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Phys. Rev. Lett. 98, 071102 (2007) [4 pages]

Gravitomagnetic Influence on Gyroscopes and on the Lunar Orbit

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T. W. Murphy, Jr.1,*, K. Nordtvedt2, and S. G. Turyshev3
1University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0424, USA
2Northwest Analysis, 118 Sourdough Ridge Road, Bozeman, Montana 59715, USA
3Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California 91109, USA

Received 19 December 2006; published 13 February 2007

Gravitomagnetism—a motional coupling of matter analogous to the Lorentz force in electromagnetism—has observable consequences for any scenario involving differing mass currents. Examples include gyroscopes located near a rotating massive body and the interaction of two orbiting bodies. In the former case, the resulting precession of the gyroscope is often called “frame dragging” and is the principal measurement sought by the Gravity Probe-B experiment. The latter case is realized in the Earth-Moon system, and the effect has in fact been confirmed via lunar laser ranging to approximately 0.1% accuracy—better than the anticipated accuracy of the Gravity-Probe-B result. This Letter shows the connection between these seemingly disparate phenomena by employing the same gravitomagnetic term in the equation of motion to obtain both gyroscopic precession and modification of the lunar orbit.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.071102
DOI:
10.1103/PhysRevLett.98.071102
PACS:
04.80.Cc, 95.10.Eg, 96.20.Jz

*Electronic address: tmurphy@physics.ucsd.edu

See Also

Comment: Sergei M. Kopeikin, Comment on “Gravitomagnetic Influence on Gyroscopes and on the Lunar Orbit”, Phys. Rev. Lett. 98, 229001 (2007).

Reply: T. W. Murphy, K. Nordtvedt, and S. G. Turyshev, Murphy, Nordtvedt, and Turyshev Reply:, Phys. Rev. Lett. 98, 229002 (2007).