Dynamics of the Star S0‐1 and the Nature of the Compact Dark Object at the Galactic Center

Abstract
It has recently been shown that analysis of the orbits of the fast-moving stars close to Sgr A* provides a valuable tool to probe the gravitational potential near the Galactic center. As an example, we present here the results of a calculation of possible orbits of the star S0-1 in both the black hole and the degenerate neutrino ball scenarios of the central mass, based on the recent measurements of stellar proper motions at the Galactic center by Ghez et al. Taking into account the error bars of their analysis, it is shown that within a few years, the orbit of S0-1 may indeed reveal the nature of the supermassive compact dark object at the Galactic center.
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