Geocentric translations (geog2D domain)
For many purposes NAD83(2011) can be considered to be coincident with WGS 84. This approximation ignores the ~2.2m offset of NAD83 from the geocentre, the low accuracy of the WGS 84 ensemble and the application of tectonic plate motion to WGS 84 data.
IOGP
2021-09-08
foot
NAD83 (National Spatial Reference System 2011)
EPSG
Rocky Mountain Tribal Transportation Association RMTCRS Handbook and User Guide; http://www.neciusa.com/documents/RMTCRS_Manual.pdf
2015-06-18
Engineering survey.
In area overlapping adjacent zones refer to distortion maps in RMTCRS User Guide to choose system. Working unit is International feet (note: not US survey feet). See NAD83(2011) / RMTCRS Billings (m) (CRS code 7117) for metric equivalent.
United States (USA) - Montana - Billings area.
Cartesian 2D CS. Axes: easting, northing (X,Y). Orientations: east, north. UoM: ft.
-4405753.96 437708.82
-27223007.6 -11566472.32
17650543.41 15967471.12
167.65 14.92
-63.88 74.71
Definition: OGC Well Known Text
PROJCS["NAD83(2011) / RMTCRS Billings (ft)", GEOGCS["NAD83(2011)", DATUM["NAD83_National_Spatial_Reference_System_2011", SPHEROID["GRS 1980",6378137,298.257222101], TOWGS84[0,0,0,0,0,0,0]], PRIMEM["Greenwich",0, AUTHORITY["EPSG","8901"]], UNIT["degree",0.0174532925199433, AUTHORITY["EPSG","9122"]], AUTHORITY["EPSG","6318"]], PROJECTION["Lambert_Conformal_Conic_1SP"], PARAMETER["latitude_of_origin",45.7833333333333], PARAMETER["central_meridian",-108.416666666667], PARAMETER["scale_factor",1.0001515], PARAMETER["false_easting",656167.979], PARAMETER["false_northing",164041.9948], UNIT["foot",0.3048], AXIS["Easting",EAST], AXIS["Northing",NORTH], AUTHORITY["EPSG","7127"]]
Definition: OGC Well Known Text 2 (2019)
PROJCRS["NAD83(2011) / RMTCRS Billings (ft)", BASEGEOGCRS["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]], ID["EPSG",6318]], CONVERSION["Montana Billings (international foot)", METHOD["Lambert Conic Conformal (1SP)", ID["EPSG",9801]], PARAMETER["Latitude of natural origin",45.7833333333333, ANGLEUNIT["degree",0.0174532925199433], ID["EPSG",8801]], PARAMETER["Longitude of natural origin",-108.416666666667, ANGLEUNIT["degree",0.0174532925199433], ID["EPSG",8802]], PARAMETER["Scale factor at natural origin",1.0001515, SCALEUNIT["unity",1], ID["EPSG",8805]], PARAMETER["False easting",656167.979, LENGTHUNIT["foot",0.3048], ID["EPSG",8806]], PARAMETER["False northing",164041.9948, LENGTHUNIT["foot",0.3048], ID["EPSG",8807]]], CS[Cartesian,2], AXIS["easting (X)",east, ORDER[1], LENGTHUNIT["foot",0.3048]], AXIS["northing (Y)",north, ORDER[2], LENGTHUNIT["foot",0.3048]], USAGE[ SCOPE["Engineering survey."], AREA["United States (USA) - Montana - Billings area."], BBOX[44.99,-109.42,47.41,-107.99]], ID["EPSG",7127]]
Definition: ESRI Well Known Text
PROJCS["NAD_1983_2011_RMTCRS_Billings_Ft_Intl", GEOGCS["GCS_NAD_1983_2011", DATUM["D_NAD_1983_2011", SPHEROID["GRS_1980",6378137.0,298.257222101]], PRIMEM["Greenwich",0.0], UNIT["Degree",0.0174532925199433]], PROJECTION["Lambert_Conformal_Conic"], PARAMETER["False_Easting",656167.979], PARAMETER["False_Northing",164041.9948], PARAMETER["Central_Meridian",-108.416666666667], PARAMETER["Standard_Parallel_1",45.7833333333333], PARAMETER["Scale_Factor",1.0001515], PARAMETER["Latitude_Of_Origin",45.7833333333333], UNIT["foot",0.3048]]
Definition: JavaScript (Proj4js)
proj4.defs("EPSG:7127","+proj=lcc +lat_1=45.7833333333333 +lat_0=45.7833333333333 +lon_0=-108.416666666667 +k_0=1.0001515 +x_0=199999.9999992 +y_0=50000.00001504 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=ft +no_defs +type=crs");
Definition: JSON
{ "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json", "type": "ProjectedCRS", "name": "NAD83(2011) / RMTCRS Billings (ft)", "base_crs": { "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": "ellipsoidal", "axis": [ { "name": "Geodetic latitude", "abbreviation": "Lat", "direction": "north", "unit": "degree" }, { "name": "Geodetic longitude", "abbreviation": "Lon", "direction": "east", "unit": "degree" } ] }, "id": { "authority": "EPSG", "code": 6318 } }, "conversion": { "name": "Montana Billings (international foot)", "method": { "name": "Lambert Conic Conformal (1SP)", "id": { "authority": "EPSG", "code": 9801 } }, "parameters": [ { "name": "Latitude of natural origin", "value": 45.7833333333333, "unit": "degree", "id": { "authority": "EPSG", "code": 8801 } }, { "name": "Longitude of natural origin", "value": -108.416666666667, "unit": "degree", "id": { "authority": "EPSG", "code": 8802 } }, { "name": "Scale factor at natural origin", "value": 1.0001515, "unit": "unity", "id": { "authority": "EPSG", "code": 8805 } }, { "name": "False easting", "value": 656167.979, "unit": { "type": "LinearUnit", "name": "foot", "conversion_factor": 0.3048 }, "id": { "authority": "EPSG", "code": 8806 } }, { "name": "False northing", "value": 164041.9948, "unit": { "type": "LinearUnit", "name": "foot", "conversion_factor": 0.3048 }, "id": { "authority": "EPSG", "code": 8807 } } ] }, "coordinate_system": { "subtype": "Cartesian", "axis": [ { "name": "Easting", "abbreviation": "X", "direction": "east", "unit": { "type": "LinearUnit", "name": "foot", "conversion_factor": 0.3048 } }, { "name": "Northing", "abbreviation": "Y", "direction": "north", "unit": { "type": "LinearUnit", "name": "foot", "conversion_factor": 0.3048 } } ] }, "scope": "Engineering survey.", "area": "United States (USA) - Montana - Billings area.", "bbox": { "south_latitude": 44.99, "west_longitude": -109.42, "north_latitude": 47.41, "east_longitude": -107.99 }, "id": { "authority": "EPSG", "code": 7127 } }
Definition: GeoServer
7127=PROJCS["NAD83(2011) / RMTCRS Billings (ft)",GEOGCS["NAD83(2011)",DATUM["NAD83_National_Spatial_Reference_System_2011",SPHEROID["GRS 1980",6378137,298.257222101],TOWGS84[0,0,0,0,0,0,0]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","6318"]],PROJECTION["Lambert_Conformal_Conic_1SP"],PARAMETER["latitude_of_origin",45.7833333333333],PARAMETER["central_meridian",-108.416666666667],PARAMETER["scale_factor",1.0001515],PARAMETER["false_easting",656167.979],PARAMETER["false_northing",164041.9948],UNIT["foot",0.3048],AXIS["Easting",EAST],AXIS["Northing",NORTH],AUTHORITY["EPSG","7127"]]
Definition: Mapnik
<?xml version="1.0" encoding="utf-8"?> <Map srs="+proj=lcc +lat_1=45.7833333333333 +lat_0=45.7833333333333 +lon_0=-108.416666666667 +k_0=1.0001515 +x_0=199999.9999992 +y_0=50000.00001504 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=ft +no_defs +type=crs"> <Layer srs="+proj=lcc +lat_1=45.7833333333333 +lat_0=45.7833333333333 +lon_0=-108.416666666667 +k_0=1.0001515 +x_0=199999.9999992 +y_0=50000.00001504 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=ft +no_defs +type=crs"> </Layer> </Map>
Definition: SQL (PostGIS)
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 7127, 'EPSG', 7127, '+proj=lcc +lat_1=45.7833333333333 +lat_0=45.7833333333333 +lon_0=-108.416666666667 +k_0=1.0001515 +x_0=199999.9999992 +y_0=50000.00001504 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=ft +no_defs +type=crs', 'PROJCS["NAD83(2011) / RMTCRS Billings (ft)",GEOGCS["NAD83(2011)",DATUM["NAD83_National_Spatial_Reference_System_2011",SPHEROID["GRS 1980",6378137,298.257222101],TOWGS84[0,0,0,0,0,0,0]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","6318"]],PROJECTION["Lambert_Conformal_Conic_1SP"],PARAMETER["latitude_of_origin",45.7833333333333],PARAMETER["central_meridian",-108.416666666667],PARAMETER["scale_factor",1.0001515],PARAMETER["false_easting",656167.979],PARAMETER["false_northing",164041.9948],UNIT["foot",0.3048],AXIS["Easting",EAST],AXIS["Northing",NORTH],AUTHORITY["EPSG","7127"]]');