Convert coordinates from S-JTSK (EPSG:4156) 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 4 transformations between S-JTSK (EPSG:4156) and ETRS89 (EPSG:4258). Each applies to a specific area — pick the one whose area of use covers your data.
Recommended method of a transformation from S-JTSK to ETRS89 in Slovakia. For reverse transformation see ETRS89 to S-JTSK (5) (code 8442). Both together replace S-JTSK to ETRS89 (4) (code 4827).
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 558.7 | metre |
| Y-axis translation(ty) | 68.8 | metre |
| Z-axis translation(tz) | 452.2 | metre |
| X-axis rotation(rx) | -8.025 | arc-second |
| Y-axis rotation(ry) | -4.105 | arc-second |
| Z-axis rotation(rz) | -4.295 | arc-second |
| Scale difference(ds) | 5.74 | parts per million |
| Pivot X(px) | 3977358.114 | metre |
| Pivot Y(py) | 1407223.203 | metre |
| Pivot Z(pz) | 4765441.589 | metre |
Replaced by S-JTSK to ETRS89 (4) (code 4827) to use more commonly encountered transformation method.
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 570.8 | metre |
| Y-axis translation(ty) | 85.7 | metre |
| Z-axis translation(tz) | 462.8 | metre |
| X-axis rotation(rx) | 4.998 | arc-second |
| Y-axis rotation(ry) | 1.587 | arc-second |
| Z-axis rotation(rz) | 5.261 | arc-second |
| Scale difference(ds) | 3.56 | parts per million |
May be taken as approximate transformation S-JTSK to WGS 84 - see code 1623. Improved by S-JTSK/05 to ETRS89 (1) (code 5226) in 2009, where S-JTSK/05 is a scientific working system and S-JTSK remains the legal system in Czechia.
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 485 | metre |
| Y-axis translation(ty) | 169.5 | metre |
| Z-axis translation(tz) | 483.8 | metre |
| X-axis rotation(rx) | 7.786 | arc-second |
| Y-axis rotation(ry) | 4.398 | arc-second |
| Z-axis rotation(rz) | 4.103 | arc-second |
| Scale difference(ds) | 0 | parts per million |
Derived at approximately 700 points. Scale difference incorporated into rotation matrix. Replaces S-JTSK to ETRS89 (3) (code 4829) to use more common method. May be taken as approximate transformation S-JTSK to WGS 84 - see code 4836.
The same transformation with common GIS tools and libraries:
from pyproj import Transformer
transformer = Transformer.from_crs("EPSG:4156", "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: Europe - Czechoslovakia
+proj=longlat +ellps=bessel +towgs84=589,76,480,0,0,0,0 +no_defs +type=crsMore about EPSG:4156 →
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 →