  Theoretical and observational studies suggest that stellar binaries exist in
large numbers in galactic nuclei like our own Galactic Center. Neutron stars
(NSs), and debatedly, black holes (BHs) and white dwarfs (WDs), receive natal
kicks at birth. In this work we study the effect of two successive natal kicks
on a population of stellar binaries orbiting the massive black hole (MBH) in
our Galactic Center. These natal kicks can significantly alter the binary orbit
in a variety of ways, and also the orbit of the binary around the MBH. We found
a variety of dynamical outcomes resulting from these kicks, including a steeper
cusp of single NSs relative to the initial binary distribution. Furthermore,
hypervelocity star and binary candidates, including hypervelocity X-ray
binaries, are a common outcome of natal kicks. In addition, we show that the
population of X-ray binaries in the Galactic Center can be used as a diagnostic
for the BH natal kick distribution. Finally, we estimate the rate of
gravitational wave (GW) events triggered by natal kicks, including binary
mergers and EMRIs.
