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It has been recently shown (Munyaneza, Tsiklauri and Viollier 1998) that theanalysis of the orbits of the fast moving stars close to Sgr A$^{*}$ (Eckartand Genzel 1997) provides a valuable tool to probe the gravitational potentialnear the Galactic center. As an example, we present here the results on acalculation of possible orbits of the star S0-1 in both, the black hole anddegenerate neutrino ball scenarios of the central mass, based on the recentmeasurements of stellar proper motions at the Galactic center by Ghez et al.1998. Taking into account the error bars of their analysis, it is shown thatwithin a few years time, the orbit of S0-1 may indeed reveal the nature of thesupermassive compact dark object at the Galactic center.Comment: 11 pages, 10 figure

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