Generating Solution of the Restricted Three-Body Problem in 3-DIMENSION

Abstract

As it is well known, the KS-transformation is a transformation which regularizes the equations of Keplerian motion in the three dimensional physical space to the four dimensional phase space. Kurcheeva (1977) has given canonical equations of motion for the circular restricted three body problem using KS-regularization. This paper presents the generating solution of the circular restricted three body problem in four dimensional phase space