  I examine the effectiveness of Kozai oscillations in the centres of galaxies
and in particular the Galactic centre using standard techniques from celestial
mechanics. In particular, I study the effects of a stellar bulge potential and
general relativity on Kozai oscillations, which are induced by stellar discs.
Lockmann et al (2008) recently suggested that Kozai oscillations induced by the
two young massive stellar discs in the Galactic centre drives the orbits of the
young stars to large eccentricity ($e\approx 1$). If some of these young
eccentric stars are in binaries, they would be disrupted near pericentre,
leaving one star in a tight orbit around the central SMBH and producing the
S-star population. I find that the {\it spherical} stellar bulge suppresses
Kozai oscillations, when its enclosed mass inside of a test body is of order
the mass in the stellar disc(s). Since the stellar bulge in the Galactic centre
is much larger than the stellar discs, Kozai oscillations {\it due to the
stellar discs} are likely suppressed. Whether Kozai oscillations are induced
from other nonspherical components to the potential (for instance, a flattened
stellar bulge) is yet to be determined.

Astrophysics