Simplified algorithms for calculating double-couple rotation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Earthquake-Source Mechanism, Fault-Plane Solutions, Inverse Problem, Seismic Moment, Seismotectonics, Statistical Methods

Scientific paper

We derive new, simplified formulae for evaluating the 3-D angle of earthquake double-couple (DC) rotation. The complexity of the derived equations depends on both accuracy requirements for angle evaluation and the completeness of desired solutions. The solutions are simpler than my previously proposed algorithm based on the quaternion representation designed in 1991. We discuss advantages and disadvantages of both approaches. These new expressions can be written in a few lines of computer code and used to compare both DC solutions obtained by different methods and variations of earthquake focal mechanisms in space and time.

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