Boundary normal coordinates


Boundary normal coordinates, as their name implies, are defined relative to some boundary such as the magnetopause or the bow shock. They allow the data to be ordered in a way which is related to that boundary. The L and M axes, equivalent to x and y, lie in a plane tangential to the boundary - and the N axis, equivalent to z, is normal to the boundary.

There is no universal convention to assign the positive sense of the N axis. In magnetopause studies, N is usually defined as positive away from the Earth.

Similarly, there is no universal convention to resolve the L and M axes. In work on the magnetopause, L is usually defined as the projection of the GSM Z axis on to the boundary tangent plane (Russell and Elphic, 1978). Thus the unperturbed geomagnetic field in the outer magnetosphere should lie close to the L direction.

The transformation matrices between boundary normal coordinates and other systems such as GSE maybe determined by a number of methods:

Last updated 29 July 1997 by Mike Hapgood (Email: M.Hapgood@rl.ac.uk)


RAL Space Plasma Group logo Logo for coordinate systems