International Astronomy and Astrophysics Research Journal

Equilibrium Points and Stability in R3BP with Heterogeneous Oblate Spheroid

Jagadish Singh

Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.

Sunusi Haruna *

Nigeria Kano State Polytechnic, School of General Studies, Basic Studies Department, Kano, Nigeria.

*Author to whom correspondence should be addressed.

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Abstract

In this paper, equilibrium points and stability in the photogravitational restricted three-body problem (R3BP) with oblateness under a heterogeneous spheroid have been examined when the  bigger primary is a radiating mass and the smaller one is a mass having three layers with different densities while the infinitesimal mass is an oblate spheroid. It is seen that for some values of oblateness of the infinitesimal mass, radiation pressure of the bigger primary, heterogeneity of the smaller and mass parameter , there exist up to five collinear equilibrium points all of which are unstable while a pair of triangular points exist and are stable when , where is the mass parameter defined by the radiation pressure, oblateness and heterogeneity.  

Keywords: Restricted three-body problem, heterogeneous spheroid, equilibrium points, oblate spheroid, radiating mass, infinitesimal mass, radiation pressure.

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