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Linear stability and the resonance cases for the triangular libration points for the doubly photo-gravitational elliptic restricted problem of three bodies

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Abstract

In the present paper we have found the range of values of µ ande for the linear stability of the triangular points for the doubly photogravitational elliptic restricted problem of three bodies. It has been shown that some resonances of the third and the fourth order exist which will need special investigation for the determination of complete stability of the libration points under our terms of reference.

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Authors and Affiliations

  1. M. S. College, Bhagalpur, Bihar, India

    V. Kumar

  2. Univ. Dept. of Mathematics, Bhagalpur University, Bihar, India

    R. K. Choudhry

Authors
  1. V. Kumar
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  2. R. K. Choudhry
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Kumar, V., Choudhry, R.K. Linear stability and the resonance cases for the triangular libration points for the doubly photo-gravitational elliptic restricted problem of three bodies. Celestial Mech Dyn Astr 46, 59–77 (1989). https://doi.org/10.1007/BF02426713

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  • DOI: https://doi.org/10.1007/BF02426713

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