Mathematics – Dynamical Systems
Scientific paper
Jul 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987aj.....94..208f&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 94, July 1987, p. 208-212. Research supported by the Fundacao de Amparo a Pesquisa d
Mathematics
Dynamical Systems
16
Asteroids, Astronomical Models, Elliptical Orbits, Jupiter (Planet), Resonance, Dynamical Systems, Equations Of Motion, Two Body Problem, Asteroids, Resonance, Technique, Motion, Celestial Mechanics, Models, Gravity Effects, Asteroid Belt, Oscillations, Calculations, Libration
Scientific paper
A derivation of a completely integrable dynamical system that represent the averaged motion of an asteroid moving in a first-order resonance with Jupiter is presented. In this system Jupiter lies on an elliptic orbit and the model is more suited for the analysis of the gravitational phenomena in the asteroidal belt than classical integrable models imposing a circular motion on Jupiter. The model reproduces the coupling of oscillations found in numerical calculations and may be used as an intermediate orbit in averaging methods, as well as in studying the motion of resonant asteroids and the motion of small planetary satellites or ring particles involved in first-order resonance with a large satellite.
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