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Mashhoon, Bahram; Gronwald, Frank; Theiss, Dietmar S.

doi:10.1002/(sici)1521-3889(199902)8:2<135::aid-andp135>3.3.co;2-e

Cited by 25 publications

(49 citation statements)

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“…This goes against the naive 'dragging of inertial frames' intuition [2,29,30]. The total angular difference after n full revolutions would then be 6) which is another quantity one might consider measuring.…”

Section: Two-clock Clock Effectsmentioning

confidence: 99%

“…For the Kerr-Taub-NUT spacetime in the equatorial plane, the t-φ 2-metric coefficients are [31] g tt = −1 + 2W, g tφ = −2aW, g φφ = (r 2 + a 2 + 2 ) + 2a 2 which is independent of the gravitational constant G and the orbital radius r [4,5,30,34] and has a value of about 10 −7 s for the Earth. However, there are experimental difficulties that must be overcome before there is any hope of measuring this effect [9,10,35,36].…”

Section: Kerr-taub-nut Equatorial Planementioning

confidence: 99%

“…However, there are experimental difficulties that must be overcome before there is any hope of measuring this effect [9,10,35,36]. Note that the gravitomagnetic clock effect may be extended to general orbits based on the idea of 'azimuthal closure' [4,5,30,34]. This also makes it clear that the definition of the azimuthal angle is crucial for the determination of this effect.…”

Section: Kerr-taub-nut Equatorial Planementioning

confidence: 99%

See 2 more Smart Citations

Gravitomagnetism and relative observer clock effects

Bini

Jantzen

Mashhoon

2001

Class. Quantum Grav.

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The gravitomagnetic clock effect and the Sagnac effect for circularly rotating orbits in stationary axisymmetric spacetimes are studied from a relative observer point of view, clarifying their relationships and the roles played by special observer families. In particular, Semerák's recent characterization of extremely accelerated observers in terms of the two-clock clock effect is shown to be complemented by a similarly special property of the single-clock clock effect.

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Section: Two-clock Clock Effectsmentioning

confidence: 99%

Section: Kerr-taub-nut Equatorial Planementioning

confidence: 99%

Section: Kerr-taub-nut Equatorial Planementioning

confidence: 99%

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Gravitomagnetism and relative observer clock effects

Bini

Jantzen

Mashhoon

2001

Class. Quantum Grav.

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“…Moreover, different possibilities connected both with the clock effect and the gravitational Sagnac effect have been considered [5], [6].…”

Section: Introductionmentioning

confidence: 99%

TELEPENSOUTH Project: Measurement of the Earth Gravitomagnetic Field in a Terrestrial Laboratory

Pascual-Sánchez¹

2003

Current Trends in Relativistic Astrophysics

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Abstract. We will expose a preliminary study on the feasibility of an experiment leading to a direct measurement of the gravitomagnetic field generated by the rotational motion of the Earth. This measurement would be achieved by means of an appropriate coupling of a TELEscope and a Foucault PENdulum in a laboratory on ground, preferably at the SOUTH pole. An experiment of this kind was firstly proposed by Braginski, Polnarev and Thorne, 18 years ago, but it was never re-analyzed.

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“…The general relativistic clock effect, as worked out in [1,2], is the difference in the orbital periods of two clocks moving in opposite directions along a circular equatorial orbit around a central rotating mass. It is not an easy task to derive the general effect within the framework of Einstein's theory of gravitation; in fact, for orbits of arbitrary inclination to the equatorial plane, the clock effect has been derived only for the case that the orbiting bodies describe spherical orbits of constant 'radius' [2].…”

Section: Introductionmentioning

confidence: 99%

An alternative derivation of the gravitomagnetic clock effect

Iorio¹,

Lichtenegger²,

Mashhoon³

2001

Class. Quantum Grav.

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The possibility of detecting the gravitomagnetic clock effect using artificial Earth satellites provides the incentive to develop a more intuitive approach to its derivation. We first consider two test electric charges moving on the same circular orbit but in opposite directions in orthogonal electric and magnetic fields and show that the particles take different times in describing a full orbit. The expression for the time difference is completely analogous to that of the general relativistic gravitomagnetic clock effect in the weakfield and slow-motion approximation. The latter is obtained by considering the gravitomagnetic force as a small classical non-central perturbation of the main central Newtonian monopole force. A general expression for the clock effect is given for a spherical orbit with an arbitrary inclination angle. This formula differs from the result of the general relativistic calculations by terms of order c

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Cited by 25 publications

References 0 publications

Gravitomagnetism and relative observer clock effects

Gravitomagnetism and relative observer clock effects

TELEPENSOUTH Project: Measurement of the Earth Gravitomagnetic Field in a Terrestrial Laboratory

An alternative derivation of the gravitomagnetic clock effect

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