Bulletin of Pure & Applied Sciences- Mathematics and Statistics

  • Year: 2012
  • Volume: 31e
  • Issue: 1

The equations of motion for photogravitional and oblateness in elliptic restricted three body problem in terms of regularized levi-civita variables

  • Author:
  • M. A. Sharaf, E. I. Abouelmagd1
  • Total Page Count: 7
  • DOI:
  • Page Number: 129 to 135

1Department of Mathematics, Faculty of Science and Arts, King Abdul Aziz University, Khulais, Saudi Arabia. Email:eabouelmagd@gmail.com

Department of Astronomy, Faculty of Science, King Abdul Aziz University, Jeddah, Saudi Arabia. Email:sharaLadel@hotmail.com

Online published on 11 January, 2013.

Abstract

In this paper, the equations of motion for photogravitional and oblateness in elliptic restricted three body problem was established in terms of the regularized Levi-Civita variables. We consider the case in which, the bigger primary is spherical as well as the source of radiation, while the smaller primary is oblate spheroid.

Keywords

Photogravitional, Elliptic restricted three body problem, Regularization, Oblateness, Solar radiation pressure