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Simplified algorithms for calculating double-couple rotation
Yan Y. Kagan

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ABSTRACT:

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.

SUGGESTED CITATION:
Yan Y. Kagan, "Simplified algorithms for calculating double-couple rotation" (2007). Geophysical Journal International. 171 (1), pp. 411-418. 10.1111/j.1365-246X.2007.03538.x. Postprint available free at: http://repositories.cdlib.org/postprints/3179

REQUIRED PUBLISHER STATEMENT:
www.blackwell-synergy.com/doi/abs/10.1111/j.1365-246X.2007.03538.x The definitive version is available at www.blackwell-synergy.com

 
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