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