# pyart.core.cartesian_to_geographic_aeqd#

pyart.core.cartesian_to_geographic_aeqd(x, y, lon_0, lat_0, R=6370997.0)[source]#

Azimuthal equidistant Cartesian to geographic coordinate transform.

Transform a set of Cartesian/Cartographic coordinates (x, y) to geographic coordinate system (lat, lon) using a azimuthal equidistant map projection 1.

\begin{align}\begin{aligned}lat = \arcsin(\cos(c) * \sin(lat_0) + (y * \sin(c) * \cos(lat_0) / \rho))\\lon = lon_0 + \arctan2( x * \sin(c), \rho * \cos(lat_0) * \cos(c) - y * \sin(lat_0) * \sin(c))\\\rho = \sqrt(x^2 + y^2)\\c = \rho / R\end{aligned}\end{align}

Where x, y are the Cartesian position from the center of projection; lat, lon the corresponding latitude and longitude; lat_0, lon_0 are the latitude and longitude of the center of the projection; R is the radius of the earth (defaults to ~6371 km). lon is adjusted to be between -180 and 180.

Parameters
• x, y (array-like) – Cartesian coordinates in the same units as R, typically meters.

• lon_0, lat_0 (float) – Longitude and latitude, in degrees, of the center of the projection.

• R (float, optional) – Earth radius in the same units as x and y. The default value is in units of meters.

Returns

lon, lat (array) – Longitude and latitude of Cartesian coordinates in degrees.

References

1

Snyder, J. P. Map Projections–A Working Manual. U. S. Geological Survey Professional Paper 1395, 1987, pp. 191-202.