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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

1. Mestschersky, I., 1893, Astron,Nachr., 132, N3159, p.9.Google Scholar
2. Vinti, J., 1974, Mont.Not., 169., N3, p.417.CrossRefGoogle Scholar
3. Hadjidemetriou, J., 1963, Icarus, 2, p.404.Google Scholar
4. Hadjidemetriou, J., 1967, Advances“ in Astron. and Astrophys., 5, p.131·Google Scholar
5. Omarov, T.B., 1963, Astron. Journal of Academy of Sciences of USSR, 40, N4, p.921.Google Scholar