The origin and evolution of the great resonance in the Jovian satellite system

Details The origin and evolution of the great resonance in the Jovian satellite system The origin and evolution of the great resonance in the Jovian satellite system

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981aj.....86..611w&link_type=abstract

Astronomical Journal, vol. 86, Apr. 1981, p. 611-618.

Astronomy and Astrophysics

Astronomy

4

Four Body Problem, Galilean Satellites, Jupiter (Planet), Orbital Mechanics, Planetary Evolution, Resonance, Solar Orbits, Adiabatic Equations, Europa, Floquet Theorem, Ganymede, Io, Libration, Numerical Integration, Systems Stability, Tides, Jupiter, Satellites, Resonance, Origin, Evolution, Orbits, Tidal Effects, Librations, Amplitude, Oscillations, Dynamics

Scientific paper

The problem of the creation and subsequent evolution of the great resonance among the three inner Galilean satellites of Jupiter is studied by using a periodic orbit/Floquet reference solution to the dynamics. It is shown that the only instability the system can experience is associated with the great libration. By numerically integrating an unstable periodic orbit, the resonant state which preceded the periodic orbit is characterized. A second numerical experiment demonstrates that this resonant state can be directly entered under the influence of tidal forces, without the prior formation of an individual 2:1 resonance pair. Finally, the method of adiabatic invariants is used to prove that tidal evolution after capture will reduce the amplitude of the great libration to zero. These results enable the assembly of a complete description of the origin and evolution of the great resonance.

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