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Errors in Numerical Integrations and Chaotic Motions

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Dynamics of Comets: Their Origin and Evolution

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 115))

Abstract

The methods to estimate the integration errors, including the effects of truncation, rounding off, and instability of the solutions, are discussed. Polynomial error accumulation depends upon numerical method, stepsize, orbital period and also eccentricity; it is also machine dependent. Comets correspond to the most difficult case of exponentially diverging orbits; however they can be very close to resonant ordered regions.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Universita’ di Pisa, Piazza dei Cavalieri 2, Pisa, I-56100, Italy

    A. Milani & A. M. Nobili

Authors
  1. A. Milani
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  2. A. M. Nobili
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Editor information

Editors and Affiliations

  1. Reparto Planetologia, Istituto di Astrofisico Spaziale — Consiglio Nazionale delle Ricerche, Rome, Italy

    Andrea Carusi  & Giovanni B. Valsecchi  & 

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© 1985 D. Reidel Publishing Company

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Milani, A., Nobili, A.M. (1985). Errors in Numerical Integrations and Chaotic Motions. In: Carusi, A., Valsecchi, G.B. (eds) Dynamics of Comets: Their Origin and Evolution. Astrophysics and Space Science Library, vol 115. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5400-7_19

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  • DOI: https://doi.org/10.1007/978-94-009-5400-7_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8884-8

  • Online ISBN: 978-94-009-5400-7

  • eBook Packages: Springer Book Archive

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