Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..157b&link_type=abstract
(Conference on Mathematical Methods in Celestial Mechanics, 6th, Oberwolfach, West Germany, Aug. 14-19, 1978.) Celestial Mechani
Astronomy and Astrophysics
Astronomy
6
Asteroids, Jupiter (Planet), Resonance, Solar System, Three Body Problem, Astrodynamics, Motion Stability, Orbital Mechanics, Periodic Functions
Scientific paper
In the planar elliptic problem sun-Jupiter-massless body the resonances of mean motion 3/2, 2/1, 7/3, and 1/3 are considered. Short-period effects are eliminated by Schubart's averaging method. Applying a minimization technique, stationary solutions can be found in the given resonance cases. Some of these solutions are well-known as periodic solutions in the rigorous (i.e., unaveraged) restricted problem. The construction in a numerical way of a linearized theory of motion around a stationary solution is illustrated, and results are presented.
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