Algebraic mapping near a resonance with an application to asteroid motion.

Details Algebraic mapping near a resonance with an application to asteroid motion. Algebraic mapping near a resonance with an application to asteroid motion.

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ltdb.conf..257h&link_type=abstract

NATO Advanced Study Institute on Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems, p. 257 - 276

Physics

5

Minor Planets: Orbit Theory

Scientific paper

A method is presented to obtain an algebraic mapping for a Hamiltonian system with two degrees of freedom near a resonance. The theory of adiabatic invariants in Hamiltonian systems with a slowly varying parameter is extended to mappings of the above type. This method is used to study the evolution of asteroid orbits on passage through a resonance as the energy decreases slowly. Sudden changes of the orbital elements are observed in certain cases and these can be related to the generation of gaps. A phenomenon of magnificant of the effects of a small chaotic region is also observed.

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