Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-14T17:24:48.956Z Has data issue: false hasContentIssue false
  • English
  • Français

On the secular motion of the jovian planets

Published online by Cambridge University Press:  25 May 2016

M. Ghil ,
F. Varadi  and
W. M. Kaula
M. Ghil
Affiliation:
IGPP, University of California, Los Angeles, CA 90095-1567
F. Varadi
Affiliation:
IGPP, University of California, Los Angeles, CA 90095-1567
W. M. Kaula
Affiliation:
IGPP, University of California, Los Angeles, CA 90095-1567

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The motion of the Jovian planets is investigated using Hamiltonian perturbation theory and numerical integrations. Experiments varying the mass of Neptune exhibit 1:1 secular resonance between the perihelion motions of Jupiter and Uranus.

Type
Part II - Planets and Moon: Theory and Ephemerides
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 57 - 60
Copyright
Copyright © Kluwer 1996 

References

Duncan, M. J. and Quinn, T.: 1993, ‘The long-term dynamical evolution of the Solar System’, Annu. Rev. Astron. Astrophys., 31, 265 CrossRefGoogle Scholar
Laskar, J.: 1990, ‘The chaotic motion of the Solar System: a numerical estimate of the size of the chaotic zones’, Icarus, 88, 266–291 CrossRefGoogle Scholar
Quinn, T. Q., Tremaine, S. and Duncan, M.: 1991, ‘A three million year integration of the Earth's orbit’, Astron. J., 101, 2287–2305 CrossRefGoogle Scholar
Sussman, G. J. and Wisdom, J.: 1992, ‘Chaotic evolution of the Solar System’, Science, 256–257 CrossRefGoogle Scholar
Varadi, F., Ghil, M. and Kaula, W. M.: 1995, ‘The Great Inequality in a Hamiltonian planetary theory’, in From Newton to Chaos, Roy, A. E. and Steves, B. A. (eds.), Plenum Publ. Co., 103–108 CrossRefGoogle Scholar
Wisdom, J. and Holman, M.: 1991, ‘Symplectic maps for the N-body problem’, Astron. J., 102, 1528–1538 CrossRefGoogle Scholar