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New Numerical Method for Non-Conservative Systems

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Book cover The Dynamics of Small Bodies in the Solar System

Part of the book series: NATO ASI Series ((ASIC,volume 522))

Abstract

We discuss the efficiency of the implicit second-order integrator for an investigation of the nonconservative dynamics of particles around a star in a co-rotating coordinate system. A big advantage of this numerical integrator is its stability for conservative systems: the error of the semimajor axis and the eccentricity does not accumulate with an increasing number of the time steps. We tested this method for two dissipative systems: one including the Poynting-Robertson drag and the other including the PR-drag with a perturbing planet.

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References

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Author information

Authors and Affiliations

  1. Crimean Astrophysical Observatory, 334242, Simeiz, Crimea, Ukraine

    T. A. Taidakova & N. N. Gor’Kavyi

Authors
  1. T. A. Taidakova
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  2. N. N. Gor’Kavyi
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Glasgow Caledonian University, Glasgow, UK

    Bonnie A. Steves

  2. Department of Physics and Astronomy, University of Glasgow, Glasgow, UK

    Archie E. Roy

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© 1999 Springer Science+Business Media Dordrecht

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Taidakova, T.A., Gor’Kavyi, N.N. (1999). New Numerical Method for Non-Conservative Systems. In: Steves, B.A., Roy, A.E. (eds) The Dynamics of Small Bodies in the Solar System. NATO ASI Series, vol 522. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9221-5_39

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  • DOI: https://doi.org/10.1007/978-94-015-9221-5_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5133-2

  • Online ISBN: 978-94-015-9221-5

  • eBook Packages: Springer Book Archive

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