Rotation curve of the Milky Way and the mass of Sagittarius A*

TL;DR

This paper derives an analytical model for galaxy rotation curves, applying it to the Milky Way to estimate the central object's mass and radius, aligning with existing literature.

Contribution

It introduces an analytical expression for mass density based on observed rotation curves, specifically applied to the Milky Way.

Findings

Estimated mass of Sagittarius A* matches literature values

Derived radius of the central object is consistent with previous studies

Provided a new analytical approach for galaxy rotation curve analysis

Abstract

In the present work we derive an analytical expression for the mass density of an object with spherical symmetry, whose corresponding potential allows obtaining a circular velocity around it that is in agreement with the observed rotation curve of galaxies. The rotation curve of our galaxy is analyzed, determining the properties of the central object, its radius and mass whose value obtained is very close to that reported in the literature.