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Regions of Escape on the Velocity Ellipsoid for the Planar Three Body Problem

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Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 72))

Abstract

The notion of the velocity ellipsoid for the planar three body problem is given. Using the sufficient conditions for escape of one member of a triple system, given by Standish (1971), a region is found on the velocity ellipsoid for which escape is guaranteed.

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References

  1. Birkhoff, G.: 1927, Dynamical Systems, (published by the A.M.S., Providence, Rhode Island).

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  2. Bozis, G.: 1976, Astroph. and Space Science 43, 355.

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  3. Standish, M.: 1971, Celes. Mech 4, 44.

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© 1978 D. Reidel Publishing Company, Dordrecht, Holland

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Bozis, G. (1978). Regions of Escape on the Velocity Ellipsoid for the Planar Three Body Problem. In: Szebehely, V. (eds) Dynamics of Planets and Satellites and Theories of Their Motion. Astrophysics and Space Science Library, vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9809-4_43

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  • DOI: https://doi.org/10.1007/978-94-009-9809-4_43

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9811-7

  • Online ISBN: 978-94-009-9809-4

  • eBook Packages: Springer Book Archive

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