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Equations of motion of elliptic restricted problem of three bodies with variable mass

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Abstract

The differential equations of motion of the elliptic restricted problem of three bodies with decreasing mass are derived. The mass of the infinitesimal body varies with time. We have applied Jeans' law and the space-time transformation of Meshcherskii. In this problem the space-time transformation is applicable only in the special case whenn=1,k=0,q=1/2. We have applied Nechvile's transformation for the elliptic problem. We find that the equations of motion of our problem differ from that of constant mass only by a small perturbing force.

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Authors and Affiliations

  1. R. K. Mission Vidyapith, B. Deoghar, Bihar, India

    R. K. Das

  2. Dept. of Mathematics, S. P. College, Dumka, Bihar, India

    A. K. Shrivastava

  3. Department of Mathematics, University of Bihar, Muzaffarpur, Bihar, India

    B. Ishwar

Authors
  1. R. K. Das
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  2. A. K. Shrivastava
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  3. B. Ishwar
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Das, R.K., Shrivastava, A.K. & Ishwar, B. Equations of motion of elliptic restricted problem of three bodies with variable mass. Celestial Mechanics 45, 387–393 (1988). https://doi.org/10.1007/BF01245759

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  • DOI: https://doi.org/10.1007/BF01245759

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