Open AccessThe Calibration of Gravity Meters by Comparison with Pendulums
Author(s) -
Cook A. H.
Publication year - 1958
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1958.tb00031.x
Subject(s) - pendulum , gravimeter , calibration , metre , geodesy , physics , mathematics , geology , geophysics , statistics , casing , quantum mechanics , astronomy
Summary The least squares adjustment of a set of pendulum and gravity meter observations is discussed. A general formula is obtained for the dependence of the gravity meter calibration factor on the relative weights assigned to the pendulum and gravity meter observations. Further expressions for the factor are derived when the pendulum and gravity meter networks are identical and when they contain no redundant observations. Only in the latter case is the factor independent of the relative weights of the pendulum and gravity meter observations and it is suggested that, since the relative weights may be poorly determined, observations should conform to this condition. Methods of dealing with non‐independent observations are considered and the application of the results to the calibration of gravity meters is discussed.