Abstract
Using Laskar’s Frequency Map Analysis, we have performed a complete study of the dynamics of massless particles in the Solar System, from Mercury to the outer parts of the Kuiper belt, for all values of the eccentricities. This provides a complete dynamical map of the Solar System which is, in this first step, restricted to mean motion resonances. The same method is also applied to the planetary 3-body system composed of the Sun, Jupiter and Saturn.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Holman, M. and Wisdom, J.: 1993, ‘Dynamical stability in the outer Solar System and the delivery of short period comets’., Astron. J. 105, 1987–1999.
Laskar, J.: 1990, ‘The chaotic motion of the Solar System. A numerical estimate of the size of the chaotic zones’., Icarus 88, 266–291.
Laskar, J.: 1999, ‘Introduction to frequency map analysis’, In NATO ASI Hamiltonian Systems with Three or More Degrees of Freedom (C. Simb, Ed.), pp. Kluwer, Dordrecht. 134–150.
Levison, H. and Duncan, M.: 1993, ‘The gravitational sculpting of the Kuiper Belt’., Astrophys. J. 406, L035–038.
Robutel, P.: 1993, ‘Contribution à l’étude de la stabilité du problème planétaire des trois corps’, Ph.D. Thesis, Observatoire de Paris.
Robutel, R. and Laskar, J.: 2000, ‘Frequency Map and Global Dynamics in the Solar System I: Short Period Dynamics of Massless Particles’, Submitted to Icarus.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Robutel, P., Laskar, J. (2001). Global Dynamics in the Solar System. In: Pretka-Ziomek, H., Wnuk, E., Seidelmann, P.K., Richardson, D.L. (eds) Dynamics of Natural and Artificial Celestial Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1327-6_33
Download citation
DOI: https://doi.org/10.1007/978-94-017-1327-6_33
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5865-2
Online ISBN: 978-94-017-1327-6
eBook Packages: Springer Book Archive