Mathematics – Logic
Scientific paper
Nov 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993icar..106..247g&link_type=abstract
Icarus, vol. 106, p. 247
Mathematics
Logic
187
Protoplanets, Planetary Evolution, Planetary Mass, Eccentric Orbits, Chaos, Embryos, Solar System, Pulsars
Scientific paper
The present study of the dynamics of two interacting planets orbiting a sun proceeds by examining the topological stability of the three-body problem; for initially circular planetary orbits, the system will be Hill stable, as is supported by numerical integrations. The chaotic dynamics of these systems is investigated, and a region of bound chaos outside the Hill-stable zone is noted. The implications of these findings for planetary accretion, the current solar system, and the pulsar planet system PSR 1257+12, are probed.
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