The Open Astronomy Journal

2012, 5 : 54-60
Published online 2012 October 18. DOI: 10.2174/1874381101205010054
Publisher ID: TOAAJ-5-54

Dynamical Behavior in the Vicinity of a Circular Anisotropic Ring

Nour-Eddine Najid , Mohammed Zegoumou and El Haj Elourabi
Equipe Mecanique Statistique et Astronomie Laboratoire de Physique Theorique et Appliquee Universite Hassan II Ain Chock- Faculte des Sciences Ain Chock BP 5366, Maârif Casablanca, Morocco.

ABSTRACT

Motivated by the variety of rings around planets in our solar system, and arguably in other planetary systems as well, we will analytically treat the venerable problem of investigating the potential of a massive annular distribution. In a first approximation, we can consider the mass distribution as homogenous. Actually, a more realistic model should take into account the non-isotropy of density.In this work, we establish an analytical elliptic form of the potential generated by an anisotropic matter distribution. The study of the dynamical behavior is performed within the Hamiltonian formulation, which allows us to derive some orbits of the test particle.

Keywords:

Potential, Anisotropic Distribution, Rings.