  An exact expression for the rate of dragging of inertial frames
(Lense-Thirring (LT) precession) in a general stationary spacetime, is derived
without invoking the weak field approximation. This expression, when used for
the Kerr metric, leads to the LT precession frequency in the strong gravity
regime appropriate to compact gravitating objects like rotating neutron stars
and black holes. Numerical values of the precession rate are computed for a few
known cases of pulsars (including a double-pulsar) and compared to the
precession rates in the weaker gravity regimes of the earth and the sun.
