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Stabilization, Manipulation and Analytic Step Adaption

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Long-Time Predictions in Dynamics

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 26))

Abstract

In order to reduce the error propagation in the numerical calculation of orbits two methods of stabilization of the differential equations of the perturbed Keplerian motion are offered: (1) a nonconservative method by asymptotical stabilization of the energy relation, (2) a conservative method by manipulation of the Hamiltonian. In both methods the stabilization is combined with the introduction of a new independent variable in order to achieve an analytic step size adaption.

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References

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© 1976 D. Reidel Publishing Company, Dordrecht-Holland

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Baumgarte, J. (1976). Stabilization, Manipulation and Analytic Step Adaption. In: Szebehely, V., Tapley, B.D. (eds) Long-Time Predictions in Dynamics. NATO Advanced Study Institutes Series, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1493-9_11

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  • DOI: https://doi.org/10.1007/978-94-010-1493-9_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1495-3

  • Online ISBN: 978-94-010-1493-9

  • eBook Packages: Springer Book Archive

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