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Regularization Using a Time-Transformation Only

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Recent Advances in Dynamical Astronomy

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 39))

Abstract

It is possible to regularize the perturbed Kepler problem by performing a transformation of the time only. The regularized equations are derived and interpreted, and they are shown to have properties of value in analytic and in numerical applications.

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References

  • Aarseth, S. J.: 1972, in M. Lecar (ed.), Gravitational N-BodyProblem, D. Reidel Publ. Co, Dordrecht, Holland, p. 373.

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© 1973 D. Reidel Publishing Company, Dordrecht-Holland

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Heggie, D.C. (1973). Regularization Using a Time-Transformation Only. In: Tapley, B.D., Szebehely, V. (eds) Recent Advances in Dynamical Astronomy. Astrophysics and Space Science Library, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2611-6_3

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  • DOI: https://doi.org/10.1007/978-94-010-2611-6_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2613-0

  • Online ISBN: 978-94-010-2611-6

  • eBook Packages: Springer Book Archive

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