Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Effective Potentials and Orbits in Weyl Conformastatic Slender Disk

Version 1 : Received: 16 November 2021 / Approved: 18 November 2021 / Online: 18 November 2021 (08:07:10 CET)

How to cite: Capistrano, A.; Kalb, M.C.; Coimbra-Araújo, C.H. Effective Potentials and Orbits in Weyl Conformastatic Slender Disk. Preprints 2021, 2021110318 (doi: 10.20944/preprints202111.0318.v1). Capistrano, A.; Kalb, M.C.; Coimbra-Araújo, C.H. Effective Potentials and Orbits in Weyl Conformastatic Slender Disk. Preprints 2021, 2021110318 (doi: 10.20944/preprints202111.0318.v1).

Abstract

By using geodesic equations to obtain a gravitational potential generated from a 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 study an effective gravitational potential to obtain its related rotation curves, orbital planes and orbits. Moreover, using as initial condition a Plummer sphere, some prospects on star cluster disruption are also discussed in this framework.

Keywords

Nearly newtonian limit; gravitation; stars; clusters

Subject

PHYSICAL SCIENCES, Astronomy & Astrophysics

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