frame dragging and rotation

[kurious]

Is there a simple mathematical relation between the speed at which the Earth spins and the magnitude of the frame-dragging effect?

[pmb_phy]

Is there a simple mathematical relation between the speed at which the Earth spins and the magnitude of the frame-dragging effect?
bodies angular momentum. Let

\Delta \equiv r^2 - 2Mr + a^2

Let \omega be the angular velocity of the dragging of the inertial frame. Then

\omega = \frac{2Mra}{(r^2 + a^2)^2 - a^2 \Delta sin^2\theta}

Pete