  We define a new parameter `cumulative drag index' for a particle in circular
orbit in a stationary, axisymmetric gravitational field and study its behaviour
in the two well known solutions of general relativity {\it viz.}, the Kerr
spacetime and the G\"odel spacetime, wherein the inertial frame dragging has an
important role. As it shows similar behaviour for both co and counter rotating
particles, it may indeed be an indication of the influence of the faraway
universe on local physics and thus Machian.
