Original Paper

A Symplectic Trigonometrically Fitted Modified Partitioned Runge-Kutta Method for the Numerical Integration of Orbital Problems

  1. Z. Kalogiratou1,
  2. Th. Monovasilis1,2,
  3. T. E. Simos2,†,*

Article first published online: 24 NOV 2005

DOI: 10.1002/anac.200510037

Issue

Applied Numerical Analysis & Computational Mathematics

Applied Numerical Analysis & Computational Mathematics

Volume 2, Issue 3, pages 359–364, December 2005

Additional Information

How to Cite

Kalogiratou, Z., Monovasilis, Th. and Simos, T. E. (2005), A Symplectic Trigonometrically Fitted Modified Partitioned Runge-Kutta Method for the Numerical Integration of Orbital Problems. Appl. numer. anal. comput. math., 2: 359–364. doi: 10.1002/anac.200510037

Author Information

  1. 1

    Department of International Trade, Technological Educational Institute of Western Macedonia at Kastoria, P.O. Box 30, GR-521 00, Kastoria, Greece

  2. 2

    Department of Computer Science and Technology, Faculty of Science and Technology, University of Peloponnessos

  1. †

    Active member of the European Society of Arts and Sciences

*26 Menelaou Street, Amfithea – Paleon Faliron, GR-175 64 Athens, GREECE, Fax: ++ 301 94 20 091

Publication History

  1. Issue published online: 24 NOV 2005
  2. Article first published online: 24 NOV 2005
  3. Manuscript Accepted: 25 JUL 2005
  4. Manuscript Revised: 17 JUL 2005
  5. Manuscript Received: 25 JUN 2005

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Keywords:

  • Symplectic integration,Hamiltonian systems,partitioned Runge-Kutta methods, trigonometrically fitted methods

Abstract

The numerical integration of Hamiltonian systems by symplectic modified partitioned Runge-Kutta methods with the trigonometrically fitted property is considered in this paper. We construct new symplectic modified Runge-Kutta method of second order with the trigonometrically fitted property. We apply our new method as well as other existing methods to the numerical integration of the harmonic oscillator, the two dimensional harmonic oscillator, the two-body problem and an orbit problem studied by Stiefel and Bettis. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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