  Compact stellar binaries are expected to survive in the dense environment of
the Galactic Center. The stable binaries may undergo Kozai-Lidov oscillations
due to perturbations from the central supermassive black hole (Sgr A*), yet the
General Relativistic precession can suppress the Kozai-Lidov oscillations and
keep the stellar binaries from merging. However, it is challenging to resolve
the binary sources and distinguish them from single stars. The close separation
of the stable binaries allow higher eclipse probabilities. Here, we consider
the massive star SO2 as an example and calculate the probability of detecting
eclipses, assuming it is a binary. We find that the eclipse probability is ~
30-50%, reaching higher values when the stellar binary is more eccentric or
highly inclined relative to its orbit around Sgr A*.
