Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..54...91e&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 54, no. 1-3, p. 91-110.
Astronomy and Astrophysics
Astronomy
6
Comets, Eccentric Orbits, Orbital Elements, Orbital Resonances (Celestial Mechanics), Three Body Problem, Equations Of Motion, Gravitational Effects, Meteoroid Showers
Scientific paper
Attention is given to methods for investigating the evolution of orbits with large eccentricities and to the role of resonances in the motion of comets. The expansion of the disturbing function in the restricted three-body problem is obtained for cometary orbits. The method is based on the proximity of cometary eccentricities to 1. The Hamiltonian describing the basic perturbations in the motion of long-period comets is constructed. The long-term evolution of short-period comets is considered. The analytical dependence of the diffusion rate on the orbital elements of nearly parabolic comets is found. A numerical study of cometary dynamics using mappings is carried out. The variation of the partial density of meteor streams is studied. For the case of librations the dispersion speed of meteor streams under the action of planetary perturbations is substantially less than that for the case of typical chaos. The similarity between the observed structure of the meteor streams and resonant properties of the motion is discussed.
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