EPSG:10675

BES2020 Saba to Saba height (1)

Attributes

Geodetic CRS: BES2020 Saba

Datum: BES2020 Saba

Ellipsoid: GRS 1980

Prime meridian: Greenwich

Data source: EPSG

Information source: NSGI: Netherlands partnership of Kadaster, Rijkswaterstaat and Hydrographic Service, http://www.nsgi.nl/

Revision date: 2025-02-19

Steps of transformation: 10646 10657

Scope: Derivation of gravity-related heights from GNSS observations.

Remarks: This operation is not reversible because step 2 is not reversible. For a reversible alternative see BES2020 Saba to Saba + Saba height (1) (code 10755).

Area of use: Bonaire, Sint Eustatius and Saba (BES Islands or Caribbean Netherlands) - Saba - onshore.

Description: (0,)

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Bonaire, Sint Eustatius and Saba (BES Islands or Caribbean Netherlands) - Saba - onshore.

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Definition: OGC Well Known Text 2 (2019)

CONCATENATEDOPERATION["BES2020 Saba to Saba height (1)",
    VERSION["NSGI-Bes Saba 2020"],
    SOURCECRS[
        GEOGCRS["BES2020 Saba",
            DATUM["BES2020 Saba",
                ELLIPSOID["GRS 1980",6378137,298.257222101,
                    LENGTHUNIT["metre",1]]],
            PRIMEM["Greenwich",0,
                ANGLEUNIT["degree",0.0174532925199433]],
            CS[ellipsoidal,3],
                AXIS["geodetic latitude (Lat)",north,
                    ORDER[1],
                    ANGLEUNIT["degree",0.0174532925199433]],
                AXIS["geodetic longitude (Lon)",east,
                    ORDER[2],
                    ANGLEUNIT["degree",0.0174532925199433]],
                AXIS["ellipsoidal height (h)",up,
                    ORDER[3],
                    LENGTHUNIT["metre",1]],
            ID["EPSG",10638]]],
    TARGETCRS[
        VERTCRS["Saba height",
            VDATUM["Saba Vertical Datum"],
            CS[vertical,1],
                AXIS["gravity-related height (H)",up,
                    LENGTHUNIT["metre",1]],
            ID["EPSG",10642]]],
    STEP[
        COORDINATEOPERATION["Inverse of Saba to BES2020 Saba (1) (approx. inversion)",
            SOURCECRS[
                GEOGCRS["BES2020 Saba",
                    DATUM["BES2020 Saba",
                        ELLIPSOID["GRS 1980",6378137,298.257222101,
                            LENGTHUNIT["metre",1]]],
                    PRIMEM["Greenwich",0,
                        ANGLEUNIT["degree",0.0174532925199433]],
                    CS[ellipsoidal,3],
                        AXIS["geodetic latitude (Lat)",north,
                            ORDER[1],
                            ANGLEUNIT["degree",0.0174532925199433]],
                        AXIS["geodetic longitude (Lon)",east,
                            ORDER[2],
                            ANGLEUNIT["degree",0.0174532925199433]],
                        AXIS["ellipsoidal height (h)",up,
                            ORDER[3],
                            LENGTHUNIT["metre",1]],
                    ID["EPSG",10638]]],
            TARGETCRS[
                GEOGCRS["Saba",
                    DATUM["Saba",
                        ELLIPSOID["International 1924",6378388,297,
                            LENGTHUNIT["metre",1]]],
                    PRIMEM["Greenwich",0,
                        ANGLEUNIT["degree",0.0174532925199433]],
                    CS[ellipsoidal,3],
                        AXIS["geodetic latitude (Lat)",north,
                            ORDER[1],
                            ANGLEUNIT["degree",0.0174532925199433]],
                        AXIS["geodetic longitude (Lon)",east,
                            ORDER[2],
                            ANGLEUNIT["degree",0.0174532925199433]],
                        AXIS["ellipsoidal height (h)",up,
                            ORDER[3],
                            LENGTHUNIT["metre",1]],
                    ID["EPSG",10635]]],
            METHOD["Coordinate Frame rotation full matrix (geog3D)",
                ID["EPSG",1140]],
            PARAMETER["X-axis translation",-1138.7432,
                LENGTHUNIT["metre",1],
                ID["EPSG",8605]],
            PARAMETER["Y-axis translation",2064.4761,
                LENGTHUNIT["metre",1],
                ID["EPSG",8606]],
            PARAMETER["Z-axis translation",-110.7016,
                LENGTHUNIT["metre",1],
                ID["EPSG",8607]],
            PARAMETER["X-axis rotation",214.615206,
                ANGLEUNIT["arc-second",4.84813681109536E-06],
                ID["EPSG",8608]],
            PARAMETER["Y-axis rotation",-479.360036,
                ANGLEUNIT["arc-second",4.84813681109536E-06],
                ID["EPSG",8609]],
            PARAMETER["Z-axis rotation",164.703951,
                ANGLEUNIT["arc-second",4.84813681109536E-06],
                ID["EPSG",8610]],
            PARAMETER["Scale difference",402.32073,
                SCALEUNIT["parts per million",1E-06],
                ID["EPSG",8611]],
            OPERATIONACCURACY[0.05],
            ID["INVERSE(EPSG)",10646],
            REMARK["For the reverse transformation from BES2020 Saba to Saba, method 1140 [used here] is reversible using the same parameter values with the reverse formulas (see GN7-2). However, the official BESTRANS document applies the same formulas for both the forward and reverse transformations, but uses different parameter values for the reverse transformation."]]],
    STEP[
        COORDINATEOPERATION["Saba to Saba height (1)",
            VERSION["NSGI-Bes Saba 2020"],
            SOURCECRS[
                GEOGCRS["Saba",
                    DATUM["Saba",
                        ELLIPSOID["International 1924",6378388,297,
                            LENGTHUNIT["metre",1]]],
                    PRIMEM["Greenwich",0,
                        ANGLEUNIT["degree",0.0174532925199433]],
                    CS[ellipsoidal,3],
                        AXIS["geodetic latitude (Lat)",north,
                            ORDER[1],
                            ANGLEUNIT["degree",0.0174532925199433]],
                        AXIS["geodetic longitude (Lon)",east,
                            ORDER[2],
                            ANGLEUNIT["degree",0.0174532925199433]],
                        AXIS["ellipsoidal height (h)",up,
                            ORDER[3],
                            LENGTHUNIT["metre",1]],
                    ID["EPSG",10635]]],
            TARGETCRS[
                VERTCRS["Saba height",
                    VDATUM["Saba Vertical Datum"],
                    CS[vertical,1],
                        AXIS["gravity-related height (H)",up,
                            LENGTHUNIT["metre",1]],
                    ID["EPSG",10642]]],
            METHOD["Geographic3D to GravityRelatedHeight",
                ID["EPSG",1136]],
            PARAMETER["Geoid height",0,
                LENGTHUNIT["metre",1],
                ID["EPSG",8604]],
            OPERATIONACCURACY[0.2],
            ID["EPSG",10657],
            REMARK["Vertical component of official transformation BESTRANS2020. For reversible alternative to this transformation see Saba to Saba + Saba height (1) (code 10658)."]]],
    OPERATIONACCURACY[0.25],
    USAGE[
        SCOPE["Derivation of gravity-related heights from GNSS observations."],
        AREA["Bonaire, Sint Eustatius and Saba (BES Islands or Caribbean Netherlands) - Saba - onshore."],
        BBOX[17.56,-63.31,17.71,-63.16]],
    ID["EPSG",10675],
    REMARK["This operation is not reversible because step 2 is not reversible. For a reversible alternative see BES2020 Saba to Saba + Saba height (1) (code 10755)."]]

Definition: PROJ.4

+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +z_in=m +xy_out=rad +z_out=m +step +proj=cart +ellps=GRS80 +step +inv +proj=helmert +exact +x=1138.7432 +y=-2064.4761 +z=110.7016 +rx=-214.615206 +ry=479.360036 +rz=-164.703951 +s=-402.32073 +convention=coordinate_frame +step +inv +proj=cart +ellps=intl +step +proj=unitconvert +xy_in=rad +z_in=m +xy_out=deg +z_out=m +step +proj=axisswap +order=2,1

Definition: JavaScript (Proj4js) 

proj4.defs("EPSG:10675","+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +z_in=m +xy_out=rad +z_out=m +step +proj=cart +ellps=GRS80 +step +inv +proj=helmert +exact +x=1138.7432 +y=-2064.4761 +z=110.7016 +rx=-214.615206 +ry=479.360036 +rz=-164.703951 +s=-402.32073 +convention=coordinate_frame +step +inv +proj=cart +ellps=intl +step +proj=unitconvert +xy_in=rad +z_in=m +xy_out=deg +z_out=m +step +proj=axisswap +order=2,1");

Definition: JSON

{
    "$schema": "https://proj.org/schemas/v0.7/projjson.schema.json",
    "type": "ConcatenatedOperation",
    "name": "BES2020 Saba to Saba height (1)",
    "source_crs": {
        "type": "GeographicCRS",
        "name": "BES2020 Saba",
        "datum": {
            "type": "GeodeticReferenceFrame",
            "name": "BES2020 Saba",
            "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"
                },
                {
                    "name": "Ellipsoidal height",
                    "abbreviation": "h",
                    "direction": "up",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 10638
        }
    },
    "target_crs": {
        "type": "VerticalCRS",
        "name": "Saba height",
        "datum": {
            "type": "VerticalReferenceFrame",
            "name": "Saba Vertical Datum"
        },
        "coordinate_system": {
            "subtype": "vertical",
            "axis": [
                {
                    "name": "Gravity-related height",
                    "abbreviation": "H",
                    "direction": "up",
                    "unit": "metre"
                }
            ]
        },
        "id": {
            "authority": "EPSG",
            "code": 10642
        }
    },
    "steps": [
        {
            "type": "Transformation",
            "name": "Inverse of Saba to BES2020 Saba (1)",
            "source_crs": {
                "type": "GeographicCRS",
                "name": "BES2020 Saba",
                "datum": {
                    "type": "GeodeticReferenceFrame",
                    "name": "BES2020 Saba",
                    "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"
                        },
                        {
                            "name": "Ellipsoidal height",
                            "abbreviation": "h",
                            "direction": "up",
                            "unit": "metre"
                        }
                    ]
                },
                "id": {
                    "authority": "EPSG",
                    "code": 10638
                }
            },
            "target_crs": {
                "type": "GeographicCRS",
                "name": "Saba",
                "datum": {
                    "type": "GeodeticReferenceFrame",
                    "name": "Saba",
                    "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"
                        },
                        {
                            "name": "Ellipsoidal height",
                            "abbreviation": "h",
                            "direction": "up",
                            "unit": "metre"
                        }
                    ]
                },
                "id": {
                    "authority": "EPSG",
                    "code": 10635
                }
            },
            "method": {
                "name": "Inverse of Coordinate Frame rotation full matrix (geog3D)",
                "id": {
                    "authority": "INVERSE(EPSG)",
                    "code": 1140
                }
            },
            "parameters": [
                {
                    "name": "X-axis translation",
                    "value": 1138.7432,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8605
                    }
                },
                {
                    "name": "Y-axis translation",
                    "value": -2064.4761,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8606
                    }
                },
                {
                    "name": "Z-axis translation",
                    "value": 110.7016,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8607
                    }
                },
                {
                    "name": "X-axis rotation",
                    "value": -214.615206,
                    "unit": {
                        "type": "AngularUnit",
                        "name": "arc-second",
                        "conversion_factor": 4.84813681109536e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8608
                    }
                },
                {
                    "name": "Y-axis rotation",
                    "value": 479.360036,
                    "unit": {
                        "type": "AngularUnit",
                        "name": "arc-second",
                        "conversion_factor": 4.84813681109536e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8609
                    }
                },
                {
                    "name": "Z-axis rotation",
                    "value": -164.703951,
                    "unit": {
                        "type": "AngularUnit",
                        "name": "arc-second",
                        "conversion_factor": 4.84813681109536e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8610
                    }
                },
                {
                    "name": "Scale difference",
                    "value": -402.32073,
                    "unit": {
                        "type": "ScaleUnit",
                        "name": "parts per million",
                        "conversion_factor": 1e-06
                    },
                    "id": {
                        "authority": "EPSG",
                        "code": 8611
                    }
                }
            ],
            "accuracy": "0.05",
            "id": {
                "authority": "INVERSE(EPSG)",
                "code": 10646
            },
            "remarks": "For the reverse transformation from BES2020 Saba to Saba, method 1140 [used here] is reversible using the same parameter values with the reverse formulas (see GN7-2). However, the official BESTRANS document applies the same formulas for both the forward and reverse transformations, but uses different parameter values for the reverse transformation."
        },
        {
            "type": "Transformation",
            "name": "Saba to Saba height (1)",
            "source_crs": {
                "type": "GeographicCRS",
                "name": "Saba",
                "datum": {
                    "type": "GeodeticReferenceFrame",
                    "name": "Saba",
                    "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"
                        },
                        {
                            "name": "Ellipsoidal height",
                            "abbreviation": "h",
                            "direction": "up",
                            "unit": "metre"
                        }
                    ]
                },
                "id": {
                    "authority": "EPSG",
                    "code": 10635
                }
            },
            "target_crs": {
                "type": "VerticalCRS",
                "name": "Saba height",
                "datum": {
                    "type": "VerticalReferenceFrame",
                    "name": "Saba Vertical Datum"
                },
                "coordinate_system": {
                    "subtype": "vertical",
                    "axis": [
                        {
                            "name": "Gravity-related height",
                            "abbreviation": "H",
                            "direction": "up",
                            "unit": "metre"
                        }
                    ]
                },
                "id": {
                    "authority": "EPSG",
                    "code": 10642
                }
            },
            "method": {
                "name": "Geographic3D to GravityRelatedHeight",
                "id": {
                    "authority": "EPSG",
                    "code": 1136
                }
            },
            "parameters": [
                {
                    "name": "Geoid height",
                    "value": 0,
                    "unit": "metre",
                    "id": {
                        "authority": "EPSG",
                        "code": 8604
                    }
                }
            ],
            "accuracy": "0.2",
            "id": {
                "authority": "EPSG",
                "code": 10657
            },
            "remarks": "Vertical component of official transformation BESTRANS2020. For reversible alternative to this transformation see Saba to Saba + Saba height (1) (code 10658)."
        }
    ],
    "accuracy": "0.25",
    "scope": "Derivation of gravity-related heights from GNSS observations.",
    "area": "Bonaire, Sint Eustatius and Saba (BES Islands or Caribbean Netherlands) - Saba - onshore.",
    "bbox": {
        "south_latitude": 17.56,
        "west_longitude": -63.31,
        "north_latitude": 17.71,
        "east_longitude": -63.16
    },
    "id": {
        "authority": "EPSG",
        "code": 10675
    },
    "remarks": "This operation is not reversible because step 2 is not reversible. For a reversible alternative see BES2020 Saba to Saba + Saba height (1) (code 10755)."
}

Definition: MapServer - MAPfile

PROJECTION
	"proj=pipeline"
	"step"
	"proj=axisswap"
	"order=2,1"
	"step"
	"proj=unitconvert"
	"xy_in=deg"
	"z_in=m"
	"xy_out=rad"
	"z_out=m"
	"step"
	"proj=cart"
	"ellps=GRS80"
	"step"
	"inv"
	"proj=helmert"
	"exact"
	"x=1138.7432"
	"y=-2064.4761"
	"z=110.7016"
	"rx=-214.615206"
	"ry=479.360036"
	"rz=-164.703951"
	"s=-402.32073"
	"convention=coordinate_frame"
	"step"
	"inv"
	"proj=cart"
	"ellps=intl"
	"step"
	"proj=unitconvert"
	"xy_in=rad"
	"z_in=m"
	"xy_out=deg"
	"z_out=m"
	"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 +z_in=m +xy_out=rad +z_out=m +step +proj=cart +ellps=GRS80 +step +inv +proj=helmert +exact +x=1138.7432 +y=-2064.4761 +z=110.7016 +rx=-214.615206 +ry=479.360036 +rz=-164.703951 +s=-402.32073 +convention=coordinate_frame +step +inv +proj=cart +ellps=intl +step +proj=unitconvert +xy_in=rad +z_in=m +xy_out=deg +z_out=m +step +proj=axisswap +order=2,1">
	<Layer srs="+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +z_in=m +xy_out=rad +z_out=m +step +proj=cart +ellps=GRS80 +step +inv +proj=helmert +exact +x=1138.7432 +y=-2064.4761 +z=110.7016 +rx=-214.615206 +ry=479.360036 +rz=-164.703951 +s=-402.32073 +convention=coordinate_frame +step +inv +proj=cart +ellps=intl +step +proj=unitconvert +xy_in=rad +z_in=m +xy_out=deg +z_out=m +step +proj=axisswap +order=2,1">
	</Layer>
</Map>

Definition: SQL (PostGIS)

INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 10675, 'EPSG', 10675, '+proj=pipeline +step +proj=axisswap +order=2,1 +step +proj=unitconvert +xy_in=deg +z_in=m +xy_out=rad +z_out=m +step +proj=cart +ellps=GRS80 +step +inv +proj=helmert +exact +x=1138.7432 +y=-2064.4761 +z=110.7016 +rx=-214.615206 +ry=479.360036 +rz=-164.703951 +s=-402.32073 +convention=coordinate_frame +step +inv +proj=cart +ellps=intl +step +proj=unitconvert +xy_in=rad +z_in=m +xy_out=deg +z_out=m +step +proj=axisswap +order=2,1', 'None');