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Frequency Map and Global Dynamics in Planetary systems: Short Period Dynamics

Published online by Cambridge University Press:  26 May 2016

Philippe Robutel  and
Jacques Laskar
Philippe Robutel
Affiliation:
Astronomie et Systèmes Dynamiques, IMC, CNRS UMR 8028, 77 av Denfert-Rochereau, 75014, Paris, France
Jacques Laskar
Affiliation:
Astronomie et Systèmes Dynamiques, IMC, CNRS UMR 8028, 77 av Denfert-Rochereau, 75014, Paris, France

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Frequency Map Analysis (FMA) (Laskar, 1990, 1999) is a refined numerical method based on Fourier techniques which provide a clear representation of the global dynamics of multi-dimensional systems, which is very effective for systems of 3 degrees of freedom and more, and was applied to a large class of dynamical systems. FMA requires only a very short integration time to obtain a measure of the diffusion of the trajectories, and allows to identify easily the location of the main resonances. Using this method, we have performed a complete analysis of massless particles in the Solar System (Robutel & Laskar 2001), from Mercury to the outer parts of the Kuiper belt (90 AU), for all values of the eccentricities, and several values for the inclinations. This provides a complete dynamical map of the Solar System, which is, in this first step, restricted to mean motion resonances. The dynamics of a planetary system which all the bodies have no zero mass can be studied with the same methods: an application to the JupiterSaturn system can be fined in (Robutel & Laskar 2002). We present here the application of this method to the understanding of the dynamics of the newly discovered v-Andromedae system.

Type
Part II: Progress in the theory of planet formation
Information
Symposium - International Astronomical Union , Volume 202: Planetary Systems in the Universe – Observation, Formation and Evolution , 2004 , pp. 235 - 237
Copyright
Copyright © Astronomical Society of the Pacific 2004 

References

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