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Out-of-plane equilibrium points and stability in the generalised photogravitational restricted three body problem

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Abstract

The restricted three body problem is generalised to include the effects of an inverse square distance radiation pressure force on the infinitesimal mass due to the primaries, which are both radiating. In this paper we investigate the stability of out-of-plane equilibrium points, based on equations in variations. We have found the characteristic equation for the complex normal frequencies which is a sixth order polynomial. Thus we conclude that out-of-plane equilibrium points are unstable due to positive real part in complex roots.

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  1. D.S.T. Project, University Department of Mathematics, B.R.A. Bihar University, Muzaffarpur, 842001, India

    Shankaran, J. P. Sharma & B. Ishwar

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  1. Shankaran
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  2. J. P. Sharma
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  3. B. Ishwar
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Correspondence to B. Ishwar.

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Shankaran, Sharma, J.P. & Ishwar, B. Out-of-plane equilibrium points and stability in the generalised photogravitational restricted three body problem. Astrophys Space Sci 332, 115–119 (2011). https://doi.org/10.1007/s10509-010-0494-8

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  • DOI: https://doi.org/10.1007/s10509-010-0494-8

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