Regularization of equations of the planar restricted problem of three bodies with L-transformations

Abstract

The regularization of the equations of motion of the planar circular restricted three-body problem is considered. The regularization is performed in the canonical variables in the movable coordinate system. Two different L-matrices of the second order are used in the regularization. The constructed equations have a polynomial structure. The obtained system is numerically integrated by the Runge—Kutta—Felberg method. The results of numerical experiments with the parameters of the Earth—Moon system are presented for various L-matrices.