Improve geolocation docs with rotation diagram and scale explanation

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Dion Moult
2022-06-19 17:53:30 +10:00
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@@ -81,29 +81,42 @@ Northings, Orthogonal Height, and **Grid North**.
are trained to work in **Map Coordinates**, it is safer to work with local are trained to work in **Map Coordinates**, it is safer to work with local
engineering coordinates and consult your surveyor for professional guidance. engineering coordinates and consult your surveyor for professional guidance.
**Map Conversions** contain three types of parameters. The **Eastings**, **Map Conversions** contain six parameters.
**Northings** and **Orthogonal Height** parameters define the translation from
the model's XYZ coordinates to map Eastings, Northings, and Heights. The **X **Eastings**, **Northings** and **Orthogonal Height** parameters define the
Axis Abcissa** and **X Axis Ordinate** define the rotation vector from **Project translation from the model's XYZ coordinates to map **Eastings**, **Northings**,
North** to **Grid North**. The **Scale** defines the average combined scale and **Heights**. Your model's local engineering origin at 0, 0, 0, will always
factor across the small 1km site that converts from the model's surface convert exactly to the **Easting**, **Northing**, and **Orthogonal Height**
distances to map grid distances. Note that the **Scale** is actually not a displayed in this panel.
constant. However, for the small sites dealt with in vertical construction, it
may be approximated to be a constant by your surveyor and will typically be a The **X Axis Abcissa** and **X Axis Ordinate** define the rotation vector from
value close to, but not exactly 1. Your model's local engineering origin at 0, **Project North** to **Grid North**. These two numbers combine into a coordinate
0, 0, will always convert exactly to the **Easting**, **Northing**, and vector pointing along the X axis (i.e. **Project East**). The default is an
**Orthogonal Height** displayed in this panel. abscissa of 1 and ordinate of 0. This default (1, 0) vector implies **Project
East** and **Grid East** coalign, which means there is no rotation between
**Project North** and **Grid North**.
.. image:: xaxisabscissaordinate.png
.. tip:: .. tip::
The rotation from **Project North** to **Grid North** are shown using the **X To save you the mental struggle of converting to degrees, a calculated
Axis Abcissa** and **X Axis Ordinate**. It sounds strange, but these two rotation is always just below these values. Phew!
numbers combine into a coordinate vector pointing along the X axis (i.e.
East). For example, an abscissa of 1 and an ordinate of 0 gives the vector of The distance measured on site, or the "surface distance" is actually not the
(1, 0), which points directly in the +X direction, due East. This vector same as the distance measured between Eastings and Northings. This difference is
means there is no rotation between **Project North** to **Grid North**. To provided by the **Scale** parameter. The **Scale** defines the average combined
save you the mental struggle of converting this vector to degrees, a scale factor across the small 1km site that converts from the model's surface
calculated rotation is always just below these values. Phew! distances to map grid distances. Note that the **Scale** is actually not a
constant. However, for the small sites dealt with in vertical construction, it
may be approximated to be a constant by your surveyor and will typically be a
value close to, but not exactly 1.
.. note::
Always check that the surveyor provides a scale factor such that surface
distance multiplied by **Scale** equals map grid distances (as opposed to
the other way around).
Working with Map Coordinates Working with Map Coordinates
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