Analytic Representation of Orbits in the Regularized Planar Restricted Three-Body Problem

摘要

A solution of the Cauchy problem for a regularized set of equations of motion determining the planar restricted three-body problem is considered. A method of generalized matrices is developed for the Taylor representation of orbits. The domain where the solution is decomposable in power series in regular time and the initial values of phase coordinates is found. The convergence of the series obtained is estimated. The proposed method is applied to an approximate calculation of coordinates of a particle moving along the Egorov-Arenstorf-David- son orbit.