Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2018
  • Volume: 37e
  • Issue: 2

Equations of motion in out of plane photogravitational elliptic restricted three body problems with smaller primary oblate

1Research scholar, Department of Mathematics, Jai Prakash University, Sadhapur, Chapra (Saran), Bihar, 841301, India

2Department of Mathematics, D.A.V. College (Jai Prakash University), Shanti Nagar, Siwan, Bihar, 841226, India

*Corresponding Author: Sunil Kumar Pandit, Research scholar, Department of Mathematics, Jai Prakash University, Sadhapur, Chapra (Saran), Bihar, 841301, E-mail: panditsk1991@gmail.com

Online published on 18 December, 2018.

Abstract

We consider out of plane photogravitational elliptic restricted three body problem. We suppose that the bigger primary is radiating and the smaller one is an oblate spheroid. We find the forces acting due to radiation and oblateness of the primaries. We also calculate the mean motion. Finally, we derive the equations of motion for our problem. These are different from the classical elliptic restricted three body problem (ERTBP).

Keywords

Equations of motion, photogravitational, ERTBP, oblate primary