Chaotic behaviour of trajectories for the asteroidal resonances

Details Chaotic behaviour of trajectories for the asteroidal resonances Chaotic behaviour of trajectories for the asteroidal resonances

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56..143s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 1-2, p. 143-152.

Mathematics

7

Chaos, Orbital Resonances (Celestial Mechanics), Solar Orbits, Hamiltonian Functions, Jupiter (Planet), Perihelions, Planetary Orbits, Transformations (Mathematics)

Scientific paper

Mapping techniques based on the truncated Hamiltonian method for the planar, elliptic, restricted three-body problem are used to perform a systematic study of third- and fourth-order resonances. Each resonance is described by 1D family of the section surface and a simple energy graph which makes it posssible to predict the changes in the section surfaces within a family.

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