geoprimsField-grade geospatial math

Legacy datum to or from WGS 84

Converts a latitude and longitude between a legacy datum (, , , Tokyo, , Pulkovo 1942, , or Arc 1960) and 84 with the published EPSG transformation, and states its accuracy, which is meters, not centimeters.

48.8556855°

The point shifts 138.7 m toward 223°. This shift is good only to about 10 m.

  • ED50 to WGS 84 by EPSG 1133 is good to about 10 m, not the centimeters of a modern frame.
Longitude
Horizontal shift
Shift direction
Stated accuracy
Provenance
Computed by
geodesy.datum.legacy 1.0.0, core 0.1.0
Model
EPSG geocentric translation or 7-parameter Helmert (geog2D domain): geographic → ECEF on the datum's ellipsoid → Helmert → WGS 84
Accuracy
EPSG 1133 (ED50 to WGS 84): about 10 m, for western Europe.
Notes
1 shown with the answer
Cites
IOGP Geomatics Committee, EPSG Geodetic Parameter Dataset; International Association of Oil & Gas Producers (IOGP), Coordinate Conversions and Transformations including Formulas, IOGP Publication 373-7-2

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How we got thisFormula, worked example, sources, and proof

Model: EPSG geocentric translation or 7-parameter Helmert (geog2D domain): geographic → ECEF on the datum's ellipsoid → Helmert → WGS 84

Accuracy: As stated by EPSG for each transformation: 2 m (OSGB36) to 35 m (Arc 1960); matches PROJ's implementation of the same EPSG operation to 1e-9°

When to use this: Use this to place an old map, chart, or survey record against a modern position. Coordinates printed before satellite positioning are on a datum fitted to one region — ED50 across western Europe, NAD27 in North America, Tokyo in Japan and Korea, Arc 1960 in east Africa — and reading them as WGS 84 puts a point tens to hundreds of meters from where it belongs, far enough to move a boundary onto the wrong side of a road. The answer reports how far the point moves and in which direction, so the size of the correction is visible, along with what the transformation is actually worth.

Limitations: This is meters of accuracy, not centimeters, and the stated figure is the point: from 2 m for OSGB36 to 35 m for Arc 1960. A single set of parameters is being asked to stand for a whole continental datum that was never that consistent, so the error varies across the region and no single number describes any particular point. Each transformation has a published area of use and the answer is flagged outside it, where it is extrapolation rather than transformation. Where a national grid exists — the NADCON5 grids for North America, OSTN15 for Great Britain — that grid is more accurate than this and should be preferred; the neighbouring NADCON5 tool covers the American cases. Only latitude and longitude are converted; heights are untouched, and nothing here concerns a vertical datum.

Worked example: Paris on ED50 to WGS 84. Source: PROJ 9.3.0 asked for EPSG:1133 (ED50 to WGS 84 (1)) by code alone, through pyproj, returns 48.85568546266484 and 2.350914333016232 — identical to the tool in every digit a double carries. It is golden test vector v001, and every build checks the tool still gives its answer within its tolerance.

You enter

Legacy datum
ED50
Latitude
48.8566 deg
Longitude
2.3522 deg

You get

Latitude
48.8556855°
Longitude
2.3509143°
Horizontal shift
138.7 m
Shift direction
223°
Stated accuracy
10 m

Review: Not yet independently reviewed by a geodesist.

Last verified: 2026-09-19, when a maintainer last confirmed this tool's sources at the issuer. See the sources ledger.

Status: version 1.0.0, core 0.1.0. See this tool in the verification report.

Checked against: 20 golden test vectors (download the test vectors, each with its source and tolerance). See how results are checked and every source.

Sources

Terms

AGD66: Australian Geodetic Datum 1966
A legacy Australian datum on the Australian National Spheroid. Source: EPSG Geodetic Parameter Dataset
ED50: European Datum 1950
A legacy European datum on the International 1924 ellipsoid. Source: EPSG Geodetic Parameter Dataset
NAD27: North American Datum of 1927
The older North American datum on the Clarke 1866 ellipsoid. Its positions can differ from NAD 83 by tens of meters. Source: NADCON5 datum transformations
OSGB36: Ordnance Survey Great Britain 1936
The legacy datum of the British National Grid, on the Airy 1830 ellipsoid. Source: EPSG Geodetic Parameter Dataset
SAD69: South American Datum 1969
A legacy South American datum on the GRS 1967 ellipsoid. Source: EPSG Geodetic Parameter Dataset
WGS: World Geodetic System
The US Department of Defense global reference frame and ellipsoid that GPS uses; the current version is WGS 84. Source: Department of Defense World Geodetic System 1984

AGD66 — Australian Geodetic Datum 1966

A legacy Australian datum on the Australian National Spheroid.

Source: EPSG Geodetic Parameter Dataset

ED50 — European Datum 1950

A legacy European datum on the International 1924 ellipsoid.

Source: EPSG Geodetic Parameter Dataset

NAD27 — North American Datum of 1927

The older North American datum on the Clarke 1866 ellipsoid. Its positions can differ from NAD 83 by tens of meters.

Source: NADCON5 datum transformations

OSGB36 — Ordnance Survey Great Britain 1936

The legacy datum of the British National Grid, on the Airy 1830 ellipsoid.

Source: EPSG Geodetic Parameter Dataset

SAD69 — South American Datum 1969

A legacy South American datum on the GRS 1967 ellipsoid.

Source: EPSG Geodetic Parameter Dataset

WGS — World Geodetic System

The US Department of Defense global reference frame and ellipsoid that GPS uses; the current version is WGS 84.

Source: Department of Defense World Geodetic System 1984