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Convert Porto Santo 1995 to PTRA08

Convert coordinates from Porto Santo 1995 (EPSG:4663) to PTRA08 (EPSG:5013) — official EPSG transformation parameters, accuracy and area of use, with a free in-browser converter.

Direct link to this transformation: epsgtransform.com/transform/epsg-4663-to-epsg-5013

Official EPSG transformations from Porto Santo 1995 to PTRA08

The EPSG Geodetic Parameter Dataset defines 3 transformations between Porto Santo 1995 (EPSG:4663) and PTRA08 (EPSG:5013). Each applies to a specific area — pick the one whose area of use covers your data.

Porto Santo 1995 to PTRA08 (3)

EPSG:5023±0.2 mBest accuracy
Method:
Geocentric translations (geog2D domain)
Area of use:
Portugal - Porto Santo island onshore
Scope:
Transformation of coordinates at 1m level of accuracy.
ParameterValueUnit
X-axis translation(tx)-503.3metre
Y-axis translation(ty)-247.574metre
Z-axis translation(tz)313.025metre

Derived at 14 points in May 2009. Residuals at 6 test points within 0.1m horizontal and 0.2m vertical. Info source also provides a 7-parameter Position Vector transformation of similar accuracy.

Porto Santo 1995 to PTRA08 (2)

EPSG:5022±1 m
Method:
Position Vector transformation (geog2D domain)
Area of use:
Portugal - Madeira island onshore
Scope:
Transformation of coordinates at 1m level of accuracy.
ParameterValueUnit
X-axis translation(tx)-303.956metre
Y-axis translation(ty)224.556metre
Z-axis translation(tz)214.306metre
X-axis rotation(rx)9.405arc-second
Y-axis rotation(ry)-6.626arc-second
Z-axis rotation(rz)-12.583arc-second
Scale difference(ds)1.327parts per million

Derived at 22 points in May 2009. Residuals at 17 test points within 0.1m horizontal and 1m vertical. Info source also provides a less accurate 3-parameter transformation (dX=-503.174m, dY=-247.255m, dZ=312.316m).

Porto Santo 1995 to PTRA08 (1)

EPSG:5021±2 m
Method:
Geocentric translations (geog2D domain)
Area of use:
Portugal - Madeira archipelago onshore
Scope:
Transformation of coordinates at 2m level of accuracy.
ParameterValueUnit
X-axis translation(tx)-503.229metre
Y-axis translation(ty)-247.375metre
Z-axis translation(tz)312.582metre

Derived at 34 points in May 2009. Residuals at 25 test points within 0.5m horizontal and 2m vertical. Info source also provides a Position Vector tfm of similar accuracy. See codes 5022 and 5023 for preferred tfms for islands of Porto Santo and Maderia.

Convert EPSG:4663 to EPSG:5013 in code

The same transformation with common GIS tools and libraries:

from pyproj import Transformer

transformer = Transformer.from_crs("EPSG:4663", "EPSG:5013", always_xy=True)
x, y = transformer.transform(-73.9857, 40.7484)
print(x, y)

Source: EPSG:4663Porto Santo 1995

geographic system using latitude and longitude on an ellipsoid · Area of use: Portugal - Madeira archipelago onshore

+proj=longlat +ellps=intl +no_defs +type=crs
More about EPSG:4663

Target: EPSG:5013PTRA08

geographic system using latitude and longitude on an ellipsoid · Area of use: Portugal - Azores and Madeira

+proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs +type=crs
More about EPSG:5013

Frequently asked questions

How accurate is converting Porto Santo 1995 to PTRA08?
The most accurate official EPSG transformation between these systems is accurate to about ±0.2 m within its stated area of use. Browser-based converters approximate datum shifts with Helmert parameters; for surveying-grade work apply the official transformation in a desktop GIS.
Does my data leave the browser when I use this converter?
No. All coordinate transformations are computed locally in your browser using proj4js. The coordinates you enter are never transmitted to any server.
Need the reverse? Convert EPSG:5013 to EPSG:4663