Least-squares multi-spacecraft gradient calculation with automatic error estimation
De Keyser, J.
least squares method
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Multi-spacecraft missions allow the gradient of important physical quantities in the terrestrial environment to be determined. The gradient can be computed from four simultaneous measurements in a straightforward way, but this computation does not produce proper error estimates, making it hard to assess the meaningfulness of the result. Recently developed least-squares gradient computation techniques offer the possibility to obtain more precise results with all-inclusive error estimates, provided that information about the non-linearity of the space and time variations of the observed quantity is given. The present paper describes several heuristics for estimating these variations, thereby enabling a fully automatic computation of the gradient and the associated error estimates. The performance of these heuristics is illustrated with synthetic data corresponding to 4- and 10-spacecraft configurations.
CitationDe Keyser, J. (2008). Least-squares multi-spacecraft gradient calculation with automatic error estimation. , Annales Geophysicae, Vol. 26, Issue 11, 3295-3316, DOI: 10.5194/angeo-26-3295-2008.