Dissemination of the Kilogram at METAS: Extended Method of Lagrange Multipliers for Air Buoyancy Correction

K. Marti

Abstract

We present the current mathematical procedures at METAS for disseminating the kilogram. We compare the classical method for solving a linear system of equations of mass comparisons to the Lagrange multiplier method. In addition, we have studied the influence of redundancy in mass comparisons and found that the combined standard uncertainty can be reduced when using a redundant design matrix.

Keywords

Kilogram, dissemination, Lagrange multipliers, centre of gravity correction

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IMEKO TC

TC3 - Measurement of Force, Mass, Torque, and Gravity

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