Regular Article - Theoretical Physics
Effective potentials and orbits in Weyl slender disk
Universidade Federal do Paraná, 85950-000, Palotina, PR, Brazil
2 Applied Physics Graduation Program, UNILA, 85867-670, Foz do Iguaçu, PR, Brazil
Accepted: 28 February 2022
Published online: 24 March 2022
By using geodesic equations to obtain a gravitational potential generated from an initially point-like source, we end up in the concept of a nearly Newtonian gravity to analyse effective potentials of quasi-circular orbits. By means of an approximate solution from an axially static and symmetric Weyl metric, we provide a numerical study on effective gravitational potential to investigate the character of motion in the meridional plane of an axially symmetric galaxy model obtaining periodic regular box orbits. Moreover, as a test for a toy model and using as initial condition a Plummer sphere, some initial prospects on star N-body simulation of cluster disruption were obtained for clusters with mass about . In the studied cases, our results suggest that such disruptions are caused mostly by their gravitational processes than baryonic content in accordance with CDM bottom-up hierarchy.
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