ON EXPANDING THE DISTURBING FUNCTION IN POWERS OF THE ECCENTRICITIES IN THE ELLIPTIC PROBLEM OF THREE BODIES

Abstract

A method for expanding the disturbing function in the series in terms of the powers of eccentricities is set forth without any restrictions concerning exponents. Particular attention is paid to the description of the algorithm for finding numerical values of Newcomb's operators of any order. A procedure for computation of any term of the series representing the disturbing function in Ljach's form is described by means of ALGOL-60. Tables of such expansion computed on the basis of the mentioned procedure are supplied.