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

Details Equations of motion of the restricted problem of three bodies with variable mass Equations of motion of the restricted problem of three bodies with variable mass

Jul 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..323s&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 30, July 1983, p. 323-328.

Physics

14

Celestial Mechanics, Equations Of Motion, Three Body Problem, Variable Mass Systems, Jeans Theory, Orbital Mechanics, Satellite Perturbation, Space-Time Functions

Scientific paper

The differential equations of motion of the restricted three-body problem with decreasing mass are deduced under the assumption that the satellite mass varies with respect to time. The Jeans law and the space-time transformation contrast are applied to the Meshcherskii (1975) transformation. It is noted that the space-time transformation is applicable only in the special case where n = 1, k = zero, and q = 1/2. The equations of motion for the present problem differ from the equations of motion of the restricted three-body problem with constant mass only in the existence of small perturbing forces.

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