Optimized fifth order symplectic integrators for orbital problems

• Kostas Tselios ^[1] ; T. E. Simos ^[2]
  1. [1] University of Peloponnese

     University of Peloponnese

     Dimos Tripoli, Grecia

     
  2. [2] Department of Mathematics, College of Sciences, King Saud University, Saudi Arabia and Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, Tripolis, Greece. Active Member of the European Academy of Sciences and Arts. Active Member of the European Academy of Sciences. Corresponding Member of European Academy of Arts, Sciences and Humanities
• Localización: Revista mexicana de astronomía y astrofísica, ISSN-e 0185-1101, Vol. 49, Nº. 1, 2013, págs. 11-24
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Se presenta un integrador simpléctico optimizado de quinto orden. El desarrollo de este nuevo esquema se basa en: (1) un nuevo conjunto de condiciones para los esquemas simplécticos de paso k hasta de quinto orden, y (2) el error mínimo. Los resultados numéricos muestran la eficiencia del método propuesto.

  • English

    In this paper an optimized fifth algebraic order symplectic integrator is produced. The development of the new scheme is based: (1) on a new set of conditions for symplectic k–step schemes with order up to five and (2) on the minimum error. The numerical results show the efficiency of the proposed method.