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New Runge-Kutta algorithms for numerical simulation in dynamical astronomy

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Abstract

Some new Runge-Kutta and Runge-Kutta-Nystrom algorithms are presented for the solution of ordinary differential equations of the initial value type. The methods are compared with others in integrating the equations of motion of the two body problem and are shown to offer advantages in efficiency. It is also demonstrated that the new methods can be ‘tuned’ to achieve some measure of global error control.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Teesside Polytechnic, TS1 3BA, Middlesbrough, Cleveland, UK

    J. R. Dormand & P. J. Prince

Authors
  1. J. R. Dormand
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  2. P. J. Prince
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Dormand, J.R., Prince, P.J. New Runge-Kutta algorithms for numerical simulation in dynamical astronomy. Celestial Mechanics 18, 223–232 (1978). https://doi.org/10.1007/BF01230162

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  • DOI: https://doi.org/10.1007/BF01230162

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