Calculateur d'Entraînement des Référentiels Gratuit
Calculez l'effet d'entraînement des référentiels (effet Lense-Thirring). Estimez la torsion de l'espace-temps par un objet en rotation.
Precession Rate
0.00000000000003061105 rad/s
Precession Rate vs Central Body Angular Momentum (J)
Formule
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.
Exemple Résolu
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
Questions Fréquentes
What is frame dragging?
A rotating mass drags spacetime around with it, similar to how a spinning ball in honey drags the surrounding fluid. This is a prediction of general relativity.
How was frame dragging measured?
Gravity Probe B (2004-2005) used four ultra-precise gyroscopes in orbit to detect the tiny precession. The LAGEOS satellites also provided evidence through laser ranging.
Is frame dragging significant near black holes?
Yes. Near a rotating (Kerr) black hole, frame dragging is enormous and creates the ergosphere, a region where nothing can remain stationary.
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