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Using absolute gravimeter data to determine vertical gravity gradients

Metrologia

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DOI: 10.1088/0026-1394/38/2/6

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Abstract

The position versus time data from a free-fall absolute gravimeter can be used to estimate the vertical gravity gradient in addition to the gravity value itself. Hipkin has reported success in estimating the vertical gradient value using a data set of unusually good quality. This paper explores techniques that may be applicable to a broader class of data that may be contaminated with "system response" errors of larger magnitude than were evident in the data used by Hipkin. This system response function is usually modelled as a sum of exponentially decaying sinusoidal components. The technique employed here involves combining the x0, v0 and g parameters from all the drops made during a site occupation into a single least-squares solution, and including the value of the vertical gradient and the coefficients of system response function in the same solution. The resulting non-linear equations must be solved iteratively and convergence presents some difficulties. Sparse matrix techniques are used to make the least-squares problem computationally tractable.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Using absolute gravimeter data to determine vertical gravity gradients
Series title:
Metrologia
DOI:
10.1088/0026-1394/38/2/6
Volume
38
Issue:
2
Year Published:
2001
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Metrologia
First page:
147
Last page:
153