Simple pairs potential-density for flat rings

Abstract

Pairs potential-density in terms of elementary functions that represents flat rings structures are presented. We study structures representing one or several concentric flat rings. Also disks surrounded by concentric flat rings are exhibited. The stability of concentrically circular orbits of particles moving on a flat ring structure is analyzed for radial perturbations.

5 pages, 5 figures, RevTex, to appear in MNRAS

References in corpus (2)

• On the Stability of Circular Orbits of Particles Moving around Black Holes Surrounded by Axially Symmetric Structures
• Numerical self-consistent stellar models of thin disks

Cited by in corpus (9)

• Kinetic Theory of Collisionless Self-Gravitating Gases: II. Relativistic Corrections in Galactic Dynamics
• Motion around a Monopole + Ring system: I. Stability of Equatorial Circular Orbits vs Regularity of Three-dimensional Motion
• Analytical Potential-Density Pairs for Flat Rings and Toroidal Structures
• Charged Annular Disks and Reissner-Nordström Type Black Holes from Extremal Dust
• Exact density-potential pairs from complex shifted axisymmetric systems
• Orbital perturbations due to massive rings
• Integrability of motion around galactic razor-thin disks
• Newtonian and General Relativistic Models of Spherical Shells - II
• Relativistic ring models