Dynamics of Systems of Two Close Planets

摘要: Abstract In connection with the study of newly formed protoplanetary embryos in early Solar System, we dynamics a pair interacting planets orbiting Sun. By examining topological stability three-body problem, one finds that for initially circular planetary orbits system will be Hill stable (that is, against close approaches all time) if fractional orbital separation Δ > 2.4(μ 1 + μ 2 ) 1/3 , where and are mass ratios two to The validity this condition is supported by numerical integrations. chaotic these systems investigated. A region bound chaos exterior Hill-stable zone demonstrated. implications accretion, current pulsar planet PSR 1257 12, discussed.