Measurement of the absolute acceleration due to gravity using a laser ballistic gravimeter

Arnautov, G. P.; Kalish, E P; Kokoulin, F I; Koronkevich, V. P.; Lokhmatov, A. I.; Malyshev, I. S.; Nesterikhin, Yu. E.; Petrashevich, L A; Smirnov, M G; Stus, Yu. F.; Tarasyuk, V G

doi:10.1070/qe1979v009n03abeh008778

Cited by 8 publications

(11 citation statements)

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“…We present here the analysis of new sets of data from different gravimeters and find experimental 1 As described in [14], these perturbations do not test the foundations of special relativity, and are just related to the finite speed of propagation of light. agreement with the classical result given in [12,[3][4][5][6][7][8][9][10][11]. We also review the derivation of the 'speed of light perturbation' by two different methods and show their mutual agreement and equivalence to the results in [12,[3][4][5][6][7][8][9][10][11].…”

Section: Introductionsupporting

confidence: 71%

“…agreement with the classical result given in [12,[3][4][5][6][7][8][9][10][11]. We also review the derivation of the 'speed of light perturbation' by two different methods and show their mutual agreement and equivalence to the results in [12,[3][4][5][6][7][8][9][10][11].…”

Section: Introductionsupporting

confidence: 71%

“…The method used for the estimation of the proportionality factor for one set, is the Levenberg-Marquardt least square orthogonal distance method in which the uncertainties 𝑢 ∆𝑔 𝑚𝑒𝑎𝑠 and 𝑢 ∆𝑔 𝑡ℎ𝑒𝑜 , associated to ∆𝑔 𝑚𝑒𝑎𝑠 and ∆𝑔 𝑡ℎ𝑒𝑜 respectively, are included in the method. The software IGOR Pro 6 was used to perform the fit. The uncertainty, 𝑢 𝑎𝑐_𝑓𝑖𝑡 , associated to 𝑎 𝑐 given by the fitting procedure has been estimated to 0.3 (k=1).…”

Section: Uncertainty Evaluation For 𝑎 𝑐mentioning

confidence: 99%

“…These results were questioned by the authors of [15], who proposed a reconsideration of the theoretical derivation that deviates from [12] (and previous works [3][4][5][6][7][8][9][10][11]). The controversy was deepened after the claim in [16] of the first measurement of the 'speed of light perturbation' that apparently confirmed the calculations in [15].…”

Section: Introductionmentioning

confidence: 99%

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Experimental assessment of the speed of light perturbation in free-fall absolute gravimeters

et al. 2015

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Precision absolute gravity measurements are growing in importance, especially in the context of the new definition of the kilogram. For the case of free-fall absolute gravimeters with a Michelson-type interferometer tracking the position of a free falling body, one of the effects that needs to be taken into account is the 'speed of light perturbation' due to the finite speed of propagation of light. This effect has been extensively discussed in the past, and there is at present a disagreement between different studies. In this work, we present the analysis of new data and confirm the result expected from the theoretical analysis applied nowadays in free-fall gravimeters. We also review the standard derivations of this effect (by using phase shift or Doppler effect arguments) and show their equivalence.

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Section: Introductionsupporting

confidence: 71%

Section: Introductionsupporting

confidence: 71%

Section: Uncertainty Evaluation For 𝑎 𝑐mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental assessment of the speed of light perturbation in free-fall absolute gravimeters

et al. 2015

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“…In that case the coefficient 4 3 should be 2 3 . [22,23,24,3] Using the phase progression, in the paper [22] the authors assessed the trajectory distortion similar to (36) and found the correction for the three-level schema same as (20). For the specific case of four-level schema we considered in chapter 4.1.3, the correction obtained by the authors [22,23] is thrice less than in (38).…”

Section: Hammond and Faller [21]mentioning

confidence: 99%

Correction due to the finite speed of light in absolute gravimeters

Nagornyi¹,

Zanimonskiy

2011

Metrologia

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Abstract. Correction due to finite speed of light is among the most inconsistent ones in absolute gravimetry. Formulas reported by different authors yield corrections scattered up to 8 µGal with no obvious reasons. The problem, though noted before, has never been studied, and nowadays the correction is rather postulated than rigorously proven. In this paper we make an attempt to revise the subject. Like other authors, we use physical models based on signal delays and the Doppler effect, however, in implementing the models we additionally introduce two scales of time associated with moving and resting reflectors, derive a set of rules to switch between the scales, and establish the equivalence of trajectory distortions as obtained from either time delay or distance progression. The obtained results enabled us to produce accurate correction formulas for different types of instruments, and to explain the differences in the results obtained by other authors. We found that the correction derived from the Doppler effect is accountable only for 2 3 of the total correction due to finite speed of light, if no signal delays are considered. Another major source of inconsistency was found in the tacit use of simplified trajectory models.

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Results from an absolute gravity survey in the United States

Zumberge¹,

Faller²,

Gschwind³

1983

J. Geophys. Res.

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Using the recently completed JILA absolute gravity meter, we made an absolute gravity survey which covered 12 sites in the United States. Over a period of 8 weeks, the instrument was driven a total distance of nearly 20,000 km to sites in California, New Mexico, Colorado, Wyoming, Maryland, and Massachusetts. The time spent in carrying out a measurement at a single location was typically 1 day. A measurement accuracy of around 1×10−7 m/s2 (10 μGal) is believed to have been obtained at each of the sites.

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Measurement of the absolute acceleration due to gravity using a laser ballistic gravimeter

Cited by 8 publications

References 0 publications

Experimental assessment of the speed of light perturbation in free-fall absolute gravimeters

Experimental assessment of the speed of light perturbation in free-fall absolute gravimeters

Correction due to the finite speed of light in absolute gravimeters

Results from an absolute gravity survey in the United States

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