Lennart Robertsson 2005 Metrologia 42 458 doi:10.1088/0026-1394/42/5/017
Lennart Robertsson
Show affiliationsA formalism, based on standard least squares techniques, is presented in which analytic expressions can be derived for the study of the influence of hypothetic perturbations in absolute gravimetry. The model function derived from the equation of motion of the test mass and possible perturbations is expanded in an orthogonal basis composed of the shifted Legendre polynomials, and projections onto the model space and the space orthogonal to this serve to isolate the contributions to the model parameters and to the residuals. The part of the perturbation remaining in the orthogonal space can be compared with those retrieved from the residuals of the fit of the model function to the experimental data. The analysis of the structure of these residuals is a major means of gaining information about the character of the perturbations. Finally, some explicit examples are given and a discussion concerning how such an analysis can be made is included.
06.30.-k Measurements common to several branches of physics and astronomy
Issue 5 (October 2005)
Received 10 February 2005
Published 6 October 2005
Lennart Robertsson 2005 Metrologia 42 458
Guy Ratel 2005 Metrologia 42 140
A Gosset and T Madec 2005 Metrologia 42 07003
D Burns 2004 Metrologia 41 L3
A Picard et al 2004 Metrologia 41 396
H-J von Martens et al 2004 Metrologia 41 09002
P W Martin 2003 Metrologia 40
Gérard Petit 2003 Metrologia 40 S252
S N Lea et al 2003 Metrologia 40 84
R Davis and M Gläser 2003 Metrologia 40 339