Titlebook: A Comparison of the Dynamical Evolution of Planetary Systems; Proceedings of the S Rudolf Dvorak,Sylvio Ferraz-Mello Conference proceedings

进步

Work, Family, and Their Intersectionimulations of the Trojans in the Sun, Jupiter, Saturn system and on the frequency analysis of these orbits. We give some initial results in the description of the resonant structure that guides the long-term dynamics of this region. Moreover, we are able to connect this global view of the phase spac

INERT

凶残

https://doi.org/10.1007/978-3-319-39835-8heir osculating Keplerian elements. The method is based on a new resonant Lie-series perturbation theory (Ferraz-Mello, 1997, 2002), which allows the construction of formal solutions in cases where resonant and long-period angles appear simultaneously. For the disturbing function, we used the Beaugé

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ordain

Accord

https://doi.org/10.1007/978-94-011-4603-6onant motion corresponds to periodic motion of the two planets, in a rotating frame, and the position and stability properties of the periodic orbits determine the topology of the phase space and consequently play an important role in the evolution of the system. Several families of symmetric period

Alpha-Cells

Albert Prodan,Andrzej Budkowskih smooth center, called SC model. The second model, called CM model, is derived from the SC by inserting a central mass in it, so that all possible differences between the two models are due to the effect of the central mass. The central mass is assumed to be mainly due to a massive central black ho

导师

G. Cioni,A. Colagrossi,A. Miolaits, (b) the asymptotic orbits, with particular emphasis on the homoclinic and heteroclinic orbits, and (c) the basins of attraction of the two black holes. The orbits falling on M. and M. form fractal sets. The asymptotic curves consist of many arcs, separated by gaps. Every gap contains orbits fal

fender

S. Antoy,P. Forcheri,J. Gannon,M. T. Molfinoew and useful forms of the virial theorem are obtained for natural Hamiltonian flows of arbitrary dimension. A discrete virial theorem is derived for invariant circles and periodic orbits of natural symplectic maps. A weak and a strong form of the virial theorem are proven for both flows and maps. W

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An overview of the TASSO projectiously studied Hamiltonian case (Lega et al., 2003) results agree with the prediction of the Nekhoroshev theorem. Moreover, for values of the perturbation parameter slightly below the critical value of the transition between Nekhoroshev and Chirikov regime we have also found a diffusion of some orbi