  We study the bound orbit conditions for equatorial and eccentric orbits
around a Kerr black hole both in the parameter space ($E$, $L$, $a$)
representing the energy, angular momentum of the test particle, and spin of the
black hole, and also ($e$, $\mu$, $a$) space representing the eccentricity,
inverse-latus rectum of the orbit, and spin. We apply these conditions and
implement the relativistic precession (RP) model to M82X-1, which is an
Intermediate-mass black hole (IMBH) system, where two high-frequency
Quasi-Periodic Oscillations (HFQPOs) and a low-frequency QPO were
simultaneously observed. Assuming that the QPO frequencies can also be
generated by equatorial and eccentric trajectories, we calculate the
probability distributions to infer $e$, $a$, and periastron distance, $r_p$, of
the orbit giving rise to simultaneous QPOs. We find that an eccentric orbit
solution is possible in the region between innermost stable circular orbit
(ISCO) and the marginally bound circular orbit (MBCO) for
$e=0.2768^{+0.0657}_{-0.0451}$, $a=0.2897 \pm 0.0087$, and
$r_p=4.6164^{+0.0694}_{-0.1259}$.
