Geocentric translations (geog2D domain)
Derived at 9 points throughout Madagascar. Adopted by OMV.
"Laborde projection in Madagascar cartography and its recovery in WGS84 datum", Marco Roggero. Società Italiana di Fotogrammetria e Topografia (SIFET) 2009 publication Appl Geomat (2009) 1:131–140.
2020-03-14
metre
EPSG
Société des Pétroles de Madagascar.
2018-04-19
Engineering survey, topographic mapping.
See Tananarive (Paris) / Laborde Grid (CRS code 29701) for original definition in grads with respect to the Paris meridian. This is equivalent.
Cartesian 2D CS. Axes: northing, easting (X,Y). Orientations: north, east. UoM: m.
436064.89 773558.76
-26284.79 -60450.07
901225.99 1597848.35
42.53 -26.59
51.03 -11.69
Definition: OGC Well Known Text
PROJCS["Tananarive / Laborde Grid", GEOGCS["Tananarive", DATUM["Tananarive_1925", SPHEROID["International 1924",6378388,297], TOWGS84[-198.383,-240.517,-107.909,0,0,0,0]], PRIMEM["Greenwich",0, AUTHORITY["EPSG","8901"]], UNIT["degree",0.0174532925199433, AUTHORITY["EPSG","9122"]], AUTHORITY["EPSG","4297"]], PROJECTION["Laborde_Oblique_Mercator"], PARAMETER["latitude_of_center",-18.9], PARAMETER["longitude_of_center",46.4372291666667], PARAMETER["azimuth",18.9], PARAMETER["scale_factor",0.9995], PARAMETER["false_easting",400000], PARAMETER["false_northing",800000], UNIT["metre",1, AUTHORITY["EPSG","9001"]], AUTHORITY["EPSG","8441"]]
Definition: OGC Well Known Text 2 (2019)
BOUNDCRS[ SOURCECRS[ PROJCRS["Tananarive / Laborde Grid", BASEGEOGCRS["Tananarive", DATUM["Tananarive 1925", ELLIPSOID["International 1924",6378388,297, LENGTHUNIT["metre",1]]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], ID["EPSG",4297]], CONVERSION["Laborde Grid (Greenwich)", METHOD["Laborde Oblique Mercator", ID["EPSG",9813]], PARAMETER["Latitude of projection centre",-18.9, ANGLEUNIT["degree",0.0174532925199433], ID["EPSG",8811]], PARAMETER["Longitude of projection centre",46.4372291666667, ANGLEUNIT["degree",0.0174532925199433], ID["EPSG",8812]], PARAMETER["Azimuth of initial line",18.9, ANGLEUNIT["degree",0.0174532925199433], ID["EPSG",8813]], PARAMETER["Scale factor on initial line",0.9995, SCALEUNIT["unity",1], ID["EPSG",8815]], PARAMETER["False easting",400000, LENGTHUNIT["metre",1], ID["EPSG",8806]], PARAMETER["False northing",800000, LENGTHUNIT["metre",1], ID["EPSG",8807]]], CS[Cartesian,2], AXIS["northing (X)",north, ORDER[1], LENGTHUNIT["metre",1]], AXIS["easting (Y)",east, ORDER[2], LENGTHUNIT["metre",1]], USAGE[ SCOPE["Engineering survey, topographic mapping."], AREA["Madagascar - onshore."], BBOX[-25.64,43.18,-11.89,50.56]], ID["EPSG",8441]]], TARGETCRS[ GEOGCRS["WGS 84", ENSEMBLE["World Geodetic System 1984 ensemble", MEMBER["World Geodetic System 1984 (Transit)"], MEMBER["World Geodetic System 1984 (G730)"], MEMBER["World Geodetic System 1984 (G873)"], MEMBER["World Geodetic System 1984 (G1150)"], MEMBER["World Geodetic System 1984 (G1674)"], MEMBER["World Geodetic System 1984 (G1762)"], MEMBER["World Geodetic System 1984 (G2139)"], ELLIPSOID["WGS 84",6378137,298.257223563, LENGTHUNIT["metre",1]], ENSEMBLEACCURACY[2.0]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], CS[ellipsoidal,2], AXIS["geodetic latitude (Lat)",north, ORDER[1], ANGLEUNIT["degree",0.0174532925199433]], AXIS["geodetic longitude (Lon)",east, ORDER[2], ANGLEUNIT["degree",0.0174532925199433]], USAGE[ SCOPE["Horizontal component of 3D system."], AREA["World."], BBOX[-90,-180,90,180]], ID["EPSG",4326]]], ABRIDGEDTRANSFORMATION["Transformation from unknown to WGS84", METHOD["Position Vector transformation (geog2D domain)", ID["EPSG",9606]], PARAMETER["X-axis translation",-198.383, ID["EPSG",8605]], PARAMETER["Y-axis translation",-240.517, ID["EPSG",8606]], PARAMETER["Z-axis translation",-107.909, ID["EPSG",8607]], PARAMETER["X-axis rotation",0, ID["EPSG",8608]], PARAMETER["Y-axis rotation",0, ID["EPSG",8609]], PARAMETER["Z-axis rotation",0, ID["EPSG",8610]], PARAMETER["Scale difference",1, ID["EPSG",8611]]]]
Definition: ESRI Well Known Text
PROJCS["Tananarive_1925_Laborde_Grid", GEOGCS["GCS_Tananarive_1925", DATUM["D_Tananarive_1925", SPHEROID["International_1924",6378388.0,297.0]], PRIMEM["Greenwich",0.0], UNIT["Degree",0.0174532925199433]], PROJECTION["Laborde_Oblique_Mercator"], PARAMETER["False_Easting",400000.0], PARAMETER["False_Northing",800000.0], PARAMETER["Scale_Factor",0.9995], PARAMETER["Azimuth",18.9], PARAMETER["Longitude_Of_Center",46.4372291666667], PARAMETER["Latitude_Of_Center",-18.9], UNIT["Meter",1.0]]
Definition: JSON
{ "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json", "type": "BoundCRS", "source_crs": { "type": "ProjectedCRS", "name": "Tananarive / Laborde Grid", "base_crs": { "name": "Tananarive", "datum": { "type": "GeodeticReferenceFrame", "name": "Tananarive 1925", "ellipsoid": { "name": "International 1924", "semi_major_axis": 6378388, "inverse_flattening": 297 } }, "coordinate_system": { "subtype": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" } ] }, "id": { "authority": "EPSG", "code": 4297 } }, "conversion": { "name": "Laborde Grid (Greenwich)", "method": { "name": "Laborde Oblique Mercator", "id": { "authority": "EPSG", "code": 9813 } }, "parameters": [ { "name": "Latitude of projection centre", "value": -18.9, "unit": "degree", "id": { "authority": "EPSG", "code": 8811 } }, { "name": "Longitude of projection centre", "value": 46.4372291666667, "unit": "degree", "id": { "authority": "EPSG", "code": 8812 } }, { "name": "Azimuth of initial line", "value": 18.9, "unit": "degree", "id": { "authority": "EPSG", "code": 8813 } }, { "name": "Scale factor on initial line", "value": 0.9995, "unit": "unity", "id": { "authority": "EPSG", "code": 8815 } }, { "name": "False easting", "value": 400000, "unit": "metre", "id": { "authority": "EPSG", "code": 8806 } }, { "name": "False northing", "value": 800000, "unit": "metre", "id": { "authority": "EPSG", "code": 8807 } } ] }, "coordinate_system": { "subtype": "Cartesian", "axis": [ { "name": "Northing", "abbreviation": "X", "direction": "north", "unit": "metre" }, { "name": "Easting", "abbreviation": "Y", "direction": "east", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 8441 } }, "target_crs": { "type": "GeographicCRS", "name": "WGS 84", "datum_ensemble": { "name": "World Geodetic System 1984 ensemble", "members": [ { "name": "World Geodetic System 1984 (Transit)", "id": { "authority": "EPSG", "code": 1166 } }, { "name": "World Geodetic System 1984 (G730)", "id": { "authority": "EPSG", "code": 1152 } }, { "name": "World Geodetic System 1984 (G873)", "id": { "authority": "EPSG", "code": 1153 } }, { "name": "World Geodetic System 1984 (G1150)", "id": { "authority": "EPSG", "code": 1154 } }, { "name": "World Geodetic System 1984 (G1674)", "id": { "authority": "EPSG", "code": 1155 } }, { "name": "World Geodetic System 1984 (G1762)", "id": { "authority": "EPSG", "code": 1156 } }, { "name": "World Geodetic System 1984 (G2139)", "id": { "authority": "EPSG", "code": 1309 } } ], "ellipsoid": { "name": "WGS 84", "semi_major_axis": 6378137, "inverse_flattening": 298.257223563 }, "accuracy": "2.0", "id": { "authority": "EPSG", "code": 6326 } }, "coordinate_system": { "subtype": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" } ] }, "id": { "authority": "EPSG", "code": 4326 } }, "transformation": { "name": "Transformation from unknown to WGS84", "method": { "name": "Position Vector transformation (geog2D domain)", "id": { "authority": "EPSG", "code": 9606 } }, "parameters": [ { "name": "X-axis translation", "value": -198.383, "unit": "metre", "id": { "authority": "EPSG", "code": 8605 } }, { "name": "Y-axis translation", "value": -240.517, "unit": "metre", "id": { "authority": "EPSG", "code": 8606 } }, { "name": "Z-axis translation", "value": -107.909, "unit": "metre", "id": { "authority": "EPSG", "code": 8607 } }, { "name": "X-axis rotation", "value": 0, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8608 } }, { "name": "Y-axis rotation", "value": 0, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8609 } }, { "name": "Z-axis rotation", "value": 0, "unit": { "type": "AngularUnit", "name": "arc-second", "conversion_factor": 4.84813681109536e-06 }, "id": { "authority": "EPSG", "code": 8610 } }, { "name": "Scale difference", "value": 0, "unit": { "type": "ScaleUnit", "name": "parts per million", "conversion_factor": 1e-06 }, "id": { "authority": "EPSG", "code": 8611 } } ] } }
Definition: GeoServer
8441=PROJCS["Tananarive / Laborde Grid",GEOGCS["Tananarive",DATUM["Tananarive_1925",SPHEROID["International 1924",6378388,297],TOWGS84[-198.383,-240.517,-107.909,0,0,0,0]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4297"]],PROJECTION["Laborde_Oblique_Mercator"],PARAMETER["latitude_of_center",-18.9],PARAMETER["longitude_of_center",46.4372291666667],PARAMETER["azimuth",18.9],PARAMETER["scale_factor",0.9995],PARAMETER["false_easting",400000],PARAMETER["false_northing",800000],UNIT["metre",1,AUTHORITY["EPSG","9001"]],AUTHORITY["EPSG","8441"]]
Definition: Mapnik
<?xml version="1.0" encoding="utf-8"?> <Map srs="+proj=labrd +lat_0=-18.9 +lon_0=46.4372291666667 +azi=18.9 +k=0.9995 +x_0=400000 +y_0=800000 +ellps=intl +towgs84=-198.383,-240.517,-107.909,0,0,0,0 +units=m +no_defs +type=crs"> <Layer srs="+proj=labrd +lat_0=-18.9 +lon_0=46.4372291666667 +azi=18.9 +k=0.9995 +x_0=400000 +y_0=800000 +ellps=intl +towgs84=-198.383,-240.517,-107.909,0,0,0,0 +units=m +no_defs +type=crs"> </Layer> </Map>
Definition: SQL (PostGIS)
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 8441, 'EPSG', 8441, '+proj=labrd +lat_0=-18.9 +lon_0=46.4372291666667 +azi=18.9 +k=0.9995 +x_0=400000 +y_0=800000 +ellps=intl +towgs84=-198.383,-240.517,-107.909,0,0,0,0 +units=m +no_defs +type=crs', 'PROJCS["Tananarive / Laborde Grid",GEOGCS["Tananarive",DATUM["Tananarive_1925",SPHEROID["International 1924",6378388,297],TOWGS84[-198.383,-240.517,-107.909,0,0,0,0]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4297"]],PROJECTION["Laborde_Oblique_Mercator"],PARAMETER["latitude_of_center",-18.9],PARAMETER["longitude_of_center",46.4372291666667],PARAMETER["azimuth",18.9],PARAMETER["scale_factor",0.9995],PARAMETER["false_easting",400000],PARAMETER["false_northing",800000],UNIT["metre",1,AUTHORITY["EPSG","9001"]],AUTHORITY["EPSG","8441"]]');