International Astronomy and Astrophysics Research Journal

Out-of-plane Equilibrium Points in the ER3BP with Triaxial-radiating Primaries with a P-R Drag Force Surrounded 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

This paper studies the motion of an infinitesimal particle near the out-of-plane equilibrium points in the elliptic restricted three body problem (ER3BP) when the primaries are triaxial rigid bodies, sources of radiation with a Poynting-Robertson (P-R) drag force surrounded by a belt. It is observed that there exist two out-of-plane equilibria which lie in the ξζ- plane in symmetrical positions with respect to the orbital plane. The parameters involved in the system affect their positions. The position changes with an increase in triaxiality, radiation and belt in the presence of P-R drag force. We found that for the binary system the effect of triaxialty and the belt moves the out-of-plane equilibrium points in opposite directions. The position and linear stability of the out-of-plane equilibrium points are investigated numerically using first, arbitrary values for the parameters and then for the two binary systems (Xi-Bootis and Kruger 60) and they are found to be unstable in each case.

Keywords: Triaxiality, radiation, elliptic restricted three body problem, stability, gravitational poenial from the belt, binary systems

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