Gravitational Potentials in Galactic Dynamics
Models and Problems
Keywords:
galactic astronomy, gravitational potential, rotation curveAbstract
This article presents an educational and methodological review of model gravitational potentials used to describe mass distributions in galaxies. Classical spherically symmetric models are considered, including the Plummer, isochrone, power-law, Jaffe, Hernquist, and Navarro–Frenk–White models, as well as the axisymmetric Miyamoto–Nagai model for disk components. Particular attention is paid to the relationship between the potential, the density distribution, and the circular velocity curve. The practical part discusses Olympiad-style problems on the motion of bodies in non-Keplerian potentials, making the material useful for teachers, senior secondary school students, and university students interested in astrophysics and celestial mechanics.
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