Dynamic coupling of periodic systems: Application to an n-body planetary-type problem - Resonances

Details Dynamic coupling of periodic systems: Application to an n-body planetary-type problem - Resonances Dynamic coupling of periodic systems: Application to an n-body planetary-type problem - Resonances

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977a%26a....59..337s&link_type=abstract

Astronomy and Astrophysics, vol. 59, no. 3, Aug. 1977, p. 337-347. In French.

Astronomy and Astrophysics

Astrophysics

8

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

Scientific paper

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.

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