  Astrometric observations of S-stars provide a unique opportunity to probe the
nature of Sagittarius-A* (Sgr-A*). In view of this, it has become important to
understand the nature and behavior of timelike bound trajectories of particles
around a massive central object. It is known now that whereas the Schwarzschild
black hole does not allow the negative precession for the S-stars, the naked
singularity spacetimes can admit the positive as well as negative precession
for the bound timelike orbits. In this context, we study the perihelion
precession of a test particle in the Kerr spacetime geometry. Considering some
approximations, we investigate whether the timelike bound orbits of a test
particle in Kerr spacetime can have negative precession. In this paper, we only
consider low eccentric timelike equatorial orbits. With these considerations,
we find that in Kerr spacetimes, negative precession of timelike bound orbits
is not allowed.
