Convert Bogota 1975 to MAGNA-SIRGAS

Convert coordinates from Bogota 1975 (EPSG:4218) to MAGNA-SIRGAS (EPSG:4686) — official EPSG transformation parameters, accuracy and area of use, with a free in-browser converter.

From

Input (lon, lat (decimal degrees))

Output (lon, lat (decimal degrees))

Direct link to this transformation: epsgtransform.com/transform/epsg-4218-to-epsg-4686

Official EPSG transformations from Bogota 1975 to MAGNA-SIRGAS

The EPSG Geodetic Parameter Dataset defines 16 transformations between Bogota 1975 (EPSG:4218) and MAGNA-SIRGAS (EPSG:4686). Each applies to a specific area — pick the one whose area of use covers your data.

Bogota 1975 to MAGNA-SIRGAS (1)

EPSG:15714±1 mBest accuracy

Method:: Coordinate Frame rotation (geog2D domain)
Area of use:: Colombia region 1
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	-806.413	metre
Y-axis translation(ty)	-263.5	metre
Z-axis translation(tz)	-622.671	metre
X-axis rotation(rx)	0.00006018583	radian
Y-axis rotation(ry)	-0.00001450001	radian
Z-axis rotation(rz)	-0.0001892455	radian
Scale difference(ds)	-20.81616	parts per million

May be taken as transformation to WGS 84 - see tfm code 15715. See Bogota 1975 to MAGNA-SIRGAS (9), tfm code 15730, for an equivalent transformation using the Molodenski-Badekas 10-parameter method. OGP recommends this alternative.

Bogota 1975 to MAGNA-SIRGAS (2)

EPSG:15716±1 m

Method:: Coordinate Frame rotation (geog2D domain)
Area of use:: Colombia region 2
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	100.783	metre
Y-axis translation(ty)	187.382	metre
Z-axis translation(tz)	-47	metre
X-axis rotation(rx)	-0.00004471839	radian
Y-axis rotation(ry)	0.00001175093	radian
Z-axis rotation(rz)	-0.00004027967	radian
Scale difference(ds)	-13.56561	parts per million

May be taken as transformation to WGS 84 - see tfm code 15717. See Bogota 1975 to MAGNA-SIRGAS (10), tfm code 15731, for an equivalent transformation using the Molodenski-Badekas 10-parameter method. OGP recommends this alternative.

Bogota 1975 to MAGNA-SIRGAS (3)

EPSG:15718±1 m

Method:: Coordinate Frame rotation (geog2D domain)
Area of use:: Colombia region 3
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	336.026	metre
Y-axis translation(ty)	348.565	metre
Z-axis translation(tz)	252.978	metre
X-axis rotation(rx)	-0.00008358813	radian
Y-axis rotation(ry)	-0.00003057474	radian
Z-axis rotation(rz)	0.000007573031	radian
Scale difference(ds)	-5.771909	parts per million

May be taken as transformation to WGS 84 - see tfm code 15719. See Bogota 1975 to MAGNA-SIRGAS (10), tfm code 15732, for an equivalent transformation using the Molodenski-Badekas 10-parameter method. OGP recommends this alternative.

Bogota 1975 to MAGNA-SIRGAS (4)

EPSG:15720±1 m

Method:: Coordinate Frame rotation (geog2D domain)
Area of use:: Colombia region 4
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	963.273	metre
Y-axis translation(ty)	486.386	metre
Z-axis translation(tz)	190.997	metre
X-axis rotation(rx)	-0.00007992171	radian
Y-axis rotation(ry)	-0.000008090696	radian
Z-axis rotation(rz)	0.0001051699	radian
Scale difference(ds)	-13.89914	parts per million

May be taken as transformation to WGS 84 - see tfm code 15721. See Bogota 1975 to MAGNA-SIRGAS (10), tfm code 15733, for an equivalent transformation using the Molodenski-Badekas 10-parameter method. OGP recommends this alternative.

Bogota 1975 to MAGNA-SIRGAS (5)

EPSG:15722±1 m

Method:: Coordinate Frame rotation (geog2D domain)
Area of use:: Colombia region 5
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	-90.29	metre
Y-axis translation(ty)	247.559	metre
Z-axis translation(tz)	-21.989	metre
X-axis rotation(rx)	-0.00004216369	radian
Y-axis rotation(ry)	-0.00002030416	radian
Z-axis rotation(rz)	-0.00006209623	radian
Scale difference(ds)	2.181658	parts per million

May be taken as transformation to WGS 84 - see tfm code 15723. See Bogota 1975 to MAGNA-SIRGAS (10), tfm code 15734, for an equivalent transformation using the Molodenski-Badekas 10-parameter method. OGP recommends this alternative.

Bogota 1975 to MAGNA-SIRGAS (6)

EPSG:15724±1 m

Method:: Coordinate Frame rotation (geog2D domain)
Area of use:: Colombia region 6
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	-0.562	metre
Y-axis translation(ty)	244.299	metre
Z-axis translation(tz)	-456.938	metre
X-axis rotation(rx)	0.00003329153	radian
Y-axis rotation(ry)	-0.00004001009	radian
Z-axis rotation(rz)	-0.00004507206	radian
Scale difference(ds)	3.74656	parts per million

May be taken as transformation to WGS 84 - see tfm code 15725. See Bogota 1975 to MAGNA-SIRGAS (10), tfm code 15735, for an equivalent transformation using the Molodenski-Badekas 10-parameter method. OGP recommends this alternative.

Bogota 1975 to MAGNA-SIRGAS (7)

EPSG:15726±1 m

Method:: Coordinate Frame rotation (geog2D domain)
Area of use:: Colombia region 7
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	-305.356	metre
Y-axis translation(ty)	222.004	metre
Z-axis translation(tz)	-30.023	metre
X-axis rotation(rx)	-0.00004698084	radian
Y-axis rotation(ry)	0.000005003123	radian
Z-axis rotation(rz)	-0.00009578655	radian
Scale difference(ds)	6.325747	parts per million

May be taken as transformation to WGS 84 - see tfm code 15727. See Bogota 1975 to MAGNA-SIRGAS (10), tfm code 15736, for an equivalent transformation using the Molodenski-Badekas 10-parameter method. OGP recommends this alternative.

Bogota 1975 to MAGNA-SIRGAS (8)

EPSG:15728±1 m

Method:: Coordinate Frame rotation (geog2D domain)
Area of use:: Colombia region 8
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	221.899	metre
Y-axis translation(ty)	274.136	metre
Z-axis translation(tz)	-397.554	metre
X-axis rotation(rx)	0.00001361573	radian
Y-axis rotation(ry)	-0.000002174431	radian
Z-axis rotation(rz)	-0.0000136241	radian
Scale difference(ds)	-2.199943	parts per million

May be taken as transformation to WGS 84 - see tfm code 15729. See Bogota 1975 to MAGNA-SIRGAS (10), tfm code 15737, for an equivalent transformation using the Molodenski-Badekas 10-parameter method. OGP recommends this alternative.

Bogota 1975 to MAGNA-SIRGAS (9)

EPSG:15730±1 m

Method:: Molodensky-Badekas (CF geog2D domain)
Area of use:: Colombia region 1
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	300.449	metre
Y-axis translation(ty)	293.757	metre
Z-axis translation(tz)	-317.306	metre
X-axis rotation(rx)	0.00006018581	radian
Y-axis rotation(ry)	-0.00001450002	radian
Z-axis rotation(rz)	-0.0001892455	radian
Scale difference(ds)	-20.81615	parts per million
Pivot X(px)	1891881.173	metre
Pivot Y(py)	-5961263.267	metre
Pivot Z(pz)	1248403.057	metre

Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (1), tfm code 15714.

Bogota 1975 to MAGNA-SIRGAS (10)

EPSG:15731±1 m

Method:: Molodensky-Badekas (CF geog2D domain)
Area of use:: Colombia region 2
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	308.833	metre
Y-axis translation(ty)	282.519	metre
Z-axis translation(tz)	-314.571	metre
X-axis rotation(rx)	-0.00004471845	radian
Y-axis rotation(ry)	0.00001175087	radian
Z-axis rotation(rz)	-0.00004027981	radian
Scale difference(ds)	-13.56561	parts per million
Pivot X(px)	1625036.59	metre
Pivot Y(py)	-6054644.061	metre
Pivot Z(pz)	1172969.151	metre

Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (2), tfm code 15716.

Bogota 1975 to MAGNA-SIRGAS (11)

EPSG:15732±1 m

Method:: Molodensky-Badekas (CF geog2D domain)
Area of use:: Colombia region 3
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	311.118	metre
Y-axis translation(ty)	289.167	metre
Z-axis translation(tz)	-310.641	metre
X-axis rotation(rx)	-0.00008358815	radian
Y-axis rotation(ry)	-0.00003057474	radian
Z-axis rotation(rz)	0.000007573043	radian
Scale difference(ds)	-5.771882	parts per million
Pivot X(px)	1555622.801	metre
Pivot Y(py)	-6105353.313	metre
Pivot Z(pz)	991255.656	metre

Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (3), tfm code 15718.

Bogota 1975 to MAGNA-SIRGAS (12)

EPSG:15733±1 m

Method:: Molodensky-Badekas (CF geog2D domain)
Area of use:: Colombia region 4
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	306.666	metre
Y-axis translation(ty)	315.063	metre
Z-axis translation(tz)	-318.837	metre
X-axis rotation(rx)	-0.00007992173	radian
Y-axis rotation(ry)	-0.000008090698	radian
Z-axis rotation(rz)	0.0001051699	radian
Scale difference(ds)	-13.89912	parts per million
Pivot X(px)	1845222.398	metre
Pivot Y(py)	-6058604.495	metre
Pivot Z(pz)	769132.398	metre

Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (4), tfm code 15720.

Bogota 1975 to MAGNA-SIRGAS (13)

EPSG:15734±1 m

Method:: Molodensky-Badekas (CF geog2D domain)
Area of use:: Colombia region 5
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	307.871	metre
Y-axis translation(ty)	305.803	metre
Z-axis translation(tz)	-311.992	metre
X-axis rotation(rx)	-0.00004216368	radian
Y-axis rotation(ry)	-0.00002030416	radian
Z-axis rotation(rz)	-0.00006209624	radian
Scale difference(ds)	2.181655	parts per million
Pivot X(px)	1594396.206	metre
Pivot Y(py)	-6143812.398	metre
Pivot Z(pz)	648855.829	metre

Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (5), see tfm code 15722.

Bogota 1975 to MAGNA-SIRGAS (14)

EPSG:15735±1 m

Method:: Molodensky-Badekas (CF geog2D domain)
Area of use:: Colombia region 6
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	302.934	metre
Y-axis translation(ty)	307.805	metre
Z-axis translation(tz)	-312.121	metre
X-axis rotation(rx)	0.00003329153	radian
Y-axis rotation(ry)	-0.00004001009	radian
Z-axis rotation(rz)	-0.00004507205	radian
Scale difference(ds)	3.746562	parts per million
Pivot X(px)	1558280.49	metre
Pivot Y(py)	-6167355.092	metre
Pivot Z(pz)	491954.219	metre

Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (6), tfm code 15724.

Bogota 1975 to MAGNA-SIRGAS (15)

EPSG:15736±1 m

Method:: Molodensky-Badekas (CF geog2D domain)
Area of use:: Colombia region 7
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	295.282	metre
Y-axis translation(ty)	321.293	metre
Z-axis translation(tz)	-311.001	metre
X-axis rotation(rx)	-0.00004698084	radian
Y-axis rotation(ry)	0.000005003127	radian
Z-axis rotation(rz)	-0.00009578653	radian
Scale difference(ds)	6.325744	parts per million
Pivot X(px)	1564000.62	metre
Pivot Y(py)	-6180004.879	metre
Pivot Z(pz)	243257.955	metre

Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (7), tfm code 15726.

Bogota 1975 to MAGNA-SIRGAS (16)

EPSG:15737±1 m

Method:: Molodensky-Badekas (CF geog2D domain)
Area of use:: Colombia region 8
Scope:: Transformation of coordinates at accuracy of about 1 part in 10^5 of distance between points, depending on relative tectonic motion.

Parameter	Value	Unit
X-axis translation(tx)	302.529	metre
Y-axis translation(ty)	317.979	metre
Z-axis translation(tz)	-319.08	metre
X-axis rotation(rx)	0.00001361566	radian
Y-axis rotation(ry)	-0.000002174456	radian
Z-axis rotation(rz)	-0.00001362418	radian
Scale difference(ds)	-2.199976	parts per million
Pivot X(px)	1738580.767	metre
Pivot Y(py)	-6120500.388	metre
Pivot Z(pz)	491473.306	metre

Source also quotes an equivalent transformation using the Coordinate Frame 7-parameter method - see Bogota 1975 to MAGNA-SIRGAS (8), tfm code 15728.

Convert EPSG:4218 to EPSG:4686 in code

The same transformation with common GIS tools and libraries:

from pyproj import Transformer

transformer = Transformer.from_crs("EPSG:4218", "EPSG:4686", always_xy=True)
x, y = transformer.transform(-73.9857, 40.7484)
print(x, y)

Source: EPSG:4218 — Bogota 1975

geographic system using latitude and longitude on an ellipsoid · Area of use: Colombia - mainland and offshore Caribbean

+proj=longlat +ellps=intl +towgs84=307,304,-318,0,0,0,0 +no_defs +type=crs

More about EPSG:4218 →

Target: EPSG:4686 — MAGNA-SIRGAS

geographic system using latitude and longitude on an ellipsoid · Area of use: Colombia

+proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs +type=crs

More about EPSG:4686 →

Frequently asked questions

How accurate is converting Bogota 1975 to MAGNA-SIRGAS?: The most accurate official EPSG transformation between these systems is accurate to about ±1 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:4686 to EPSG:4218 →