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This is a Python wrapper for the Apex fortran library by Emmert et al. [2010] [1], which allows converting between geodetic, modified apex, and quasi-dipole coordinates as well as getting modified apex and quasi-dipole base vectors (Richmond [1995] [2]). MLT calculations are also included. The package is free software (MIT license).

Quick start

Install (requires NumPy):

pip install apexpy

Conversion is done by creating an Apex object and using its methods to perform the desired calculations. Some simple examples:

>>> from apexpy import Apex
>>> from __future__ import print_function
>>> A = Apex(date=2015.3)  # datetime objects are also supported
>>> # geo to apex, scalar input
>>> mlat, mlon = A.convert(60, 15, 'geo', 'apex', height=300)
>>> print("{:.12f}, {:.12f}".format(mlat, mlon))
57.469573974609, 93.633583068848
>>> # apex to geo, array input
>>> glat, glon = A.convert([90, -90], 0, 'apex', 'geo', height=0)
>>> print(["{:.12f}, {:.12f}".format(ll, glon[i]) for i,ll in enumerate(glat)])
['83.099594116211, -84.594589233398', '-74.388267517090, 125.714927673340']
>>> # geo to MLT
>>> import datetime as dt
>>> mlat, mlt = A.convert(60, 15, 'geo', 'mlt', datetime=dt.datetime(2015, 2, 10, 18, 0, 0))
>>> print("{:.12f}, {:.12f}".format(mlat, mlt))
56.590423583984, 19.108103879293
>>> # can also convert magnetic longitude to mlt
>>> mlt = A.mlon2mlt(120, dt.datetime(2015, 2, 10, 18, 0, 0))
>>> print("{:.2f}".format(mlt))

If you don’t know or use Python, you can also use the command line. See details in the full documentation.


[1]Emmert, J. T., A. D. Richmond, and D. P. Drob (2010), A computationally compact representation of Magnetic-Apex and Quasi-Dipole coordinates with smooth base vectors, J. Geophys. Res., 115(A8), A08322, doi:10.1029/2010JA015326.
[2]Richmond, A. D. (1995), Ionospheric Electrodynamics Using Magnetic Apex Coordinates, Journal of geomagnetism and geoelectricity, 47(2), 191–212, doi:10.5636/jgg.47.191.


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