A mapping for nonconservative systems |
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| Authors: | R R Cordeiro R S Gomes R Vieira Martins |
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| Institution: | (1) Depto. de Física, Universidade Federal de Viçosa, Viçosa, Brazil;(2) Observatório Nacional, Rua General Jose Cristino, Rio de Janeiro, Brazil |
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| Abstract: | We present a method to construct a mapping for perturbed systems, in which the perturbations do not need to be conservative. We use a variation of Wisdom and Holman's method, where the dissipative term is placed together with the other perturbative terms. The method is applied for two dissipative systems: one including gas drag and the other including Poynting-Robertson drag. We compare the results with those obtained by Malhotra's mapping. Because the dissipative part in our method is treated as a regular perturbative term, there is no need for analytical developments of the nonconservative terms. This is a great advantage in itself and this also allows for a fast performance of the integrator. |
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| Keywords: | mapping dissipative forces |
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