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Analytical Theory of a Trapping in a Two-Body Problem of Variable Mass

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Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 106))

Summary

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.

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References

  1. Mestschersky I., 1893, Astron.Nachr., 132, N3159, p. 9.

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© 1983 D. Reidel Publishing Company, Dordrecht, Holland

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Omarov, T.B., Minglibaev, M.J. (1983). Analytical Theory of a Trapping in a Two-Body Problem of Variable Mass. In: Markellos, V.V., Kozai, Y. (eds) Dynamical Trapping and Evolution in the Solar System. Astrophysics and Space Science Library, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7214-8_39

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  • DOI: https://doi.org/10.1007/978-94-009-7214-8_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7216-2

  • Online ISBN: 978-94-009-7214-8

  • eBook Packages: Springer Book Archive

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