Restricted Three-Body Problem in Different Coordinate Systems

Mohammed A. Sharaf, Aisha A. Alshaery

Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, KSA.
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, KSA.

DOI: 10.4236/am.2012.39142                

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.

Keywords

Spatial Restricted Circular Three Body Problem; Regularization; Coordinate Transformations

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	M. A. Sharaf and A. A. Alshaery, “Restricted Three- Body Problem in Cylindrical Coordinates System, (Paper I),” Journal of Applied Mathematics, 2012, in press.
[2]	V. Szebehely, “Theory of Orbits,” Academic Press, New York, 1967.