TITLE:
Restricted Three-Body Problem in Different Coordinate Systems
AUTHORS:
Mohammed A. Sharaf, Aisha A. Alshaery
KEYWORDS:
Spatial Restricted Circular Three Body Problem; Regularization; Coordinate Transformations
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.9,
September
27,
2012
ABSTRACT: In this paper of the series, the equations of motion for the spatial circular restricted three-body problem in sidereal spherical coordinates system were established. Initial value procedure that can be used to compute both the spherical and Cartesian sidereal coordinates and velocities was also developed. The application of the procedure was illustrated by numerical example and graphical representations of the variations of the two sidereal coordinate systems.