Simple pairs potential-density for flat rings
Patricio S. Letelier
TL;DR
This paper introduces elementary function-based potential-density pairs for modeling flat ring structures, analyzing their stability and configurations such as concentric rings and disks with rings.
Contribution
It presents new simple potential-density pairs for flat rings and studies their stability and configurations, expanding modeling options for flat ring systems.
Findings
Elementary potential-density pairs for flat rings are derived.
Stability of circular orbits in flat ring structures is analyzed.
Configurations include concentric rings and disks with 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.
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