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DOC: Update overview
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docs/overview.rst

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========
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The derivation of an appropriate vector basis has been a long-term challenge
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in space science. The vector basis in current use is non-orthogonal and as
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such presents a number of challenges when attempting to apply it to space
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science studies. This package provides for the calculation of an orthogonal
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vector basis, consistent with the underlying physics, for general magnetic
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fields. Further, OMMBV calculates scaling factors suitable for translating
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an electric field at one location to any other location on the field line.
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in space science. This package provides the first accurate orthogonal
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vector basis that supports mapping electric fields or other parameters at one
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location to any other location on the same field line.
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OMMBV retains these properties for non-spherical planets, such as the Earth, as
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well as for magnetic fields that are more complicated than a pure dipole, such
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as the Earth's.
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These features are fundamental for Space Science studies. Satellite measurements
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of plasma motions in-situ can now be accurately mapped along field lines
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for comparison to ground based equipment. Forcings from the neutral atmosphere
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(in say Earth's E-region Ionosphere) may now also be mapped to satellite
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altitudes to accurately characterize both the magnitude and direction
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of that forcing on plasma motion at satellite locations. Computer modelers
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may use OMMBV to map electric fields calculated within a single plane through
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the whole magnetosphere, significantly reducing computational resources.
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for comparison to ground based equipment. Forcing from the neutral atmosphere
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may now also be mapped to satellite altitudes to accurately characterize
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both the magnitude and direction of that forcing on plasma motion at satellite
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locations. Computer modelers may use OMMBV to map electric fields calculated
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within a single plane through the whole magnetosphere, significantly reducing
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computational resources.
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OMMBV has been validated using a variety of test magnetic sources as well as
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via application to the Earth's magnetic field using the
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`International Geomagnetic Reference Field (IGRF) <https://geomag.bgs.ac.uk/research/modelling/IGRF.html>`_.
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Further, OMMBV includes two paths to determine the relevant vector basis. Both
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paths will only result in the same answers if the underlying system is truly
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orthogonal. The statistical performance of OMMBV between IGRF with a geodetic
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Earth and a spherical Earth with a pure dipole magnetic field is the same.
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OMMBV vectors are accurate up to 6-7 digits of precision at default calculation
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settings.
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.. image:: images/logo_high_res.png
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:width: 400px

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