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Dynamics of Two Planets in the 3/2 Mean-motion Resonance: Application to the Planetary System of the Pulsar PSR B1257+12
Authors:N. Callegari Jr  S. Ferraz-Mello  T. A. Michtchenko
Affiliation:(1) DEMAC, UNESP, Av. 24A, Rio Claro, Brasil;(2) Instituto de Astronomia, Geofí sica e Ciências Atmosféricas, Universidade de São Paulo, Rua do Matão, 1226 São Paulo, Brasil
Abstract:
This paper considers the dynamics of two planets, as the planets B and C of the pulsar PSR B1257+12, near a 3/2 mean-motion resonance. A two-degrees-of-freedom model, in the framework of the general three-body planar problem, is used and the solutions are analyzed through surfaces of section and Fourier techniques in the full phase space of the system.On the possibility of existence of a fourth planet in distant orbit, see Wolszczan et al., 2000
Keywords:Chaos  Extra-solar planets  Planetary systems  Pulsar planets  Resonance
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