Geodesy.
Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m. Joint derivation by Canada and US (tfm 6864) concatenated with IGS value for ITRF96>97 and IERS ITRF97>2008 transformations. See tfm 8264 for Canadian equivalent.
Time-dependent Coordinate Frame rotation (geocen)
(0,)
Definition: OGC Well Known Text 2 (2019)
COORDINATEOPERATION["ITRF2008 to NAD83(2011) (1)", VERSION["NGS-NA"], SOURCECRS[ GEODCRS["ITRF2008", DYNAMIC[ FRAMEEPOCH[2005]], DATUM["International Terrestrial Reference Frame 2008", ELLIPSOID["GRS 1980",6378137,298.257222101, LENGTHUNIT["metre",1]]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], CS[Cartesian,3], AXIS["(X)",geocentricX, ORDER[1], LENGTHUNIT["metre",1]], AXIS["(Y)",geocentricY, ORDER[2], LENGTHUNIT["metre",1]], AXIS["(Z)",geocentricZ, ORDER[3], LENGTHUNIT["metre",1]], ID["EPSG",5332]]], TARGETCRS[ GEODCRS["NAD83(2011)", DATUM["NAD83 (National Spatial Reference System 2011)", ELLIPSOID["GRS 1980",6378137,298.257222101, LENGTHUNIT["metre",1]]], PRIMEM["Greenwich",0, ANGLEUNIT["degree",0.0174532925199433]], CS[Cartesian,3], AXIS["(X)",geocentricX, ORDER[1], LENGTHUNIT["metre",1]], AXIS["(Y)",geocentricY, ORDER[2], LENGTHUNIT["metre",1]], AXIS["(Z)",geocentricZ, ORDER[3], LENGTHUNIT["metre",1]], ID["EPSG",6317]]], METHOD["Time-dependent Coordinate Frame rotation (geocen)", ID["EPSG",1056]], PARAMETER["X-axis translation",0.99343, LENGTHUNIT["metre",1], ID["EPSG",8605]], PARAMETER["Y-axis translation",-1.90331, LENGTHUNIT["metre",1], ID["EPSG",8606]], PARAMETER["Z-axis translation",-0.52655, LENGTHUNIT["metre",1], ID["EPSG",8607]], PARAMETER["X-axis rotation",25.91467, ANGLEUNIT["milliarc-second",4.84813681109536E-09], ID["EPSG",8608]], PARAMETER["Y-axis rotation",9.42645, ANGLEUNIT["milliarc-second",4.84813681109536E-09], ID["EPSG",8609]], PARAMETER["Z-axis rotation",11.59935, ANGLEUNIT["milliarc-second",4.84813681109536E-09], ID["EPSG",8610]], PARAMETER["Scale difference",1.71504, SCALEUNIT["parts per billion",1E-09], ID["EPSG",8611]], PARAMETER["Rate of change of X-axis translation",0.00079, LENGTHUNIT["metres per year",3.16887651727315E-08], ID["EPSG",1040]], PARAMETER["Rate of change of Y-axis translation",-0.0006, LENGTHUNIT["metres per year",3.16887651727315E-08], ID["EPSG",1041]], PARAMETER["Rate of change of Z-axis translation",-0.00134, LENGTHUNIT["metres per year",3.16887651727315E-08], ID["EPSG",1042]], PARAMETER["Rate of change of X-axis rotation",0.06667, ANGLEUNIT["milliarc-seconds per year",1.53631468932076E-16], ID["EPSG",1043]], PARAMETER["Rate of change of Y-axis rotation",-0.75744, ANGLEUNIT["milliarc-seconds per year",1.53631468932076E-16], ID["EPSG",1044]], PARAMETER["Rate of change of Z-axis rotation",-0.05133, ANGLEUNIT["milliarc-seconds per year",1.53631468932076E-16], ID["EPSG",1045]], PARAMETER["Rate of change of Scale difference",-0.10201, SCALEUNIT["parts per billion per year",3.16887651727315E-17], ID["EPSG",1046]], PARAMETER["Parameter reference epoch",1997, TIMEUNIT["year",31556925.445], ID["EPSG",1047]], OPERATIONACCURACY[0.0], USAGE[ SCOPE["Geodesy."], AREA["Puerto Rico - onshore and offshore. United States (USA) onshore and offshore - Alabama; Alaska; Arizona; Arkansas; California; Colorado; Connecticut; Delaware; Florida; Georgia; Idaho; Illinois; Indiana; Iowa; Kansas; Kentucky; Louisiana; Maine; Maryland; Massachusetts; Michigan; Minnesota; Mississippi; Missouri; Montana; Nebraska; Nevada; New Hampshire; New Jersey; New Mexico; New York; North Carolina; North Dakota; Ohio; Oklahoma; Oregon; Pennsylvania; Rhode Island; South Carolina; South Dakota; Tennessee; Texas; Utah; Vermont; Virginia; Washington; West Virginia; Wisconsin; Wyoming. US Virgin Islands - onshore and offshore."], BBOX[14.92,167.65,74.71,-63.88]], ID["EPSG",7807], REMARK["Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m. Joint derivation by Canada and US (tfm 6864) concatenated with IGS value for ITRF96>97 and IERS ITRF97>2008 transformations. See tfm 8264 for Canadian equivalent."]]
Definition: PROJ.4
+proj=helmert +x=0.99343 +y=-1.90331 +z=-0.52655 +rx=0.02591467 +ry=0.00942644999999999 +rz=0.01159935 +s=0.00171504 +dx=0.00079 +dy=-0.0006 +dz=-0.00134 +drx=6.667e-05 +dry=-0.00075744 +drz=-5.133e-05 +ds=-0.00010201 +t_epoch=1997 +convention=coordinate_frame
Definition: JavaScript (Proj4js)
proj4.defs("EPSG:7807","+proj=helmert +x=0.99343 +y=-1.90331 +z=-0.52655 +rx=0.02591467 +ry=0.00942644999999999 +rz=0.01159935 +s=0.00171504 +dx=0.00079 +dy=-0.0006 +dz=-0.00134 +drx=6.667e-05 +dry=-0.00075744 +drz=-5.133e-05 +ds=-0.00010201 +t_epoch=1997 +convention=coordinate_frame");
Definition: JSON
{ "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json", "type": "Transformation", "name": "ITRF2008 to NAD83(2011) (1)", "source_crs": { "type": "GeodeticCRS", "name": "ITRF2008", "datum": { "type": "DynamicGeodeticReferenceFrame", "name": "International Terrestrial Reference Frame 2008", "frame_reference_epoch": 2005, "ellipsoid": { "name": "GRS 1980", "semi_major_axis": 6378137, "inverse_flattening": 298.257222101 } }, "coordinate_system": { "subtype": "Cartesian", "axis": [ { "name": "Geocentric X", "abbreviation": "X", "direction": "geocentricX", "unit": "metre" }, { "name": "Geocentric Y", "abbreviation": "Y", "direction": "geocentricY", "unit": "metre" }, { "name": "Geocentric Z", "abbreviation": "Z", "direction": "geocentricZ", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 5332 } }, "target_crs": { "type": "GeodeticCRS", "name": "NAD83(2011)", "datum": { "type": "GeodeticReferenceFrame", "name": "NAD83 (National Spatial Reference System 2011)", "ellipsoid": { "name": "GRS 1980", "semi_major_axis": 6378137, "inverse_flattening": 298.257222101 } }, "coordinate_system": { "subtype": "Cartesian", "axis": [ { "name": "Geocentric X", "abbreviation": "X", "direction": "geocentricX", "unit": "metre" }, { "name": "Geocentric Y", "abbreviation": "Y", "direction": "geocentricY", "unit": "metre" }, { "name": "Geocentric Z", "abbreviation": "Z", "direction": "geocentricZ", "unit": "metre" } ] }, "id": { "authority": "EPSG", "code": 6317 } }, "method": { "name": "Time-dependent Coordinate Frame rotation (geocen)", "id": { "authority": "EPSG", "code": 1056 } }, "parameters": [ { "name": "X-axis translation", "value": 0.99343, "unit": "metre", "id": { "authority": "EPSG", "code": 8605 } }, { "name": "Y-axis translation", "value": -1.90331, "unit": "metre", "id": { "authority": "EPSG", "code": 8606 } }, { "name": "Z-axis translation", "value": -0.52655, "unit": "metre", "id": { "authority": "EPSG", "code": 8607 } }, { "name": "X-axis rotation", "value": 25.91467, "unit": { "type": "AngularUnit", "name": "milliarc-second", "conversion_factor": 4.84813681109536e-09 }, "id": { "authority": "EPSG", "code": 8608 } }, { "name": "Y-axis rotation", "value": 9.42645, "unit": { "type": "AngularUnit", "name": "milliarc-second", "conversion_factor": 4.84813681109536e-09 }, "id": { "authority": "EPSG", "code": 8609 } }, { "name": "Z-axis rotation", "value": 11.59935, "unit": { "type": "AngularUnit", "name": "milliarc-second", "conversion_factor": 4.84813681109536e-09 }, "id": { "authority": "EPSG", "code": 8610 } }, { "name": "Scale difference", "value": 1.71504, "unit": { "type": "ScaleUnit", "name": "parts per billion", "conversion_factor": 1e-09 }, "id": { "authority": "EPSG", "code": 8611 } }, { "name": "Rate of change of X-axis translation", "value": 0.00079, "unit": { "type": "LinearUnit", "name": "metres per year", "conversion_factor": 3.16887651727315e-08 }, "id": { "authority": "EPSG", "code": 1040 } }, { "name": "Rate of change of Y-axis translation", "value": -0.0006, "unit": { "type": "LinearUnit", "name": "metres per year", "conversion_factor": 3.16887651727315e-08 }, "id": { "authority": "EPSG", "code": 1041 } }, { "name": "Rate of change of Z-axis translation", "value": -0.00134, "unit": { "type": "LinearUnit", "name": "metres per year", "conversion_factor": 3.16887651727315e-08 }, "id": { "authority": "EPSG", "code": 1042 } }, { "name": "Rate of change of X-axis rotation", "value": 0.06667, "unit": { "type": "AngularUnit", "name": "milliarc-seconds per year", "conversion_factor": 1.53631468932076e-16 }, "id": { "authority": "EPSG", "code": 1043 } }, { "name": "Rate of change of Y-axis rotation", "value": -0.75744, "unit": { "type": "AngularUnit", "name": "milliarc-seconds per year", "conversion_factor": 1.53631468932076e-16 }, "id": { "authority": "EPSG", "code": 1044 } }, { "name": "Rate of change of Z-axis rotation", "value": -0.05133, "unit": { "type": "AngularUnit", "name": "milliarc-seconds per year", "conversion_factor": 1.53631468932076e-16 }, "id": { "authority": "EPSG", "code": 1045 } }, { "name": "Rate of change of Scale difference", "value": -0.10201, "unit": { "type": "ScaleUnit", "name": "parts per billion per year", "conversion_factor": 3.16887651727315e-17 }, "id": { "authority": "EPSG", "code": 1046 } }, { "name": "Parameter reference epoch", "value": 1997, "unit": { "type": "TimeUnit", "name": "year", "conversion_factor": 31556925.445 }, "id": { "authority": "EPSG", "code": 1047 } } ], "accuracy": "0.0", "scope": "Geodesy.", "area": "Puerto Rico - onshore and offshore. United States (USA) onshore and offshore - Alabama; Alaska; Arizona; Arkansas; California; Colorado; Connecticut; Delaware; Florida; Georgia; Idaho; Illinois; Indiana; Iowa; Kansas; Kentucky; Louisiana; Maine; Maryland; Massachusetts; Michigan; Minnesota; Mississippi; Missouri; Montana; Nebraska; Nevada; New Hampshire; New Jersey; New Mexico; New York; North Carolina; North Dakota; Ohio; Oklahoma; Oregon; Pennsylvania; Rhode Island; South Carolina; South Dakota; Tennessee; Texas; Utah; Vermont; Virginia; Washington; West Virginia; Wisconsin; Wyoming. US Virgin Islands - onshore and offshore.", "bbox": { "south_latitude": 14.92, "west_longitude": 167.65, "north_latitude": 74.71, "east_longitude": -63.88 }, "id": { "authority": "EPSG", "code": 7807 }, "remarks": "Scale difference in ppb and scale difference rate in ppb/yr where 1/billion = 1E-9 or nm/m. Joint derivation by Canada and US (tfm 6864) concatenated with IGS value for ITRF96>97 and IERS ITRF97>2008 transformations. See tfm 8264 for Canadian equivalent." }
Definition: MapServer - MAPfile
PROJECTION "proj=helmert" "x=0.99343" "y=-1.90331" "z=-0.52655" "rx=0.02591467" "ry=0.00942644999999999" "rz=0.01159935" "s=0.00171504" "dx=0.00079" "dy=-0.0006" "dz=-0.00134" "drx=6.667e-05" "dry=-0.00075744" "drz=-5.133e-05" "ds=-0.00010201" "t_epoch=1997" "convention=coordinate_frame" END
Definition: Mapnik
<?xml version="1.0" encoding="utf-8"?> <Map srs="+proj=helmert +x=0.99343 +y=-1.90331 +z=-0.52655 +rx=0.02591467 +ry=0.00942644999999999 +rz=0.01159935 +s=0.00171504 +dx=0.00079 +dy=-0.0006 +dz=-0.00134 +drx=6.667e-05 +dry=-0.00075744 +drz=-5.133e-05 +ds=-0.00010201 +t_epoch=1997 +convention=coordinate_frame"> <Layer srs="+proj=helmert +x=0.99343 +y=-1.90331 +z=-0.52655 +rx=0.02591467 +ry=0.00942644999999999 +rz=0.01159935 +s=0.00171504 +dx=0.00079 +dy=-0.0006 +dz=-0.00134 +drx=6.667e-05 +dry=-0.00075744 +drz=-5.133e-05 +ds=-0.00010201 +t_epoch=1997 +convention=coordinate_frame"> </Layer> </Map>
Definition: SQL (PostGIS)
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 7807, 'EPSG', 7807, '+proj=helmert +x=0.99343 +y=-1.90331 +z=-0.52655 +rx=0.02591467 +ry=0.00942644999999999 +rz=0.01159935 +s=0.00171504 +dx=0.00079 +dy=-0.0006 +dz=-0.00134 +drx=6.667e-05 +dry=-0.00075744 +drz=-5.133e-05 +ds=-0.00010201 +t_epoch=1997 +convention=coordinate_frame', 'None');