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• W2083641621 abstract "We study the dynamics of planetary systems with two planets moving in the same plane, when frictional forces act on the two planets, in addition to the gravitational forces. The model of the general three-body problem is used. Different laws of friction are considered. The topology of the phase space is essential in understanding the evolution of the system. The topology is determined by the families of stable and unstable periodic orbits, both symmetric and non symmetric. It is along the stable families, or close to them, that the planets migrate when dissipative forces act. At the critical points where the stability along the family changes, there is a bifurcation of a new family of stable periodic orbits and the migration process changes route and follows the new stable family up to large eccentricities or to a chaotic region. We consider both resonant and non resonant planetary systems. The 2/1, 3/1 and 3/2 resonances are studied. The migration to larger or smaller eccentricities depends on the particular law of friction. Also, in some cases the semimajor axes increase and in other cases they are stabilized. For particular laws of friction and for special values of the parameters of the frictional forces, it is possible to have partially stationary solutions, where the eccentricities and the semimajor axes are fixed." @default.
• W2083641621 created "2016-06-24" @default.
• W2083641621 creator A5005219905 @default.
• W2083641621 creator A5050369783 @default.
• W2083641621 date "2010-03-15" @default.
• W2083641621 modified "2023-09-25" @default.
• W2083641621 title "On the dynamics of extrasolar planetary systems under dissipation: Migration of planets" @default.
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• W2083641621 doi "https://doi.org/10.1007/s10569-010-9260-z" @default.
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