GALS - Gradient Analysis by Least Squares

Physics

Scientific paper

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0520 Data Analysis: Algorithms And Implementation, 2700 Magnetospheric Physics (6939), 2794 Instruments And Techniques, 3252 Spatial Analysis (0500), 7835 Magnetic Reconnection (2723, 7526)

Scientific paper

Detailed studies of boundaries in space are an important objective of multi-spacecraft missions such as Cluster. Using a least squares method to estimate gradients in space-time, we have developed an algorithm that in a few iterations finds a frame of reference where the boundary is locally at rest and the spacecraft are moving with a known velocity along the gradient. The spatial resolution is then mainly determined by the data sampling rate and the velocity of the spacecraft relative to the boundary. Studying the structure of a current sheet with this method we obtain a resolution that in most cases is far better than that of, for example, the curlometer method.

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