A simple generalization of wisdom's perturbative method |
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| Authors: | Tadashi Yokoyama |
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| Institution: | (1) Departamento de Estatística Matemática Aplicada e Computacional, Universidade Estadual Paulista, Rio Claro, Brazil;(2) Present address: Universidade Estadual Paulista IGCE-DEMAC, Caixa Postal 178, CEP 13500-970 Rio Claro, Estado de São Paulo, Brazil |
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| Abstract: | A simple generalization of Wisdom's perturbative method, as originally proposed by Wisdom (1985), is obtained. Any number of resonant cosines can be handled and the method can also accommodate more involved disturbing functions. Averaged trajectories are easily obtained by drawing level curves of the action. Here, the method is first tested for simple models of 3:1 and 2:1 resonant problems. Comparisons with numerical integration and surface-section curves show very good agreements. |
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| Keywords: | Perturbative methods chaos resonance adiabatic invariant asteroids |
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