(null/copy) Approximation for medium and low accuracy applications assuming equality between plate-fixed static and earth-fixed dynamic CRSs, ignoring static/dynamic CRS differences.
Parameters from Aratu to SIRGAS 2000 (4) (tfm code 5056) assuming that SIRGAS 2000 and WGS 84 are equal within the accuracy of the transformation. Petrobras preferred parameters for all purposes in the area.
Geocentric translations (geog2D domain)
Brazil - offshore - Cumuruxatiba, Jequitinhonha and Camamu-Almada basins.
(-160.4, 302.29, -144.19, 0.0, 0.0, 0.0, 0.0)
Definition: OGC Well Known Text 2 (2019)
COORDINATEOPERATION["Aratu to WGS 84 (16)", VERSION["PB-Bra BSUL 2002"], SOURCECRS[ GEOGCRS["Aratu", DATUM["Aratu", ELLIPSOID["International 1924",6378388,297, LENGTHUNIT["metre",1]]], 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]], ID["EPSG",4208]]], 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]], ID["EPSG",4326]]], METHOD["Geocentric translations (geog2D domain)", ID["EPSG",9603]], PARAMETER["X-axis translation",-160.4, LENGTHUNIT["metre",1], ID["EPSG",8605]], PARAMETER["Y-axis translation",302.29, LENGTHUNIT["metre",1], ID["EPSG",8606]], PARAMETER["Z-axis translation",-144.19, LENGTHUNIT["metre",1], ID["EPSG",8607]], OPERATIONACCURACY[1.0], USAGE[ SCOPE["(null/copy) Approximation for medium and low accuracy applications assuming equality between plate-fixed static and earth-fixed dynamic CRSs, ignoring static/dynamic CRS differences."], AREA["Brazil - offshore - Cumuruxatiba, Jequitinhonha and Camamu-Almada basins."], BBOX[-17.7,-39.22,-13.01,-34.6]], ID["EPSG",5057], REMARK["Parameters from Aratu to SIRGAS 2000 (4) (tfm code 5056) assuming that SIRGAS 2000 and WGS 84 are equal within the accuracy of the transformation. Petrobras preferred parameters for all purposes in the area."]]
Definition: PROJ.4
+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=intl +step +proj=helmert +x=-160.4 +y=302.29 +z=-144.19 +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1
Definition: JavaScript (Proj4js)
proj4.defs("EPSG:5057","+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=intl +step +proj=helmert +x=-160.4 +y=302.29 +z=-144.19 +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1");
Definition: JSON
{ "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json", "type": "Transformation", "name": "Aratu to WGS 84 (16)", "source_crs": { "type": "GeographicCRS", "name": "Aratu", "datum": { "type": "GeodeticReferenceFrame", "name": "Aratu", "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": 4208 } }, "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 } }, "method": { "name": "Geocentric translations (geog2D domain)", "id": { "authority": "EPSG", "code": 9603 } }, "parameters": [ { "name": "X-axis translation", "value": -160.4, "unit": "metre", "id": { "authority": "EPSG", "code": 8605 } }, { "name": "Y-axis translation", "value": 302.29, "unit": "metre", "id": { "authority": "EPSG", "code": 8606 } }, { "name": "Z-axis translation", "value": -144.19, "unit": "metre", "id": { "authority": "EPSG", "code": 8607 } } ], "accuracy": "1.0", "scope": "(null/copy) Approximation for medium and low accuracy applications assuming equality between plate-fixed static and earth-fixed dynamic CRSs, ignoring static/dynamic CRS differences.", "area": "Brazil - offshore - Cumuruxatiba, Jequitinhonha and Camamu-Almada basins.", "bbox": { "south_latitude": -17.7, "west_longitude": -39.22, "north_latitude": -13.01, "east_longitude": -34.6 }, "id": { "authority": "EPSG", "code": 5057 }, "remarks": "Parameters from Aratu to SIRGAS 2000 (4) (tfm code 5056) assuming that SIRGAS 2000 and WGS 84 are equal within the accuracy of the transformation. Petrobras preferred parameters for all purposes in the area." }
Definition: MapServer - MAPfile
PROJECTION "proj=pipeline" "step" "proj=axisswap" "order=2,1" "step" "proj=unitconvert" "xy_in=deg" "xy_out=rad" "step" "proj=push" "v_3" "step" "proj=cart" "ellps=intl" "step" "proj=helmert" "x=-160.4" "y=302.29" "z=-144.19" "step" "inv" "proj=cart" "ellps=WGS84" "step" "proj=pop" "v_3" "step" "proj=unitconvert" "xy_in=rad" "xy_out=deg" "step" "proj=axisswap" "order=2,1" END
Definition: Mapnik
<?xml version="1.0" encoding="utf-8"?> <Map srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=intl +step +proj=helmert +x=-160.4 +y=302.29 +z=-144.19 +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1"> <Layer srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=intl +step +proj=helmert +x=-160.4 +y=302.29 +z=-144.19 +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1"> </Layer> </Map>
Definition: SQL (PostGIS)
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 5057, 'EPSG', 5057, '+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +xy_out=rad +step +proj=push +v_3 +step +proj=cart +ellps=intl +step +proj=helmert +x=-160.4 +y=302.29 +z=-144.19 +step +inv +proj=cart +ellps=WGS84 +step +proj=pop +v_3 +step +proj=unitconvert +xy_in=rad +xy_out=deg +step +proj=axisswap +order=2,1', 'None');