Iteration method of determining planetary perturbations
Abstract
A modification of Brouwer's (1944) method for determining perturbations in planetary orbits is proposed. The coordinate system is chosen arbitrarily. Expansions of the righthand terms in the equations of motion are obtained which do not depend on the order of perturbations and are suitable for computer calculations. The functions of unperturbed motion, used in calculating the perturbations, are presented in symmetric form and have no singularities for zero eccentricities. The method of iterations is used for the integration so that several terms higher than nth order relative to the perturbing mass can be taken into account in each nth approximation.
 Publication:

Astronomicheskii Zhurnal
 Pub Date:
 August 1975
 Bibcode:
 1975AZh....52..839I
 Keywords:

 Celestial Mechanics;
 Orbit Perturbation;
 Planetary Orbits;
 Solar Orbits;
 Equations Of Motion;
 Iterative Solution;
 Numerical Integration;
 Orbit Calculation;
 Planetary Mass;
 Astronomy