Dynamical coupling of periodic systems.
Abstract
Haag's (1948, 1950) theory of synchronization is extended to the study of periodic solutions of the planetary problem. Dynamical equations and associated equations for an imperturbed system are introduced, and an expression for the ratio of periods obtained from the two kinds of equations is derived. The theory is applied to the case of Jupiter's Galilean satellites. The role of the flattening of a planet is also considered.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 August 1977
 Bibcode:
 1977A&A....59..337S
 Keywords:

 Celestial Mechanics;
 Galilean Satellites;
 Many Body Problem;
 Orbital Mechanics;
 Planetary Orbits;
 Resonance;
 Coupling;
 Equations Of Motion;
 Gravitational Effects;
 Jupiter (Planet);
 Orbit Perturbation;
 Periodic Functions;
 Solar Orbits;
 Lunar and Planetary Exploration