2018•Bulletin of Pure & Applied Sciences- Mathematics and StatisticsOpen access

Effect of Radiation and Oblateness on the Equilibrium Points in the Elliptic Restricted Three Body Problem

Ganesh Mahto

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Abstract

In this paper we have obtained the location of equilibrium points in the elliptic restricted three body problem. We suppose that the bigger primary is oblate and the smaller primary as radiating. We find the positions of triangular equilibrium points in our problem and note that the positions of triangular points are shifted away from the line joining the primaries than in the classical case. Thus the positions are affected due to introduction of eccentricity, semi-major axis, radiation and oblateness factors of both primaries.

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In this paper we have obtained the location of equilibrium points in the elliptic restricted three body problem. We suppose that the bigger primary is oblate and the smaller primary as radiating. We find the positions of triangular equilibrium points in our problem and note that the positions of triangular points are shifted away from the line joining the primaries than in the classical case. Thus the positions are affected due to introduction of eccentricity, semi-major axis, radiation and oblateness factors of both primaries.

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Available abstract

In this paper we have obtained the location of equilibrium points in the elliptic restricted three body problem. We suppose that the bigger primary is oblate and the smaller primary as radiating. We find the positions of triangular equilibrium points in our problem and note that the positions of triangular points are shifted away from the line joining the primaries than in the classical case. Thus the positions are affected due to introduction of eccentricity, semi-major axis, radiation and oblateness factors of both primaries.

Key concepts: Three-body problem, Radiation, Physics, Equilibrium point, Mathematics, Mathematical analysis, Classical mechanics, Mechanics

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