
 Pub Date:
 September 1991
 Bibcode:
 1991PAZh...17..857E
 Keywords:

 Comets;
 Orbit Perturbation;
 Orbital Resonances (Celestial Mechanics);
 Solar Orbits;
 Three Body Problem;
 Distribution Functions;
 Eccentric Orbits;
 Secular Variations;
 Astronomy