Métodos multi-revolución simétricos para propagación de órbitas en intervalos grandes de tiempo

• Localización: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 1132-6360, Nº. 23, 2003 (Ejemplar dedicado a: Técnicas analíticas y numéricas en dinámica orbital) , págs. 55-66
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• Resumen

  • As it has been proved, the use of numerical propagators with some properties of symmetry, like symplectic and symmetric linear multi-step methods, is a good practice in the numerical propagation of orbital problems. In the other hand, multirevolution methods are good candidates for the long-time propagation of quasiperiodic problems. In this paper, we construct multi-revolution methods with some properties of symmetry, based on linear multi-step methods, and with arbitrary order of convergence. We study some of its properties of order. We also perform some comparison with the classical multi-revolution methods for several well-known problems, the perturbed harmonic oscillator and the perturbed Kepler problem formulated in such variables that the equations of motion are regularized and linearized what gives a smaller increment of the errors.