EPSG:1064

Point motion (geocentric Cartesian)

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Data source: OGP

Information source: EPSG guidance note #7-2, http://www.epsg.org

Revision date: 2017-09-23

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Definition: OGP XML

<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;iogp-method-1064&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<span class="nt">&lt;/epsg:informationSource&gt;</span> <span class="nt">&lt;epsg:revisionDate&gt;</span>2017-09-23<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::2016.060&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::1052&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::1053&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::1054&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:example&gt;</span>Given a point with geocentric Cartesian 3D coordinates at coordinate epoch 2005.00 and having linear velocities: X = 2845456.0813 m VX = –0.0212 m/yr Y = 2160954.2453 m VY = +0.0124 m/yr Z = 5265993.2296 m VZ = +0.0072 m/yr t = 2005.00 (years) whose coordinates are required at coordinate epoch 2010.00. X(t=2010.00) = 2845456.0813 + (–0.0212) * (2010.00 - 2005.00) Y(t=2010.00) = 2160954.2453 + (+0.0124) * (2010.00 - 2005.00) Z(t=2010.00) = 5265993.2296 + (+0.0072) * (2010.00 - 2005.00) Then X = 2845455.9753 m Y = 2160954.3073 m Z = 5265993.2656 m t = 2010.00 (years)<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;IOGP&quot;</span><span class="nt">&gt;</span>urn:ogc:def:method:EPSG::1064<span class="nt">&lt;/gml:identifier&gt;</span> <span class="nt">&lt;gml:name&gt;</span>Point motion (geocentric Cartesian)<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 Cartesian coordinates of a point at coordinate epoch t1 may be calculated at any other coordinate epoch t2 from: [X(t2)] = [X(t1)] + (t2 - t1) * [Vx] [Y(t2)] = [Y(t1)] + (t2 - t1) * [Vy] [Z(t2)] = [Z(t1)] + (t2 - t1) * [Vz]<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::1052&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::1053&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::1054&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="iogp-method-1064">
   <gml:metaDataProperty>
      <epsg:CommonMetaData>
         <epsg:informationSource>EPSG guidance note #7-2, http://www.epsg.org</epsg:informationSource>
         <epsg:revisionDate>2017-09-23</epsg:revisionDate>
         <epsg:changes>
            <epsg:changeID xlink:href="urn:ogc:def:change-request:EPSG::2016.060" />
         </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::1052" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::1053" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::1054" />
         <epsg:example>Given a point with geocentric Cartesian 3D coordinates at coordinate epoch 2005.00 and having linear velocities: 
X = 2845456.0813 m		VX = –0.0212 m/yr
Y = 2160954.2453 m		VY = +0.0124 m/yr
Z = 5265993.2296 m		VZ = +0.0072 m/yr
t = 2005.00 (years)				
whose coordinates are required at coordinate epoch 2010.00. 

X(t=2010.00) = 2845456.0813 + (–0.0212) * (2010.00 - 2005.00)
Y(t=2010.00) = 2160954.2453 + (+0.0124) * (2010.00 - 2005.00)
Z(t=2010.00) = 5265993.2296 + (+0.0072) * (2010.00 - 2005.00)

Then
X = 2845455.9753 m
Y = 2160954.3073 m
Z = 5265993.2656 m
t = 2010.00 (years)</epsg:example>
      </epsg:CoordinateOperationMethodMetaData>
   </gml:metaDataProperty>
   <gml:identifier codeSpace="IOGP">urn:ogc:def:method:EPSG::1064</gml:identifier>
   <gml:name>Point motion (geocentric Cartesian)</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 Cartesian coordinates of a point at coordinate epoch t1 may be calculated at any other coordinate epoch t2 from:

[X(t2)] = [X(t1)] + (t2 - t1) * [Vx]
[Y(t2)] = [Y(t1)] + (t2 - t1) * [Vy]
[Z(t2)] = [Z(t1)] + (t2 - t1) * [Vz]</gml:formula>
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::1052" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::1053" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::1054" />
</gml:OperationMethod>