A Global Crustal Magnetization Model of Mars Based on an n=90 Spherical Harmonic Model

Statistics – Computation

Scientific paper

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0903 Computational Methods, Potential Fields, 1517 Magnetic Anomaly Modeling, 5440 Magnetic Fields And Magnetism

Scientific paper

Using a technique developed by KAW (originally in conjunction with the late Bob Langel) and MEP, a global crustal magnetization model for Mars was estimated using synthetic three--component vector data computed from an n=90 spherical harmonic model. These data were calculated on an approximately equal area grid at 100 km altitude. The areas are two degree squares of latitude and longitude at the equator expanding in longitude poleward similar to the data selection used in the n=90 model. This application for Mars has one less uncertainty than such work on Earth data because there is no need to separate a crustal field from an internal core field, but of course retains the basic ambiguity pointed out by Runcorn regarding the absolute level. A crustal thickness of 40 km was arbitrarily chosen as physically plausible though it has been shown that the thickness is not well resolved by satellite data. A spherical harmonic model computed from this model was also compared with one derived from the data that produced the n=90 model. In both instances the spectrum matches that published by Cain et al. (2003) for low degree, but is greatly diminished beyond n=20 as characteristic of a technique whose constraint is minimize the power in the model while satisfying the data. The calculation was implemented in OpenMP on an IBM Eclipse Regatta computing system utilizing 16 parallel processors on one node.

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