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Revista mexicana de astronomía y astrofísica
Print version ISSN 0185-1101
Rev. mex. astron. astrofis vol.49 n.1 Ciudad de México Apr. 2013
Articles
Optimized fifth order symplectic integrators for orbital problems
Kostas Tselios1 and T. E. Simos1,2
1 Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, GR221 00 Tripolis, Greece.
2 Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia and Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, GR221 00 Tripolis, Greece. (tsimos.conf@gmail.com). Please use the following address for all correspondence: Dr. T. E. Simons, 10 Konitsis Street, Amfithea - Paleon Faliron, GR-175 64 Athens, Greece.
Received 2012 June 27.
Accepted 2012 September 3.
RESUMEN
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.
ABSTRACT
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 kstep schemes with order up to five and (2) on the minimum error. The numerical results show the efficiency of the proposed method.
Key Words: methods: data analysis methods: miscellaneous methods: numerical.
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