Free Frame Dragging Calculator
Estimate the Lense-Thirring frame-dragging precession rate of a gyroscope in orbit: Omega_LT = 2GJ / (c^2 * r^3), where J is the angular momentum of the central body.
kg m2/s
m
Precession Rate
0.00000000000003061105 rad/s
Precession (mas/yr)199.2693 mas/yr
Precession Rate vs Central Body Angular Momentum (J)
Lense-Thirring Frame Dragging
A rotating massive body drags the surrounding spacetime, causing gyroscopes to precess.
Formula
Omega_LT = 2GJ / (c^2 r^3)
This effect was confirmed by Gravity Probe B to within about 19% of the predicted value for Earth.
Example Calculation
Satellite at 630 km altitude around Earth (r = 7e6 m, J_Earth = 7.07e33 kg m2/s).
- 01Omega = 2 * 6.674e-11 * 7.07e33 / (8.988e16 * 3.43e20)
- 02= 9.437e23 / 3.083e37
- 03= 3.061e-14 rad/s
- 04In mas/yr: about 39 mas/yr
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