  With precision pulsar timing, measured values of a large set of pulsar
parameters are obtainable. For some of those parameters, such as the
time-derivatives of spin or orbital periods (in the case of binary pulsars),
the measured values are not the intrinsic values of the parameters as they
contain contributions from the dynamical effects. In the case of orbital period
derivatives, the intrinsic values are essentially the general relativistic
results. Pulsar timing solution also provides measurement of higher
time-derivatives of orbital frequency for some pulsars. We specifically focus
on the second time-derivative of the orbital frequency to explore its
application in testing general relativity. In this work, we have provided a
formalism to estimate the general relativistic contribution to the second
derivative of the orbital frequency. We have calculated the dynamical effect
contributions as well as the general relativistic contributions to the second
time-derivative of the orbital period for real as well as synthetic pulsars. We
find that the general relativistic contribution to the second time-derivative
of the orbital period is negligibly small compared to the observed values of
the real pulsars.
