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On the stability of the triangular libration points for the photogravitational circular restricted problem of three bodies when both of the attracting bodies are radiating as well

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Abstract

Here the stability of triangular libration points when both the attracting bodies are radiating as well has been investigated under the non-resonance cases. It is found that except for some cases for all values of the radiation reduction factors and for all values of μ<0.0285954..., the motion will be stable.

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References

  • Arnold, V. I.: 1963, Russian Math. Surveys,London Math. Soc.,18, 86–101.

    Google Scholar 

  • Arnold, V. I.: 1961, Doklady Academy of Sciences, USSR,137, 255–257.

    Google Scholar 

  • Birkhoff, G. D.: 1927,Dynamical systems, New York.

  • Manju & Choudhry, R. K.: 1985,Celest. Mech. 36, 165–190.

    Google Scholar 

  • Kunitsyn, A. L. and Perezhogin, A. A.: 1978,Celest. Mech.,18, 395–408.

    Google Scholar 

  • Kunitsyn, A. L. and Tureshbaev, A. T.: 1985,Letters to Astron. Jour. (Russian), II, No. 2, 145–148.

    Google Scholar 

  • Liapunov, A. M.: 1956, ‘A General problem of Stability of Motion’,Acad. Sc., USSR.

    Google Scholar 

  • Markeev, A. P.: 1968,Appl. Math. Mech., Vol. 32, No. 4, 738–744.

    Google Scholar 

  • Markeev, A. P.: 1973,Appl. Math. Mech., Vol. 37, No. 4.

  • Markeev, A. P.: 1978,Libration points in Celestial Mechanics and Cosmo-dynamics, Moscow ‘science’.

  • JEL Simmons, Mc Donald A. J. C. and Brown J. C.: 1985,Celest. Mech.,35, 145–189.

    Google Scholar 

  • Szebehely, V.: 1967,Periodic Orbits, Academic Press, New York.

    Google Scholar 

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Authors and Affiliations

  1. M. S. College, Bhagalpur

    Vijay Kumar

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

    R. K. Choudhry

Authors
  1. Vijay Kumar
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  2. R. K. Choudhry
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Kumar, V., Choudhry, R.K. On the stability of the triangular libration points for the photogravitational circular restricted problem of three bodies when both of the attracting bodies are radiating as well. Celestial Mechanics 40, 155–170 (1987). https://doi.org/10.1007/BF01230257

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  • DOI: https://doi.org/10.1007/BF01230257

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