Last Updated: 01/26/2026
APEX
Version: 2025-05Fortran code to convert between geographic and magnetic quasi-dipole, magnetic apex, and modified magnetic apex coordinate systems based on Van Zandt et al. (1972) and Richmond [1995]. The geomagnetic main field is the International Geomagnetic Reference Field (IGRF) Version 13. The test program includes:
- Magnetic apex parameters for a given location
- Base vectors for scaling electric field and ion velocity components
- Magnetic footpoints in both hemispheres for a given geographic point
- Conversion between quasi-dipole and geographic coordinates
- Subsolar point, solar zenith angle, magnetic local time
Inputs
Date and time, positions (geographic longitude, latitude, altitude)
Outputs
- Magnetic apex parameters for a given location
- Base vectors for scaling electric field and ion velocity components
- Magnetic footpoints in both hemispheres for a given geographic point
- Conversion between quasi-dipole and geographic coordinates
- Subsolar point, solar zenith angle, magnetic local time
Model is time-dependent.
Change Log
05/2025:
- Update to add the ability to read the IGRF coffecients from the file provided by NGDC at https://www.ngdc.noaa.gov/IAGA/vmod/coeffs/igrf14coeffs.txt. This will be come the default behavior with the next update of IGRF.
- Includes IGRF-14 coefficients published in late 2024
Domains
- Magnetosphere / Global Magnetosphere
- High Latitude Ionosphere / Auroral Region
Publications
- Ionospheric electrodynamics using Magnetic Apex Coordinates.
- A computationally compact representation of Magnetic-Apex and Quasi-Dipole coordinates with smooth base vectors.
- Magnetic coordinate systems.
- International Geomagnetic Reference Field: the thirteenth generation.
Code
Code Languages: Fortran
Contacts
- Michael Wiltberger, UCAR (Model Developer)
Publication Policy
In addition to any model-specific policy, please refer to the General Publication Policy.