Stellar pop. in the central 0.5pc of the GC. III.

Using high-precision measurements of positions on the sky and proper motions and radial velocities from new observations and the literature, we constrain the orbital parameters for each young star. Our results show two statistically significant substructures: a clockwise stellar disk with 18 candidate stars, as has been proposed before, but with an improved disk membership; and a second, almost edge-on plane of 10 candidate stars oriented east-west on the sky that includes at least one IRS 13 star.

We estimate the eccentricity distribution of each substructure and find that the clockwise disk has <e>=0.39 and the edge-on plane has <e>=0.68. We also perform simulations of each disk/plane with incompleteness and spatially variable extinction to search for asymmetry. Our results show that the clockwise stellar disk is consistent with a uniform azimuthal distribution within the disk.