Convert coordinates from BD72 (EPSG:4313) to ETRS89 (EPSG:4258) — official EPSG transformation parameters, accuracy and area of use, with a free in-browser converter.
The EPSG Geodetic Parameter Dataset defines 3 transformations between BD72 (EPSG:4313) and ETRS89 (EPSG:4258). Each applies to a specific area — pick the one whose area of use covers your data.
Grid file: bd72lb72_etrs89lb08.gsb
File name is lower case and despite its name is between geographic CRSs. (Similarly-named file in upper case BD72LB72_ETRS89LB08 operates in projected CRS domain).
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | -106.8686 | metre |
| Y-axis translation(ty) | 52.2978 | metre |
| Z-axis translation(tz) | -103.7239 | metre |
| X-axis rotation(rx) | -0.3366 | arc-second |
| Y-axis rotation(ry) | 0.457 | arc-second |
| Z-axis rotation(rz) | -1.8422 | arc-second |
| Scale difference(ds) | -1.2747 | parts per million |
May be taken as approximate transformation BD72 to WGS 84 - see code 15929. Scale difference is given by information source as -1.0000012747. Given in this record in ppm to assist application usage.
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | -99.1 | metre |
| Y-axis translation(ty) | 53.3 | metre |
| Z-axis translation(tz) | -112.5 | metre |
| X-axis rotation(rx) | 0.419 | arc-second |
| Y-axis rotation(ry) | -0.83 | arc-second |
| Z-axis rotation(rz) | 1.885 | arc-second |
| Scale difference(ds) | -1 | parts per million |
May be taken as approximate transformation BD72 to WGS 84 - see code 1609.
The same transformation with common GIS tools and libraries:
from pyproj import Transformer
transformer = Transformer.from_crs("EPSG:4313", "EPSG:4258", always_xy=True)
x, y = transformer.transform(-73.9857, 40.7484)
print(x, y)geographic system using latitude and longitude on an ellipsoid · Area of use: Belgium - onshore
+proj=longlat +ellps=intl +no_defs +type=crsMore about EPSG:4313 →
geographic system using latitude and longitude on an ellipsoid · Area of use: Europe - ETRF by country
+proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs +type=crsMore about EPSG:4258 →