Convert coordinates from Amersfoort (EPSG:4289) 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 9 transformations between Amersfoort (EPSG:4289) and ETRS89 (EPSG:4258). Each applies to a specific area — pick the one whose area of use covers your data.
Grid file: rdtrans2018.gsb
Defines Amersfoort. Horizontal component of official transformation RDNAPTRANS(TM)2018. Replaces Amersfoort to ETRS89 (7) (tfm code 7000).
Grid file: rdtrans2008.gsb
Consistent to within 1mm with official RNAPTRANS(TM)2008 at ground level onshore and at MSL offshore. The horizontal deviation using this NTv2 grid is approximately 1mm per 50m height difference from ground level or MSL.
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 565.7381 | metre |
| Y-axis translation(ty) | 50.4018 | metre |
| Z-axis translation(tz) | 465.2904 | metre |
| X-axis rotation(rx) | 1.91514 | microradian |
| Y-axis rotation(ry) | -1.60363 | microradian |
| Z-axis rotation(rz) | 9.09546 | microradian |
| Scale difference(ds) | 4.07244 | parts per million |
Replaces Amersfoort to ETRS89 (5) and (6) (tfm codes 4830 and 4831). Derived using ETRF2000. In official transformation used with an ellipsoidal height of 0m in Amersfoort or 43m in ETRS89 and with an additional correction grid (up to 0.25m).
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 593.032 | metre |
| Y-axis translation(ty) | 26 | metre |
| Z-axis translation(tz) | 478.741 | metre |
| X-axis rotation(rx) | 1.9848 | microradian |
| Y-axis rotation(ry) | -1.7439 | microradian |
| Z-axis rotation(rz) | 9.0587 | microradian |
| Scale difference(ds) | 4.0772 | parts per million |
| Pivot X(px) | 3903453.148 | metre |
| Pivot Y(py) | 368135.313 | metre |
| Pivot Z(pz) | 5012970.306 | metre |
Replaced by Amersfoort to ETRS89 (4) (tfm code 15740). Dutch sources also quote an equivalent transformation using the Coordinate Frame 7-parameter method - see tfm code 1751.
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 565.04 | metre |
| Y-axis translation(ty) | 49.91 | metre |
| Z-axis translation(tz) | 465.84 | metre |
| X-axis rotation(rx) | 1.9848 | microradian |
| Y-axis rotation(ry) | -1.7439 | microradian |
| Z-axis rotation(rz) | 9.0587 | microradian |
| Scale difference(ds) | 4.0772 | parts per million |
Replaced by Amersfoort to ETRS89 (3) (tfm code 15739). Dutch sources also quote an equivalent transformation using the Molodenski-Badekas 10-parameter method (M-B) - see tfm code 1066.
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 565.4171 | metre |
| Y-axis translation(ty) | 50.3319 | metre |
| Z-axis translation(tz) | 465.5524 | metre |
| X-axis rotation(rx) | 1.9342 | microradian |
| Y-axis rotation(ry) | -1.6677 | microradian |
| Z-axis rotation(rz) | 9.1019 | microradian |
| Scale difference(ds) | 4.0725 | parts per million |
Replaces Amersfoort to ETRS89 (3) (tfm code 15739). Dutch sources also quote an equivalent transformation using the Molodenski-Badekas method - see tfm code 4831.
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 593.0248 | metre |
| Y-axis translation(ty) | 25.9984 | metre |
| Z-axis translation(tz) | 478.7459 | metre |
| X-axis rotation(rx) | 1.9342 | microradian |
| Y-axis rotation(ry) | -1.6677 | microradian |
| Z-axis rotation(rz) | 9.1019 | microradian |
| Scale difference(ds) | 4.0725 | parts per million |
| Pivot X(px) | 3903453.1482 | metre |
| Pivot Y(py) | 368135.3134 | metre |
| Pivot Z(pz) | 5012970.3051 | metre |
Replaces Amersfoort to ETRS89 (4) (tfm code 15740). Dutch sources also quote an equivalent transformation using the Coordinate Frame 7-parameter method - see tfm code 4830.
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 565.2369 | metre |
| Y-axis translation(ty) | 50.0087 | metre |
| Z-axis translation(tz) | 465.658 | metre |
| X-axis rotation(rx) | 1.9725 | microradian |
| Y-axis rotation(ry) | -1.7004 | microradian |
| Z-axis rotation(rz) | 9.0677 | microradian |
| Scale difference(ds) | 4.0812 | parts per million |
Replaces Amersfoort to ETRS89 (1) (tfm code 1751). Replaced by Amersfoort to ETRS89 (5) (tfm code 4830). Dutch sources also quote an equivalent transformation using the Molodenski-Badekas 10-parameter method (M-B) - see tfm code 15740.
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 593.0297 | metre |
| Y-axis translation(ty) | 26.0038 | metre |
| Z-axis translation(tz) | 478.7534 | metre |
| X-axis rotation(rx) | 1.9725 | microradian |
| Y-axis rotation(ry) | -1.7004 | microradian |
| Z-axis rotation(rz) | 9.0677 | microradian |
| Scale difference(ds) | 4.0812 | parts per million |
| Pivot X(px) | 3903453.1482 | metre |
| Pivot Y(py) | 368135.3134 | metre |
| Pivot Z(pz) | 5012970.3051 | metre |
Replaces Amersfoort to ETRS89 (2) (tfm code 1066). Replaced by Amersfoort to ETRS89 (6) (tfm code 4831). Dutch sources also quote an equivalent transformation using the Coordinate Frame 7-parameter method - see tfm code 15739.
The same transformation with common GIS tools and libraries:
from pyproj import Transformer
transformer = Transformer.from_crs("EPSG:4289", "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: Netherlands - onshore
+proj=longlat +ellps=bessel +no_defs +type=crsMore about EPSG:4289 →
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 →