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Numerical integration of an orbit and its concomitant variations by recurrent power series

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Résumé

Lorsqu'il s'agit de calculer tout en une fois une orbite et la résolvante de ses équations aux variations dans le problème restreint des trois corps, l'intégration par séries de puissances récurrentes s'avère nettement plus avantageuse que d'autres procédés numériques. A précision égale, les développements en séries ne prennent que 30% du temps mis par les méthodes à pas multiples, et seulement 12 à 15% du temps employé par la méthode deRunge-Kutta-Nystrom.

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Authors and Affiliations

  1. Boeing Scientific Research Laboratories, Seattle, Washington, USA

    André Deprit

  2. Computer Sciences Department, Purdue University, West Lafayette, Indiana, USA

    R. V. M. Zahar

Authors
  1. André Deprit
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  2. R. V. M. Zahar
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Deprit, A., Zahar, R.V.M. Numerical integration of an orbit and its concomitant variations by recurrent power series. Journal of Applied Mathematics and Physics (ZAMP) 17, 425–430 (1966). https://doi.org/10.1007/BF01594535

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  • DOI: https://doi.org/10.1007/BF01594535

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