ABSTRACT de GHIL, VARADI and KAULA
proposed as oral communication

The great inequality 
and collective frequency doubling 
in the secular motion of the jovian planets

M. Ghil, F., Varadi, W.M. Kaula
University of California, Los Angeles

Abstract:
The Jupiter-Saturn 2:5 resonance, the so-called Great Inequality, and
the secular motion of the Jovian planets are investigated using Hamiltonian
perturbation theory and numerical integrations. The system exhibits
unexpectedly large changes when the mass of Uranus is changed by a
few percent. The phenomenon is a collective frequency-doubling bifurcation. 
It is common to the joint motion of the Jovian planets because there are
only negligible changes when the system is viewed in a frame which
co-rotates with the diagonalized Jupiter contribution to the quadratic part 
of the secular Hamiltonian. Implications for global chaos in the Solar System
and long-term computations of planetary motion will be discussed.

Ghil Michael
Dept of Atmospheric Sciences
University of California
7127 Math Sciences Building
Los Angeles, California 90024-1565
USA
telephone: (1) 310-206-0651
fax: (1) 310-206-5219
e-mail: ghil@atmos.ucla.edu