Abstract
In this paper we have deduced the differential equations of motion of the restricted problem of three bodies with decreasing mass, under the assumption that the mass of the satellite varies with respect to time. We have applied Jeans law and the space time transformation contrast to the transformation of Meshcherskii. The space time transformation is applicable only in the special casen=1,k=0,q=1/2. The equations of motion of our problem differ from the equations of motion of the restricted three body problem with constant mass only by small perturbing forces.
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References
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Department of Mathematics
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Shrivastava, A.K., Ishwar, B. Equations of motion of the restricted problem of three bodies with variable mass. Celestial Mechanics 30, 323–328 (1983). https://doi.org/10.1007/BF01232197
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DOI: https://doi.org/10.1007/BF01232197