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<?php |
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/** |
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* PHPCoord. |
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* |
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* @author Doug Wright |
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*/ |
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declare(strict_types=1); |
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namespace PHPCoord\Datum; |
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use PHPCoord\Exception\UnknownEllipsoidException; |
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use PHPCoord\UnitOfMeasure\Length\Length; |
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use function sqrt; |
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class Ellipsoid |
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{ |
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/** |
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* Airy 1830 |
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* Original definition is a=20923713, b=20853810 feet of 1796. 1/f is given to 7 decimal places. For the 1936 |
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* retriangulation OSGB defines the relationship of 10 feet of 1796 to the International metre through |
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* ([10^0.48401603]/10) exactly = 0.3048007491... |
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*/ |
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public const EPSG_AIRY_1830 = 'urn:ogc:def:ellipsoid:EPSG::7001'; |
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/** |
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* Airy Modified 1849 |
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* OSGB Airy 1830 figure (ellipsoid code 7001) rescaled by 0.999965 to best fit the scale of the 19th century |
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* primary triangulation of Ireland. |
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*/ |
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public const EPSG_AIRY_MODIFIED_1849 = 'urn:ogc:def:ellipsoid:EPSG::7002'; |
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/** |
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* Australian National Spheroid |
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* Based on the GRS 1967 figure but with 1/f taken to 2 decimal places exactly. The dimensions are also used as |
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* the GRS 1967 Modified ellipsoid (see code 7050). |
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*/ |
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public const EPSG_AUSTRALIAN_NATIONAL_SPHEROID = 'urn:ogc:def:ellipsoid:EPSG::7003'; |
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/** |
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* Average Terrestrial System 1977. |
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*/ |
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public const EPSG_AVERAGE_TERRESTRIAL_SYSTEM_1977 = 'urn:ogc:def:ellipsoid:EPSG::7041'; |
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/** |
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* Bessel 1841 |
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* Original Bessel definition is a=3272077.14 and b=3261139.33 toise. This used a weighted mean of values from |
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* several authors but did not account for differences in the length of the various toise: the "Bessel toise" is |
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* therefore of uncertain length. |
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*/ |
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public const EPSG_BESSEL_1841 = 'urn:ogc:def:ellipsoid:EPSG::7004'; |
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/** |
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* Bessel Modified |
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* Used in Norway and also in Sweden with a 1mm increase in semi-major axis. |
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*/ |
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public const EPSG_BESSEL_MODIFIED = 'urn:ogc:def:ellipsoid:EPSG::7005'; |
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/** |
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* Bessel Namibia (GLM) |
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* The semi-major axis has the same value as the Bessel 1841 ellipsoid (code 7004) but is in different units - |
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* German Legal Metres rather than International metres - hence a different size. a = 6377483.865 International |
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* metres. Used in Namibia. |
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*/ |
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public const EPSG_BESSEL_NAMIBIA_GLM = 'urn:ogc:def:ellipsoid:EPSG::7046'; |
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/** |
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* CGCS2000 |
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* Defining parameters semi-major axis, flattening and angular velocity are same as for GRS 1980 (ellipsoid code |
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* 7019); GM = 3986004.4e8 m*m*m/s/s (from NASA 1986 Lageos determination). |
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*/ |
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public const EPSG_CGCS2000 = 'urn:ogc:def:ellipsoid:EPSG::1024'; |
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/** |
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* Clarke 1858 |
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* Clarke's 1858/II solution. Derived parameters: a = 6378293.645m using his 1865 ratio of 0.3047972654 feet per |
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* metre; 1/f = 294.26068… In Australia and Amoco Trinidad 1/f taken to two decimal places (294.26 exactly); |
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* elsewhere a and b used to derive 1/f. |
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*/ |
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public const EPSG_CLARKE_1858 = 'urn:ogc:def:ellipsoid:EPSG::7007'; |
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/** |
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* Clarke 1866 |
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* Original definition a=20926062 and b=20855121 (British) feet. Uses Clarke's 1865 inch-metre ratio of 39.370432 |
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* to obtain metres. (Metric value then converted to US survey feet for use in the US and international feet for |
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* use in Cayman Islands). |
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*/ |
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public const EPSG_CLARKE_1866 = 'urn:ogc:def:ellipsoid:EPSG::7008'; |
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/** |
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* Clarke 1866 Authalic Sphere |
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* Authalic sphere derived from Clarke 1866 ellipsoid (code 7008). |
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*/ |
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public const EPSG_CLARKE_1866_AUTHALIC_SPHERE = 'urn:ogc:def:ellipsoid:EPSG::7052'; |
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/** |
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* Clarke 1880 |
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* Clarke gave a and b and also 1/f=293.465 (to 3 decimal places exactly). In the 19th century b was normally given |
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* as the second defining parameter. |
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*/ |
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public const EPSG_CLARKE_1880 = 'urn:ogc:def:ellipsoid:EPSG::7034'; |
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/** |
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* Clarke 1880 (Arc) |
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* Adopts Clarke's value for a with derived 1/f. Uses his 1865 ratio of 39.370432 inch per metre to convert |
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* semi-major axis to metres. |
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*/ |
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public const EPSG_CLARKE_1880_ARC = 'urn:ogc:def:ellipsoid:EPSG::7013'; |
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/** |
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* Clarke 1880 (Benoit) |
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* Adopts Clarke's values for a and b. Uses Benoit's 1895 ratio of 0.9143992 metres per yard to convert to metres. |
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*/ |
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public const EPSG_CLARKE_1880_BENOIT = 'urn:ogc:def:ellipsoid:EPSG::7010'; |
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/** |
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* Clarke 1880 (IGN) |
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* Adopts Clarke's values for a and b using his 1865 ratio of 39.370432 inches per metre to convert axes to metres. |
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*/ |
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public const EPSG_CLARKE_1880_IGN = 'urn:ogc:def:ellipsoid:EPSG::7011'; |
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/** |
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* Clarke 1880 (RGS) |
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* Adopts Clarke's values for a and 1/f. Adopts his 1865 ratio of 39.370432 inches per metre to convert semi-major |
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* axis to metres. Also known as Clarke Modified 1880. |
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*/ |
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public const EPSG_CLARKE_1880_RGS = 'urn:ogc:def:ellipsoid:EPSG::7012'; |
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/** |
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* Clarke 1880 (SGA 1922) |
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* Used in Old French Triangulation (ATF). Uses Clarke's 1865 inch-metre ratio of 39.370432 to convert axes to |
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* metres. |
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*/ |
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public const EPSG_CLARKE_1880_SGA_1922 = 'urn:ogc:def:ellipsoid:EPSG::7014'; |
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/** |
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* Clarke 1880 (international foot) |
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* Clarke's 1880 definition in feet assumed for the purposes of metric conversion to be international foot. a = |
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* 6378306.370…metres. 1/f derived from a and b = 293.4663077… Used in Fiji. |
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*/ |
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public const EPSG_CLARKE_1880_INTERNATIONAL_FOOT = 'urn:ogc:def:ellipsoid:EPSG::7055'; |
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/** |
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* Danish 1876 |
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* Semi-major axis originally given as 3271883.25 toise. Uses toise to French metre ratio of 1.94903631 to two |
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* decimal place precision. An alternative ratio with the German legal metre of 1.9490622 giving 6377104m has not |
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* been used in Danish work. |
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*/ |
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public const EPSG_DANISH_1876 = 'urn:ogc:def:ellipsoid:EPSG::7051'; |
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/** |
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* Everest (1830 Definition) |
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* Everest gave a and b to 2 decimal places and also 1/f=300.8017 (to 4 decimal places exactly). In the 19th |
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* century b was normally given as the second defining parameter. |
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*/ |
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public const EPSG_EVEREST_1830_DEFINITION = 'urn:ogc:def:ellipsoid:EPSG::7042'; |
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/** |
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* Everest 1830 (1937 Adjustment) |
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* Used for the 1937 readjustment of Indian triangulation. Clarke's 1865 Indian-British foot ratio (0.99999566) |
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* and Benoit's 1898 British inch-metre ratio (39.370113) rounded as 0.30479841 exactly and applied to Everest's |
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* 1830 definition taken as a and 1/f. |
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*/ |
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public const EPSG_EVEREST_1830_1937_ADJUSTMENT = 'urn:ogc:def:ellipsoid:EPSG::7015'; |
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/** |
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* Everest 1830 (1962 Definition) |
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* Used by Pakistan since metrication. Clarke's 1865 Indian foot-British foot ratio (0.99999566) and his 1865 |
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* British inch-metre ratio (39.369971) rounded with slight error as 1 Ind ft = 0.3047995m exactly and applied to |
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* Everest's 1830 definition of a & b. |
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*/ |
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public const EPSG_EVEREST_1830_1962_DEFINITION = 'urn:ogc:def:ellipsoid:EPSG::7044'; |
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/** |
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* Everest 1830 (1967 Definition) |
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* Adopted 1967 for use in East Malaysia. Applies Sears 1922 inch-metre ratio of 39.370147 to Everest 1830 |
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* original definition of a and 1/f but with a taken to be in British rather than Indian feet. |
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*/ |
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public const EPSG_EVEREST_1830_1967_DEFINITION = 'urn:ogc:def:ellipsoid:EPSG::7016'; |
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/** |
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* Everest 1830 (1975 Definition) |
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* Used by India since metrication. Clarke's 1865 Indian foot-British foot ratio (0.99999566) and his 1865 British |
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* inch-metre ratio (39.369971) rounded as 1 Ind ft = 0.3047995m exactly applied to Everest's 1830 original |
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* definition taken as a and b. |
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*/ |
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public const EPSG_EVEREST_1830_1975_DEFINITION = 'urn:ogc:def:ellipsoid:EPSG::7045'; |
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/** |
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* Everest 1830 (RSO 1969) |
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* Adopted for 1969 metrication of peninsula Malaysia RSO grid. Uses Sears 1922 yard-metre ratio truncated to 6 |
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* significant figures applied to Everest 1830 original definition of a and 1/f but with a taken to be in British |
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* rather than Indian feet. |
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*/ |
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public const EPSG_EVEREST_1830_RSO_1969 = 'urn:ogc:def:ellipsoid:EPSG::7056'; |
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/** |
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* Everest 1830 Modified |
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* Adopted 1967 for use in West Malaysia. Applies Benoit 1898 inch-metre ratio of 39.370113 to Everest 1830 |
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* original definition of a and 1/f but with a taken to be in British rather than Indian feet. |
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*/ |
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public const EPSG_EVEREST_1830_MODIFIED = 'urn:ogc:def:ellipsoid:EPSG::7018'; |
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/** |
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* GEM 10C |
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* Used for GEM 10C Gravity Potential Model. |
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*/ |
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public const EPSG_GEM_10C = 'urn:ogc:def:ellipsoid:EPSG::7031'; |
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/** |
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* GRS 1967 |
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* Adopted by IUGG 1967 Lucerne. 1/f given is derived from geocentric gravitational constant (GM)= 398603e9 |
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* m*m*m/s/s; dynamic form factor (J2) = 0.0010827 and Earth's angular velocity w = 7.2921151467e-5 rad/s. See also |
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* GRS 1967 Modified (code 7050). |
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*/ |
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public const EPSG_GRS_1967 = 'urn:ogc:def:ellipsoid:EPSG::7036'; |
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/** |
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* GRS 1967 Modified |
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* Based on the GRS 1967 figure (code 7036) but with 1/f taken to 2 decimal places exactly. Used with SAD69 and |
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* TWD67 datums. The dimensions are also used as the Australian National Spheroid (code 7003). |
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*/ |
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public const EPSG_GRS_1967_MODIFIED = 'urn:ogc:def:ellipsoid:EPSG::7050'; |
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/** |
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* GRS 1980 |
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* Adopted by IUGG 1979 Canberra. Inverse flattening is derived from geocentric gravitational constant GM = |
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* 3986005e8 m*m*m/s/s; dynamic form factor J2 = 108263e-8 and Earth's angular velocity = 7292115e-11 rad/s. |
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*/ |
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public const EPSG_GRS_1980 = 'urn:ogc:def:ellipsoid:EPSG::7019'; |
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/** |
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* GRS 1980 Authalic Sphere |
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* Authalic sphere derived from GRS 1980 ellipsoid (code 7019). (An authalic sphere is one with a surface area |
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* equal to the surface area of the ellipsoid). 1/f is infinite. |
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*/ |
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public const EPSG_GRS_1980_AUTHALIC_SPHERE = 'urn:ogc:def:ellipsoid:EPSG::7048'; |
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/** |
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* GSK-2011. |
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*/ |
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public const EPSG_GSK_2011 = 'urn:ogc:def:ellipsoid:EPSG::1025'; |
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/** |
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* Helmert 1906 |
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* Helmert 1906/III solution. |
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*/ |
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public const EPSG_HELMERT_1906 = 'urn:ogc:def:ellipsoid:EPSG::7020'; |
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/** |
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* Hough 1960. |
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*/ |
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public const EPSG_HOUGH_1960 = 'urn:ogc:def:ellipsoid:EPSG::7053'; |
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/** |
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* Hughes 1980 |
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* Used in US DMSP SSM/I microwave sensor processing software. Semi-minor axis derived from |
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* eccentricity=0.081816153. Semi-major axis (a) sometimes given as 3443.992nm which OGP suspects is a derived |
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* approximation. OGP conversion assumes 1nm=1852m exactly. |
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*/ |
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public const EPSG_HUGHES_1980 = 'urn:ogc:def:ellipsoid:EPSG::7058'; |
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/** |
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* IAG 1975. |
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*/ |
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public const EPSG_IAG_1975 = 'urn:ogc:def:ellipsoid:EPSG::7049'; |
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/** |
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* Indonesian National Spheroid |
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* Based on the GRS 1967 figure but with 1/f taken to 3 decimal places exactly. |
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*/ |
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public const EPSG_INDONESIAN_NATIONAL_SPHEROID = 'urn:ogc:def:ellipsoid:EPSG::7021'; |
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273
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|
|
/** |
|
274
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|
|
* International 1924 |
|
275
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|
|
* Adopted by IUGG 1924 in Madrid. Based on Hayford 1909/1910 figures. |
|
276
|
|
|
*/ |
|
277
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|
|
public const EPSG_INTERNATIONAL_1924 = 'urn:ogc:def:ellipsoid:EPSG::7022'; |
|
278
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|
|
|
|
279
|
|
|
/** |
|
280
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|
|
* International 1924 Authalic Sphere |
|
281
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|
|
* Authalic sphere derived from International 1924 ellipsoid (code 7022). |
|
282
|
|
|
*/ |
|
283
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|
|
public const EPSG_INTERNATIONAL_1924_AUTHALIC_SPHERE = 'urn:ogc:def:ellipsoid:EPSG::7057'; |
|
284
|
|
|
|
|
285
|
|
|
/** |
|
286
|
|
|
* Krassowsky 1940. |
|
287
|
|
|
*/ |
|
288
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|
|
public const EPSG_KRASSOWSKY_1940 = 'urn:ogc:def:ellipsoid:EPSG::7024'; |
|
289
|
|
|
|
|
290
|
|
|
/** |
|
291
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|
|
* NWL 9D |
|
292
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|
|
* Used by Transit Precise Ephemeris between October 1971 and January 1987. |
|
293
|
|
|
*/ |
|
294
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|
|
public const EPSG_NWL_9D = 'urn:ogc:def:ellipsoid:EPSG::7025'; |
|
295
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|
|
|
|
296
|
|
|
/** |
|
297
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|
|
* OSU86F |
|
298
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|
|
* Used for OSU86 gravity potential (geoidal) model. |
|
299
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|
|
*/ |
|
300
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|
|
public const EPSG_OSU86F = 'urn:ogc:def:ellipsoid:EPSG::7032'; |
|
301
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|
|
|
|
302
|
|
|
/** |
|
303
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|
|
* OSU91A |
|
304
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|
|
* Used for OSU91 gravity potential (geoidal) model. |
|
305
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|
|
*/ |
|
306
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|
|
public const EPSG_OSU91A = 'urn:ogc:def:ellipsoid:EPSG::7033'; |
|
307
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|
|
|
|
308
|
|
|
/** |
|
309
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|
* PZ-90 |
|
310
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|
|
* Earth's angular velocity ω = 7.292115e-5 rad/sec; gravitational constant GM = 3986004.418e8 m*m*m/s/s. |
|
311
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|
|
*/ |
|
312
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|
|
public const EPSG_PZ_90 = 'urn:ogc:def:ellipsoid:EPSG::7054'; |
|
313
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|
|
|
|
314
|
|
|
/** |
|
315
|
|
|
* Plessis 1817 |
|
316
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|
|
* Rescaling of Delambre 1810 figure (a=6376985 m) to make meridional arc from equator to pole equal to 10000000 |
|
317
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|
|
* metres exactly. (Ref: Strasser). |
|
318
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|
|
*/ |
|
319
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|
|
public const EPSG_PLESSIS_1817 = 'urn:ogc:def:ellipsoid:EPSG::7027'; |
|
320
|
|
|
|
|
321
|
|
|
/** |
|
322
|
|
|
* Struve 1860 |
|
323
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|
|
* Original definition of semi-major axis given as 3272539 toise. In "Ellipsoidisch Parameter der Erdfigur |
|
324
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|
|
* (1800-1950)" , Strasser suggests a conversion factor of 1.94903631 which gives a=6378297.337 metres. |
|
325
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|
|
*/ |
|
326
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|
|
public const EPSG_STRUVE_1860 = 'urn:ogc:def:ellipsoid:EPSG::7028'; |
|
327
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|
|
|
|
328
|
|
|
/** |
|
329
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|
|
* WGS 72. |
|
330
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|
|
*/ |
|
331
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|
|
public const EPSG_WGS_72 = 'urn:ogc:def:ellipsoid:EPSG::7043'; |
|
332
|
|
|
|
|
333
|
|
|
/** |
|
334
|
|
|
* WGS 84 |
|
335
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|
|
* 1/f derived from four defining parameters semi-major axis; C20 = -484.16685*10e-6; earth's angular velocity ω = |
|
336
|
|
|
* 7292115e-11 rad/sec; gravitational constant GM = 3986005e8 m*m*m/s/s. In 1994 new GM = 3986004.418e8 m*m*m/s/s |
|
337
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|
|
* but a and 1/f retained. |
|
338
|
|
|
*/ |
|
339
|
|
|
public const EPSG_WGS_84 = 'urn:ogc:def:ellipsoid:EPSG::7030'; |
|
340
|
|
|
|
|
341
|
|
|
/** |
|
342
|
|
|
* War Office |
|
343
|
|
|
* In non-metric form, a=20926201 Gold Coast feet. DMA Technical Manual 8358.1 and data derived from this quotes |
|
344
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|
|
* value for semi-major axis as 6378300.58m: OGP recommends use of defined value 6378300m exactly. |
|
345
|
|
|
*/ |
|
346
|
|
|
public const EPSG_WAR_OFFICE = 'urn:ogc:def:ellipsoid:EPSG::7029'; |
|
347
|
|
|
|
|
348
|
|
|
/** |
|
349
|
|
|
* Zach 1812 |
|
350
|
|
|
* Defined as log a = 6.5266022 Klafter (Austrian fathom, Kl), log b = 6.5251990 Kl. a=10^6.526 6022 = 3362035 Kl. |
|
351
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|
|
* Then using the Austro-Hungarian 1871 KL/m legal ratio of 1.89648384, a = 6376045m. |
|
352
|
|
|
*/ |
|
353
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|
|
public const EPSG_ZACH_1812 = 'urn:ogc:def:ellipsoid:EPSG::1026'; |
|
354
|
|
|
|
|
355
|
|
|
protected static array $sridData = [ |
|
356
|
|
|
'urn:ogc:def:ellipsoid:EPSG::1024' => [ |
|
357
|
|
|
'name' => 'CGCS2000', |
|
358
|
|
|
'semi_major_axis' => 6378137.0, |
|
359
|
|
|
'semi_minor_axis' => 6356752.314140356, |
|
360
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
361
|
|
|
], |
|
362
|
|
|
'urn:ogc:def:ellipsoid:EPSG::1025' => [ |
|
363
|
|
|
'name' => 'GSK-2011', |
|
364
|
|
|
'semi_major_axis' => 6378136.5, |
|
365
|
|
|
'semi_minor_axis' => 6356751.757955603, |
|
366
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
367
|
|
|
], |
|
368
|
|
|
'urn:ogc:def:ellipsoid:EPSG::1026' => [ |
|
369
|
|
|
'name' => 'Zach 1812', |
|
370
|
|
|
'semi_major_axis' => 6376045.0, |
|
371
|
|
|
'semi_minor_axis' => 6355477.112903226, |
|
372
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
373
|
|
|
], |
|
374
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7001' => [ |
|
375
|
|
|
'name' => 'Airy 1830', |
|
376
|
|
|
'semi_major_axis' => 6377563.396, |
|
377
|
|
|
'semi_minor_axis' => 6356256.909237285, |
|
378
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
379
|
|
|
], |
|
380
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7002' => [ |
|
381
|
|
|
'name' => 'Airy Modified 1849', |
|
382
|
|
|
'semi_major_axis' => 6377340.189, |
|
383
|
|
|
'semi_minor_axis' => 6356034.447938534, |
|
384
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
385
|
|
|
], |
|
386
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7003' => [ |
|
387
|
|
|
'name' => 'Australian National Spheroid', |
|
388
|
|
|
'semi_major_axis' => 6378160.0, |
|
389
|
|
|
'semi_minor_axis' => 6356774.719195306, |
|
390
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
391
|
|
|
], |
|
392
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7004' => [ |
|
393
|
|
|
'name' => 'Bessel 1841', |
|
394
|
|
|
'semi_major_axis' => 6377397.155, |
|
395
|
|
|
'semi_minor_axis' => 6356078.962818189, |
|
396
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
397
|
|
|
], |
|
398
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7005' => [ |
|
399
|
|
|
'name' => 'Bessel Modified', |
|
400
|
|
|
'semi_major_axis' => 6377492.018, |
|
401
|
|
|
'semi_minor_axis' => 6356173.508712696, |
|
402
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
403
|
|
|
], |
|
404
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7007' => [ |
|
405
|
|
|
'name' => 'Clarke 1858', |
|
406
|
|
|
'semi_major_axis' => 20926348.0, |
|
407
|
|
|
'semi_minor_axis' => 20855233.0, |
|
408
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9005', |
|
409
|
|
|
], |
|
410
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7008' => [ |
|
411
|
|
|
'name' => 'Clarke 1866', |
|
412
|
|
|
'semi_major_axis' => 6378206.4, |
|
413
|
|
|
'semi_minor_axis' => 6356583.8, |
|
414
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
415
|
|
|
], |
|
416
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7010' => [ |
|
417
|
|
|
'name' => 'Clarke 1880 (Benoit)', |
|
418
|
|
|
'semi_major_axis' => 6378300.789, |
|
419
|
|
|
'semi_minor_axis' => 6356566.435, |
|
420
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
421
|
|
|
], |
|
422
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7011' => [ |
|
423
|
|
|
'name' => 'Clarke 1880 (IGN)', |
|
424
|
|
|
'semi_major_axis' => 6378249.2, |
|
425
|
|
|
'semi_minor_axis' => 6356515.0, |
|
426
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
427
|
|
|
], |
|
428
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7012' => [ |
|
429
|
|
|
'name' => 'Clarke 1880 (RGS)', |
|
430
|
|
|
'semi_major_axis' => 6378249.145, |
|
431
|
|
|
'semi_minor_axis' => 6356514.8695497755, |
|
432
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
433
|
|
|
], |
|
434
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7013' => [ |
|
435
|
|
|
'name' => 'Clarke 1880 (Arc)', |
|
436
|
|
|
'semi_major_axis' => 6378249.145, |
|
437
|
|
|
'semi_minor_axis' => 6356514.966398753, |
|
438
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
439
|
|
|
], |
|
440
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7014' => [ |
|
441
|
|
|
'name' => 'Clarke 1880 (SGA 1922)', |
|
442
|
|
|
'semi_major_axis' => 6378249.2, |
|
443
|
|
|
'semi_minor_axis' => 6356514.996941779, |
|
444
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
445
|
|
|
], |
|
446
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7015' => [ |
|
447
|
|
|
'name' => 'Everest 1830 (1937 Adjustment)', |
|
448
|
|
|
'semi_major_axis' => 6377276.345, |
|
449
|
|
|
'semi_minor_axis' => 6356075.413140239, |
|
450
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
451
|
|
|
], |
|
452
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7016' => [ |
|
453
|
|
|
'name' => 'Everest 1830 (1967 Definition)', |
|
454
|
|
|
'semi_major_axis' => 6377298.556, |
|
455
|
|
|
'semi_minor_axis' => 6356097.550300896, |
|
456
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
457
|
|
|
], |
|
458
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7018' => [ |
|
459
|
|
|
'name' => 'Everest 1830 Modified', |
|
460
|
|
|
'semi_major_axis' => 6377304.063, |
|
461
|
|
|
'semi_minor_axis' => 6356103.038993155, |
|
462
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
463
|
|
|
], |
|
464
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7019' => [ |
|
465
|
|
|
'name' => 'GRS 1980', |
|
466
|
|
|
'semi_major_axis' => 6378137.0, |
|
467
|
|
|
'semi_minor_axis' => 6356752.314140356, |
|
468
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
469
|
|
|
], |
|
470
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7020' => [ |
|
471
|
|
|
'name' => 'Helmert 1906', |
|
472
|
|
|
'semi_major_axis' => 6378200.0, |
|
473
|
|
|
'semi_minor_axis' => 6356818.169627891, |
|
474
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
475
|
|
|
], |
|
476
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7021' => [ |
|
477
|
|
|
'name' => 'Indonesian National Spheroid', |
|
478
|
|
|
'semi_major_axis' => 6378160.0, |
|
479
|
|
|
'semi_minor_axis' => 6356774.50408554, |
|
480
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
481
|
|
|
], |
|
482
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7022' => [ |
|
483
|
|
|
'name' => 'International 1924', |
|
484
|
|
|
'semi_major_axis' => 6378388.0, |
|
485
|
|
|
'semi_minor_axis' => 6356911.9461279465, |
|
486
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
487
|
|
|
], |
|
488
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7024' => [ |
|
489
|
|
|
'name' => 'Krassowsky 1940', |
|
490
|
|
|
'semi_major_axis' => 6378245.0, |
|
491
|
|
|
'semi_minor_axis' => 6356863.018773047, |
|
492
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
493
|
|
|
], |
|
494
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7025' => [ |
|
495
|
|
|
'name' => 'NWL 9D', |
|
496
|
|
|
'semi_major_axis' => 6378145.0, |
|
497
|
|
|
'semi_minor_axis' => 6356759.769488684, |
|
498
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
499
|
|
|
], |
|
500
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7027' => [ |
|
501
|
|
|
'name' => 'Plessis 1817', |
|
502
|
|
|
'semi_major_axis' => 6376523.0, |
|
503
|
|
|
'semi_minor_axis' => 6355862.933255573, |
|
504
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
505
|
|
|
], |
|
506
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7028' => [ |
|
507
|
|
|
'name' => 'Struve 1860', |
|
508
|
|
|
'semi_major_axis' => 6378298.3, |
|
509
|
|
|
'semi_minor_axis' => 6356657.142669562, |
|
510
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
511
|
|
|
], |
|
512
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7029' => [ |
|
513
|
|
|
'name' => 'War Office', |
|
514
|
|
|
'semi_major_axis' => 6378300.0, |
|
515
|
|
|
'semi_minor_axis' => 6356751.689189189, |
|
516
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
517
|
|
|
], |
|
518
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7030' => [ |
|
519
|
|
|
'name' => 'WGS 84', |
|
520
|
|
|
'semi_major_axis' => 6378137.0, |
|
521
|
|
|
'semi_minor_axis' => 6356752.314245179, |
|
522
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
523
|
|
|
], |
|
524
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7031' => [ |
|
525
|
|
|
'name' => 'GEM 10C', |
|
526
|
|
|
'semi_major_axis' => 6378137.0, |
|
527
|
|
|
'semi_minor_axis' => 6356752.314245179, |
|
528
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
529
|
|
|
], |
|
530
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7032' => [ |
|
531
|
|
|
'name' => 'OSU86F', |
|
532
|
|
|
'semi_major_axis' => 6378136.2, |
|
533
|
|
|
'semi_minor_axis' => 6356751.516927429, |
|
534
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
535
|
|
|
], |
|
536
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7033' => [ |
|
537
|
|
|
'name' => 'OSU91A', |
|
538
|
|
|
'semi_major_axis' => 6378136.3, |
|
539
|
|
|
'semi_minor_axis' => 6356751.616592146, |
|
540
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
541
|
|
|
], |
|
542
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7034' => [ |
|
543
|
|
|
'name' => 'Clarke 1880', |
|
544
|
|
|
'semi_major_axis' => 20926202.0, |
|
545
|
|
|
'semi_minor_axis' => 20854895.0, |
|
546
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9005', |
|
547
|
|
|
], |
|
548
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7036' => [ |
|
549
|
|
|
'name' => 'GRS 1967', |
|
550
|
|
|
'semi_major_axis' => 6378160.0, |
|
551
|
|
|
'semi_minor_axis' => 6356774.516090714, |
|
552
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
553
|
|
|
], |
|
554
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7041' => [ |
|
555
|
|
|
'name' => 'Average Terrestrial System 1977', |
|
556
|
|
|
'semi_major_axis' => 6378135.0, |
|
557
|
|
|
'semi_minor_axis' => 6356750.304921594, |
|
558
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
559
|
|
|
], |
|
560
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7042' => [ |
|
561
|
|
|
'name' => 'Everest (1830 Definition)', |
|
562
|
|
|
'semi_major_axis' => 20922931.8, |
|
563
|
|
|
'semi_minor_axis' => 20853374.58, |
|
564
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9080', |
|
565
|
|
|
], |
|
566
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7043' => [ |
|
567
|
|
|
'name' => 'WGS 72', |
|
568
|
|
|
'semi_major_axis' => 6378135.0, |
|
569
|
|
|
'semi_minor_axis' => 6356750.520016094, |
|
570
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
571
|
|
|
], |
|
572
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7044' => [ |
|
573
|
|
|
'name' => 'Everest 1830 (1962 Definition)', |
|
574
|
|
|
'semi_major_axis' => 6377301.243, |
|
575
|
|
|
'semi_minor_axis' => 6356100.230165385, |
|
576
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
577
|
|
|
], |
|
578
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7045' => [ |
|
579
|
|
|
'name' => 'Everest 1830 (1975 Definition)', |
|
580
|
|
|
'semi_major_axis' => 6377299.151, |
|
581
|
|
|
'semi_minor_axis' => 6356098.145120132, |
|
582
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
583
|
|
|
], |
|
584
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7046' => [ |
|
585
|
|
|
'name' => 'Bessel Namibia (GLM)', |
|
586
|
|
|
'semi_major_axis' => 6377397.155, |
|
587
|
|
|
'semi_minor_axis' => 6356078.962818189, |
|
588
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9031', |
|
589
|
|
|
], |
|
590
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7048' => [ |
|
591
|
|
|
'name' => 'GRS 1980 Authalic Sphere', |
|
592
|
|
|
'semi_major_axis' => 6371007.0, |
|
593
|
|
|
'semi_minor_axis' => 6371007.0, |
|
594
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
595
|
|
|
], |
|
596
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7049' => [ |
|
597
|
|
|
'name' => 'IAG 1975', |
|
598
|
|
|
'semi_major_axis' => 6378140.0, |
|
599
|
|
|
'semi_minor_axis' => 6356755.288157528, |
|
600
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
601
|
|
|
], |
|
602
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7050' => [ |
|
603
|
|
|
'name' => 'GRS 1967 Modified', |
|
604
|
|
|
'semi_major_axis' => 6378160.0, |
|
605
|
|
|
'semi_minor_axis' => 6356774.719195306, |
|
606
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
607
|
|
|
], |
|
608
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7051' => [ |
|
609
|
|
|
'name' => 'Danish 1876', |
|
610
|
|
|
'semi_major_axis' => 6377019.27, |
|
611
|
|
|
'semi_minor_axis' => 6355762.5391, |
|
612
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
613
|
|
|
], |
|
614
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7052' => [ |
|
615
|
|
|
'name' => 'Clarke 1866 Authalic Sphere', |
|
616
|
|
|
'semi_major_axis' => 6370997.0, |
|
617
|
|
|
'semi_minor_axis' => 6370997.0, |
|
618
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
619
|
|
|
], |
|
620
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7053' => [ |
|
621
|
|
|
'name' => 'Hough 1960', |
|
622
|
|
|
'semi_major_axis' => 6378270.0, |
|
623
|
|
|
'semi_minor_axis' => 6356794.343434343, |
|
624
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
625
|
|
|
], |
|
626
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7054' => [ |
|
627
|
|
|
'name' => 'PZ-90', |
|
628
|
|
|
'semi_major_axis' => 6378136.0, |
|
629
|
|
|
'semi_minor_axis' => 6356751.361745712, |
|
630
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
631
|
|
|
], |
|
632
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7055' => [ |
|
633
|
|
|
'name' => 'Clarke 1880 (international foot)', |
|
634
|
|
|
'semi_major_axis' => 20926202.0, |
|
635
|
|
|
'semi_minor_axis' => 20854895.0, |
|
636
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9002', |
|
637
|
|
|
], |
|
638
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7056' => [ |
|
639
|
|
|
'name' => 'Everest 1830 (RSO 1969)', |
|
640
|
|
|
'semi_major_axis' => 6377295.664, |
|
641
|
|
|
'semi_minor_axis' => 6356094.667915204, |
|
642
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
643
|
|
|
], |
|
644
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7057' => [ |
|
645
|
|
|
'name' => 'International 1924 Authalic Sphere', |
|
646
|
|
|
'semi_major_axis' => 6371228.0, |
|
647
|
|
|
'semi_minor_axis' => 6371228.0, |
|
648
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
649
|
|
|
], |
|
650
|
|
|
'urn:ogc:def:ellipsoid:EPSG::7058' => [ |
|
651
|
|
|
'name' => 'Hughes 1980', |
|
652
|
|
|
'semi_major_axis' => 6378273.0, |
|
653
|
|
|
'semi_minor_axis' => 6356889.449, |
|
654
|
|
|
'uom' => 'urn:ogc:def:uom:EPSG::9001', |
|
655
|
|
|
], |
|
656
|
|
|
]; |
|
657
|
|
|
|
|
658
|
|
|
private static array $cachedObjects = []; |
|
659
|
|
|
|
|
660
|
|
|
protected Length $semiMajorAxis; |
|
661
|
|
|
|
|
662
|
|
|
protected Length $semiMinorAxis; |
|
663
|
|
|
|
|
664
|
461 |
|
protected string $name; |
|
665
|
|
|
|
|
666
|
461 |
|
protected string $srid; |
|
667
|
461 |
|
|
|
668
|
461 |
|
public function __construct(Length $semiMajorAxis, Length $semiMinorAxis, string $name = '', string $srid = '') |
|
669
|
|
|
{ |
|
670
|
59791 |
|
$this->semiMajorAxis = $semiMajorAxis; |
|
671
|
|
|
$this->semiMinorAxis = $semiMinorAxis; |
|
672
|
59791 |
|
$this->name = $name; |
|
673
|
|
|
$this->srid = $srid; |
|
674
|
|
|
} |
|
675
|
189 |
|
|
|
676
|
|
|
public function getSemiMajorAxis(): Length |
|
677
|
189 |
|
{ |
|
678
|
|
|
return $this->semiMajorAxis; |
|
679
|
|
|
} |
|
680
|
59665 |
|
|
|
681
|
|
|
public function getSemiMinorAxis(): Length |
|
682
|
59665 |
|
{ |
|
683
|
|
|
return $this->semiMinorAxis; |
|
684
|
|
|
} |
|
685
|
44903 |
|
|
|
686
|
|
|
public function getFlattening(): float |
|
687
|
44903 |
|
{ |
|
688
|
|
|
return ($this->semiMajorAxis->getValue() - $this->semiMinorAxis->getValue()) / $this->semiMajorAxis->getValue(); |
|
689
|
|
|
} |
|
690
|
59548 |
|
|
|
691
|
|
|
public function getInverseFlattening(): float |
|
692
|
59548 |
|
{ |
|
693
|
|
|
return 1 / $this->getFlattening(); |
|
694
|
|
|
} |
|
695
|
54994 |
|
|
|
696
|
|
|
public function getEccentricity(): float |
|
697
|
54994 |
|
{ |
|
698
|
9 |
|
return sqrt($this->getEccentricitySquared()); |
|
699
|
|
|
} |
|
700
|
|
|
|
|
701
|
54985 |
|
public function getEccentricitySquared(): float |
|
702
|
443 |
|
{ |
|
703
|
|
|
return (2 * $this->getFlattening()) - $this->getFlattening() ** 2; |
|
704
|
443 |
|
} |
|
705
|
443 |
|
|
|
706
|
443 |
|
public function getName(): string |
|
707
|
|
|
{ |
|
708
|
|
|
return $this->name; |
|
709
|
|
|
} |
|
710
|
54985 |
|
|
|
711
|
|
|
public function getSRID(): string |
|
712
|
|
|
{ |
|
713
|
9 |
|
return $this->srid; |
|
714
|
|
|
} |
|
715
|
9 |
|
|
|
716
|
9 |
|
public static function fromSRID(string $srid): self |
|
717
|
9 |
|
{ |
|
718
|
|
|
if (!isset(static::$sridData[$srid])) { |
|
719
|
|
|
throw new UnknownEllipsoidException($srid); |
|
720
|
9 |
|
} |
|
721
|
|
|
|
|
722
|
|
|
if (!isset(self::$cachedObjects[$srid])) { |
|
723
|
|
|
$data = static::$sridData[$srid]; |
|
724
|
|
|
|
|
725
|
|
|
self::$cachedObjects[$srid] = new static( |
|
726
|
|
|
Length::makeUnit($data['semi_major_axis'], $data['uom']), |
|
727
|
|
|
Length::makeUnit($data['semi_minor_axis'], $data['uom']), |
|
728
|
|
|
$data['name'], |
|
729
|
|
|
$srid, |
|
730
|
|
|
); |
|
731
|
|
|
} |
|
732
|
|
|
|
|
733
|
|
|
return self::$cachedObjects[$srid]; |
|
734
|
|
|
} |
|
735
|
|
|
|
|
736
|
|
|
public static function getSupportedSRIDs(): array |
|
737
|
|
|
{ |
|
738
|
|
|
$supported = []; |
|
739
|
|
|
foreach (static::$sridData as $srid => $data) { |
|
740
|
|
|
$supported[$srid] = $data['name']; |
|
741
|
|
|
} |
|
742
|
|
|
|
|
743
|
|
|
return $supported; |
|
744
|
|
|
} |
|
745
|
|
|
|
|
746
|
|
|
public static function registerCustomEllipsoid(string $srid, string $name, float $semiMajorAxis, float $semiMinorAxis, string $uomSrid): void |
|
747
|
|
|
{ |
|
748
|
|
|
self::$sridData[$srid] = ['name' => $name, 'semi_major_axis' => $semiMajorAxis, 'semi_minor_axis' => $semiMinorAxis, 'uom' => $uomSrid]; |
|
749
|
|
|
} |
|
750
|
|
|
} |
|
751
|
|
|
|
dvdoug /
PHPCoord
