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Analytical Theory of A Trapping. In A Two-Body Problem of Variable Mass

Published online by Cambridge University Press:  12 April 2016

T.B. Omarov  and
M.J. Minglibaev
T.B. Omarov
Affiliation:
The Astrophysical Institute of the Academy of Sciences of Kazakh SSR, Alma-Ata, USSR
M.J. Minglibaev
Affiliation:
The Astrophysical Institute of the Academy of Sciences of Kazakh SSR, Alma-Ata, USSR

Summary

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The new nonstationary model problem is considered. Its solution generalizes by form the known particular Mestschersky-Vinti solution in a two-body problem of variable mass. The equations of the corresponding perturbed motion are deduced. In the case of a two-body problem of variable mass μ. the perturbing force is proportional to second temporal derivative from the value μ-1 . It is possible to describe with a good approximation such qualitative effects in this problem as a trapping and disintegration on a basis of properties of the model problem. Let us consider the example of a trapping.

Type
Part VI - Miscellaneous Dynamics
Information
International Astronomical Union Colloquium , Volume 74: Dynamical Trapping and Evolution in the Solar System , 1983 , pp. 369 - 375
Copyright
Copyright © Reidel 1983

References

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