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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

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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