Accuracy of the estimate of J via multipoint measurements

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cluster Mission, Current Density, Error Analysis, Magnetic Fields, Spaceborne Astronomy, Spacecraft Configurations, Waveforms, Accuracy, European Space Programs, Magnetometers, Mathematical Models, Positioning, Space Plasmas, Spacing

Scientific paper

A numerical model is carried out to estimate the accuracy of the determination of the current density via measurements of the magnetic field at four locations. Three potential sources of error are investigated: the error associated with the nonhomogeneity of the current density profile over the volume defined by the four Cluster spacecraft; the error associated with the natural noise or the noise in the electronics of the magnetometer; and the error related to the uncertainty in the determination of the distances between the spacecraft. The latter two errors are modelled by random perturbations applied to the 4 by 3 magnetic waveforms.

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