EPSG:9617

Madrid to ED50 polynomial

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Data source: OGP

Information source: EPSG guidance note #7-2, http://www.epsg.org, after Institut de Geomatica; Barcelona.

Revision date: 2011-07-10

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<div class="syntax"><pre><span class="cp">&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;</span> <span class="nt">&lt;gml:OperationMethod</span> <span class="na">xmlns:epsg=</span><span class="s">&quot;urn:x-ogp:spec:schema-xsd:EPSG:1.0:dataset&quot;</span> <span class="na">xmlns:gml=</span><span class="s">&quot;http://www.opengis.net/gml/3.2&quot;</span> <span class="na">xmlns:xlink=</span><span class="s">&quot;http://www.w3.org/1999/xlink&quot;</span> <span class="na">gml:id=</span><span class="s">&quot;ogp-method-9617&quot;</span><span class="nt">&gt;</span> <span class="nt">&lt;gml:metaDataProperty&gt;</span> <span class="nt">&lt;epsg:CommonMetaData&gt;</span> <span class="nt">&lt;epsg:informationSource&gt;</span>EPSG guidance note #7-2, http://www.epsg.org, after Institut de Geomatica; Barcelona.<span class="nt">&lt;/epsg:informationSource&gt;</span> <span class="nt">&lt;epsg:revisionDate&gt;</span>2011-07-10<span class="nt">&lt;/epsg:revisionDate&gt;</span> <span class="nt">&lt;epsg:changes&gt;</span> <span class="nt">&lt;epsg:changeID</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:change-request:EPSG::1999.284&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:changeID</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:change-request:EPSG::1999.820&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:changeID</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:change-request:EPSG::1999.640&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:changeID</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:change-request:EPSG::2006.910&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:changeID</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:change-request:EPSG::2011.003&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:changeID</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:change-request:EPSG::2011.057&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;/epsg:changes&gt;</span> <span class="nt">&lt;epsg:show&gt;</span>true<span class="nt">&lt;/epsg:show&gt;</span> <span class="nt">&lt;epsg:isDeprecated&gt;</span>false<span class="nt">&lt;/epsg:isDeprecated&gt;</span> <span class="nt">&lt;/epsg:CommonMetaData&gt;</span> <span class="nt">&lt;/gml:metaDataProperty&gt;</span> <span class="nt">&lt;gml:metaDataProperty&gt;</span> <span class="nt">&lt;epsg:CoordinateOperationMethodMetaData&gt;</span> <span class="nt">&lt;epsg:isOperationReversible&gt;</span>false<span class="nt">&lt;/epsg:isOperationReversible&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8623&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8624&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8625&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8626&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8638&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8639&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8640&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8641&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8642&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:example&gt;</span>Input point coordinate system: Madrid 1870 (Madrid) (geographic 3D) Latitude = 42 deg 38 min 52.77 sec N = 42.647992 degrees Longitude = 3 deg 39 min 34.57 sec E of Madrid = +3.659603 degrees from the Madrid meridian. Height = 0 m For the north zone transformation: A0 = 11.328779 A1 = -0.1674 A2 = -0.03852 A3 = 0.0000379 B00 = -13276.58 B0 = 2.5079425 B1 = 0.08352 B2 = -0.00864 B3 = -0.0000038 dLat = +4.05 seconds Then ED50 latitude = 42 deg 38 min 52.77 sec N + 4.05sec = 42 deg 38 min 56.82 sec N dLon = -13270.54 seconds = -3 deg 41 min 10.54 sec Then ED50 longitude = 3 deg 39 min 34.57 sec E - 3 deg 41 min 10.54 sec = 0 deg 01 min 35.97 sec W of Greenwich.<span class="nt">&lt;/epsg:example&gt;</span> <span class="nt">&lt;/epsg:CoordinateOperationMethodMetaData&gt;</span> <span class="nt">&lt;/gml:metaDataProperty&gt;</span> <span class="nt">&lt;gml:identifier</span> <span class="na">codeSpace=</span><span class="s">&quot;OGP&quot;</span><span class="nt">&gt;</span>urn:ogc:def:method:EPSG::9617<span class="nt">&lt;/gml:identifier&gt;</span> <span class="nt">&lt;gml:name&gt;</span>Madrid to ED50 polynomial<span class="nt">&lt;/gml:name&gt;</span> <span class="nt">&lt;gml:formula&gt;</span>Note: These formulas have been transcribed from EPSG Guidance Note #7-2. Users are encouraged to use that document rather than the text which follows as reference because limitations in the transcription will be avoided. The polynomial expressions are: dLat seconds = A0 + (A1*lat) + (A2*lon) + (A3*H) dLon seconds = B00 + B0 + (B1*lat) + (B2*lon) + (B3*H) where latitude lat and longitude lon are in decimal degrees referred to the Madrid 1870 (Madrid) geographic coordinate reference system and H is gravity-related height in metres. B00 is the longitude (in seconds) of the Madrid meridian measured from the Greenwich meridian; it is the value to be applied to a longitude relative to the Madrid meridian to transform it to a longitude relative to the Greenwich meridan. The results of these expressions are applied through the formulae: Lat(ED50) = Lat(M1870(M)) + dLat and Lon(ED50) = Lon(M1870(M)) + dLon.<span class="nt">&lt;/gml:formula&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8623&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8624&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8625&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8626&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8638&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8639&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8640&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8641&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8642&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;/gml:OperationMethod&gt;</span> </pre></div> 
<?xml version="1.0" encoding="UTF-8"?>
 <gml:OperationMethod xmlns:epsg="urn:x-ogp:spec:schema-xsd:EPSG:1.0:dataset" xmlns:gml="http://www.opengis.net/gml/3.2" xmlns:xlink="http://www.w3.org/1999/xlink" gml:id="ogp-method-9617">
   <gml:metaDataProperty>
      <epsg:CommonMetaData>
         <epsg:informationSource>EPSG guidance note #7-2, http://www.epsg.org, after Institut de Geomatica; Barcelona.</epsg:informationSource>
         <epsg:revisionDate>2011-07-10</epsg:revisionDate>
         <epsg:changes>
            <epsg:changeID xlink:href="urn:ogc:def:change-request:EPSG::1999.284" />
            <epsg:changeID xlink:href="urn:ogc:def:change-request:EPSG::1999.820" />
            <epsg:changeID xlink:href="urn:ogc:def:change-request:EPSG::1999.640" />
            <epsg:changeID xlink:href="urn:ogc:def:change-request:EPSG::2006.910" />
            <epsg:changeID xlink:href="urn:ogc:def:change-request:EPSG::2011.003" />
            <epsg:changeID xlink:href="urn:ogc:def:change-request:EPSG::2011.057" />
         </epsg:changes>
         <epsg:show>true</epsg:show>
         <epsg:isDeprecated>false</epsg:isDeprecated>
      </epsg:CommonMetaData>
   </gml:metaDataProperty>
   <gml:metaDataProperty>
      <epsg:CoordinateOperationMethodMetaData>
         <epsg:isOperationReversible>false</epsg:isOperationReversible>
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8623" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8624" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8625" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8626" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8638" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8639" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8640" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8641" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8642" />
         <epsg:example>Input point coordinate system: Madrid 1870 (Madrid) (geographic 3D)
   Latitude    =  42 deg 38 min 52.77 sec N 
                    = 42.647992 degrees
   Longitude  =    3 deg 39 min 34.57 sec E of Madrid
                     = +3.659603 degrees from the Madrid meridian.
   Height        =  0 m

For the north zone transformation:
A0 = 11.328779
A1 = -0.1674
A2 = -0.03852
A3 = 0.0000379
B00 = -13276.58
B0 = 2.5079425
B1 = 0.08352
B2 = -0.00864
B3 = -0.0000038

dLat = +4.05 seconds

Then ED50 latitude = 42 deg 38 min 52.77 sec N + 4.05sec = 42 deg 38 min 56.82 sec N


dLon = -13270.54 seconds  = -3 deg 41 min 10.54 sec

Then ED50 longitude = 3 deg 39 min 34.57 sec E - 3 deg 41 min 10.54 sec = 0 deg 01 min 35.97 sec W of Greenwich.</epsg:example>
      </epsg:CoordinateOperationMethodMetaData>
   </gml:metaDataProperty>
   <gml:identifier codeSpace="OGP">urn:ogc:def:method:EPSG::9617</gml:identifier>
   <gml:name>Madrid to ED50 polynomial</gml:name>
   <gml:formula>Note: These formulas have been transcribed from EPSG Guidance Note #7-2. Users are encouraged to use that document rather than the text which follows as reference because limitations in the transcription will be avoided.

The polynomial expressions are:

      dLat seconds = A0 + (A1*lat) + (A2*lon) + (A3*H)
      dLon seconds = B00 + B0 + (B1*lat) + (B2*lon) + (B3*H)

where latitude lat and longitude lon are in decimal degrees referred to the Madrid 1870 (Madrid) geographic coordinate reference system and H is gravity-related height in metres.  B00 is the longitude (in seconds) of the Madrid meridian measured from the Greenwich meridian; it is the value to be applied to a longitude relative to the Madrid meridian to transform it to a longitude relative to the Greenwich meridan.

The results of these expressions are applied through the formulae:
Lat(ED50) = Lat(M1870(M))  + dLat
and Lon(ED50) = Lon(M1870(M))  + dLon.</gml:formula>
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8623" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8624" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8625" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8626" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8638" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8639" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8640" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8641" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8642" />
</gml:OperationMethod>