A method to estimate the time–position coordinates of a free-falling test-mass in absolute gravimetry

D'Agostino, G.; Germak, Alessandro; Desogus, S.; Origlia, Claudio; Barbato, Giulio

doi:10.1088/0026-1394/42/4/006

Cited by 22 publications

(29 citation statements)

References 6 publications

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“…Included in the 67 Hz uncertainty of ∆ν r−r is a 41 Hz component, based on the partial calculations of Eides et al (2002; Li et al (1993), to account for a possible uncalculated radiative-recoil contribution of order ∆ν F (m e /(m µ )(α/π) 3 ln(m µ /m e ) and non-logarithmic terms. Since the completion of the 2002 adjustment, the results of additional partial calculations have been published that, if taken at face value, would lead to a small reduction in the 41 Hz estimate (D'Agostino et al, 2005;, 2004. However, because the calculations are not yet complete and the decrease of the 101 Hz total uncertainty assigned to ∆ν Mu (th) for the 2002 adjustment would only be a few percent, the Task Group decided to retain the 101 Hz uncertainty for the 2006 adjustment.…”

Section: Theory Of the Muonium Ground-state Hyperfine Splittingmentioning

confidence: 99%

CODATA Recommended Values of the Fundamental Physical Constants: 2006

Mohr,

Taylor,

Newell

2008

Preprint

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This paper gives the 2006 self-consistent set of values of the basic constants and conversion factors of physics and chemistry recommended by the Committee on Data for Science and Technology (CODATA) for international use. Further, it describes in detail the adjustment of the values of the constants, including the selection of the final set of input data based on the results of least-squares analyses. The 2006 adjustment takes into account the data considered in the 2002 adjustment as well as the data that became available between 31 December 2002, the closing date of that adjustment, and 31 December 2006, the closing date of the new adjustment. The new data have led to a significant reduction in the uncertainties of many recommended values. The 2006 set replaces the previously recommended 2002 CODATA set and may also be found on the World Wide Web at physics.nist.gov/constants. ContentsGlossary * This report was prepared by the authors under the auspices of the CODATA Task Group on Fundamental Constants. The members of the task group are:

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Section: Theory Of the Muonium Ground-state Hyperfine Splittingmentioning

confidence: 99%

CODATA Recommended Values of the Fundamental Physical Constants: 2006

Mohr,

Taylor,

Newell

2008

Preprint

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“…Calibration is carried out at 11 frequencies between 5 Hz and 3 kHz (5 Hz, 10 Hz, 20 Hz, 40 Hz, 80 Hz, 160 Hz, 315 Hz, 630 Hz, 1 kHz, 2 kHz, 3 kHz) and in static condition. A reference acceleration at a nearly-constant amplitude of 10 m s −2 is generated along the vertical z'-axis of the system for 10 s. In static condition acceleration due to gravity is measured by the INRiM absolute rise-and-fall gravimeter [25,26]. Measurements are performed in 48 configurations obtained by fixing the MEMS accelerometer to the center of the vibrating table at eight different angles of rotation ω (with rotation steps of 0…”

Section: Calibration Set-up and Experiments Designmentioning

confidence: 99%

Traceability of digital 3-axis MEMS accelerometer: simultaneous determination of main and transverse sensitivities in the frequency domain

Prato¹,

Mazzoleni²,

Schiavi³

2020

Metrologia

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Traceability of digital sensors is a metrological challenge, as well as a present priority, as stated within the emerging metrology requirements for the future in the Strategy 2017 to 2027 document of the Consultative Committee for Acoustics, Ultrasound, and Vibration of BIPM. From this perspective, in this paper, a calibration system for 3-axis digital MEMS accelerometers is described, in order to simultaneously evaluate the main and transverse sensitivities in the frequency domain (from 5 Hz up to 3 kHz) and in static conditions, together with a proper sensitivity parameter for digital outputs, thus providing the required metrological traceability. The procedure, based on the comparison to a reference transducer, involves a single-axis excitation of inclined planes. Experimental results are expressed in terms of exploitation and sensitivities matrices. Overall expanded uncertainties of the main terms are in the order of 2%, in dynamic conditions, and 1%-2% in static conditions. The feasibility of this system can be exploited for the development of manufacturers' in-line control systems and for the investigation of large-scale calibration procedures.

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“…To measure the time-position coordinates of C 1 we modified a technique previously developed to process sinusoidal signals [8]. The original technique consists of adjusting a sinusoidal model to data windows corresponding to equally spaced positions of the test-mass during the trajectory.…”

Section: Applications In Absolute Gravimetrymentioning

confidence: 99%

A low-finesse Fabry–Pérot interferometer for use in displacement measurements with applications in absolute gravimetry

et al. 2011

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A low-finesse Fabry-Pérot interferometer is used to determine long and fast displacements. Two corner cube reflectors form the traveling-wave cavity and one beam splitter couples the input collimated laser beam. Given the retrodirective property of corner cube reflectors, the cavity operates at the edge of stability over an extended scanning range. The in-line scheme with a single fixed optical component makes the proposed interferometer robust and easy to align and use. These characteristics are particularly useful in applications running in noisy environments, such as in on-field absolute gravimetry. Experimental data showing the performances reached in a transportable ballistic gravimeter are also presented.

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A method to estimate the time–position coordinates of a free-falling test-mass in absolute gravimetry

Cited by 22 publications

References 6 publications

CODATA Recommended Values of the Fundamental Physical Constants: 2006

CODATA Recommended Values of the Fundamental Physical Constants: 2006

Traceability of digital 3-axis MEMS accelerometer: simultaneous determination of main and transverse sensitivities in the frequency domain

A low-finesse Fabry–Pérot interferometer for use in displacement measurements with applications in absolute gravimetry

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