EPSG:1064

Point motion (geocentric Cartesian)

Attributes

Data source: EPSG

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

Revision date: 2017-09-23

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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]

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)
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