TITLE:
The Yukawa and Exponential Potentials for a Galaxy’s Spherical Central Bulge*
AUTHORS:
José Luis Garrido Pestaña
KEYWORDS:
Galaxies: Kinematics and Dynamics, Gravitation, General Physics (Physics Education)
JOURNAL NAME:
Journal of Modern Physics,
Vol.14 No.13,
December
27,
2023
ABSTRACT: By adding an extra term to the Newtonian potential, matter outside the orbit of a star adds to the gravitational acceleration acting on that star. In this work, we solve the Poisson equation for non-Newtonian potentials of a spherically symmetric distribution of mass. We derive equations for calculating the centripetal acceleration and velocity of galactic disk stars that are due to the Newtonian and exponential potentials of the galaxy’s central bulge.