Hamiltonian description of streamline formalism with application in planetary rings

  • Ji-Lin Zhou
  • Yi-Sui Sun
Article

Abstract

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.

Key words

Planetary rings epicyclic motion dynamical evolution mapping satellite dynamics 

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Ji-Lin Zhou
    • 1
  • Yi-Sui Sun
    • 1
  1. 1.Astronomy DepartmentNanjing UniversityNanjingChina

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