Hamiltonian Description of Streamline Formalism with Application in Planetary Rings

Details Hamiltonian Description of Streamline Formalism with Application in Planetary Rings Hamiltonian Description of Streamline Formalism with Application in Planetary Rings

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..62...99z&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 62, Issue 1, pp.99-109

Astronomy and Astrophysics

Astronomy

1

Planetary Rings, Epicyclic Motion, Dynamical Evolution, Mapping, Satellite Dynamics

Scientific paper

We propose the Hamiltonian description of the streamline formalism, which includes: (a) the canonical elements for the unperturbed epicyclic motion and (b) the perturbation equations when the streamlines are perturbed both by conservative and dissipative forces. As an application to planetary ring dynamics, we use the Hamiltonian description to derive a mapping system for the self-gravity model of elliptical rings. The canonical epicyclic elements are also useful in satellites dynamics when the oblateness of the central body is the main perturbation.

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