Other
Scientific paper
Aug 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984icar...59..221m&link_type=abstract
Icarus (ISSN 0019-1035), vol. 59, Aug. 1984, p. 221-233. Research supported by the Science and Engineering Research Council of E
Other
40
Asteroids, Jupiter (Planet), Resonance, Sun, Three Body Problem, Eccentricity, Equations Of Motion, Mapping, Orbits, Trajectories, Jupiter, Resonance, Structure, Comparisons, Analysis, Asteroids, Motion, Techniques, Equations Of Motion, Mappping, Eccentricity, Data, Oscillations, Orbits, Parameters, Calculations, Models, Trajectories
Scientific paper
The motion of asteroids near the 3:1 Jovian resonance in the restricted planar case is studied using three numerical methods: (1) integrating the full equations of motion, (2) integrating the averaged equations of motion, and (3) using an algebraic mapping recently developed by Wisdom (1982). The relative merits of each method are investigated. It is concluded that in the regular regions of the phase space, methods (2) and (3) give excellent agreement with each other. In chaotic regions of the phase space there is little agreement between the orbital elements at any given time calculated by each method. However, all methods reflect the qualitative behavior of the chaotic trajectories and give good agreement on the bounds of the motion.
Fox Kyle
Murray Carl D.
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