Enabling a linear model for the IMGC-02 absolute gravimeter

Measurement procedures of most rise-and-fall absolute gravimeters have to resolve singularity at the apex of the trajectory caused by the discrete fringe counting in the Michelson-type interferometers. Traditionally the singularity is addressed by implementing non-linear models of the trajectory, bu...

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Bibliographic Details
Published in:Metrologia 2014-06, Vol.51 (3), p.304-315
Main Authors: Nagornyi, V D, Biolcati, E, Svitlov, S
Format: Article
Language:English
Subjects:
absolute gravimeter
Accounting
Estimates
Estimating techniques
Gravimeters
Gravitation
Gravity
Interferometry
least squares
linear model
Mathematical models
measurement equation
Measuring instruments
Metrology
rise-and-fall trajectory
Singularities
Trajectories
Vibration
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Summary:Measurement procedures of most rise-and-fall absolute gravimeters have to resolve singularity at the apex of the trajectory caused by the discrete fringe counting in the Michelson-type interferometers. Traditionally the singularity is addressed by implementing non-linear models of the trajectory, but they introduce problems of their own, such as bias, non-uniqueness, and instability of the gravity estimates. Using the IMGC-02 gravimeter as an example, we show that the measurement procedure of the rise-and-fall gravimeters can be based on linear models which successfully resolve the singularity and provide rigorous estimates of the gravity value. The linear models also facilitate further enhancements of the instrument, such as accounting for new types of disturbances and active compensation for vibrations.
ISSN:0026-1394
1681-7575
DOI:10.1088/0026-1394/51/3/304