International Astronomy and Astrophysics Research Journal

Stability of Collinear Libration Points in the Photogravitaional Elliptic Restricted Three Body Problem (ER3BP) under the Effects of Pr-Drag Force and Triaxialityenclosed by a Belt

Jagadish Singh

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

Ndaman Isah *

Department of Mathematics, Faculty of Science, Niger State College of Education, Minna, Nigeria.

*Author to whom correspondence should be addressed.

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Abstract

The impact of radiation pressure, Poynting-Robertson Drag (Pr-drag) force and triaxiality of the main bodies surrounded by a belt (circumbinary disc) on the positions and stability of a third body of an infinestisimal mass aroud the collinear Lagrangian points in the elliptic restricted three body problem (ER3BP) are studied. We have obtained the solutions to the location of collinear Lagrangian points  ( =1,2,3). In order to investigate the stability of the model two binary system (FL virginis and Procyon) were employed. It was found that the positions and stability of the libration points are affected by trixiality, Pr-drag force and the gravitational pontetial from the belt. The collinear libration points were found to be unstable.

Keywords: ER3BP, triaxiality, radiation, circumbinarydisc, stability, collinear, gravitational pontential

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