Space physics coordinate transformations - A user guide

Mathematics

Scientific paper

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Axes Of Rotation, Cartesian Coordinates, Coordinate Transformations, Geocentric Coordinates, Matrices (Mathematics), European Space Agency, Information Systems

Scientific paper

A comprehensive description of the transformations between the major coordinate systems in use in space physics is presented. The work of Russell (1971) is extended by means of an improved specification of the transformation matrices, which is clearer in both conceptual and mathematical terms. Modern formulas for the various rotation angles are used as well. The transformations are specified in a way which facilitates their implementation in softward. Additional coordinate systems such as heliocentric and boundary normal coordinates are included. 'Simple' coordinate systems with a geocentric origin, 'simple' coordinate systems with a heliocentric origin, and a breakdown of geocentric coordinate transformations are presented in tabular form.

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