I'm using a published state plane system with a ground scale factor applied. When setting up my job I pick the relevant coordinate system and zone for where I am working, and then I refer to our states DOT handbook to find the appropriate ground scale factor for where I am. Here is what it says in the handbook:
Distance example:
A project is located in Burleigh County. The Burleigh County conversion factor (cf) is 0.9998515. The 1/cf factor is
1.0001485221.
1. To determine the ground distance from the grid distance, divide the grid distance by the conversion factor.
The distance on the grid is 5279.22 feet.
What is the ground distance?
5279.22 / 0.9998515 = 5280 feet
The ground distance is 5280 feet.
2. To determine the grid distance from a ground distance, multiply the ground distance by the conversion factor.
The distance on the ground is 5280 feet.
What is the grid distance?
5280 * 0.9998515 = 5279.22 feet
The grid distance is 5279.22 feet
NOTE: One (1) divided by the conversion factor will provide a ground factor that when multiplied by the grid
distances will determine the ground distances.
5279.22 * 1.0001485221 = 5280 feet
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Coordinate example:
A project is located in Burleigh County. It has the same conversion factors as the example above.
1. To determine the ground coordinates (DOT Burleigh County Coordinate System) from the grid coordinates.
Multiply the grid coordinates by 1.0001485221.
Grid Coordinates * Burleigh County conversion factor (1/cf) = Ground coordinate
421,173.7664 N * 1.0001485221 = 421,236.3200 Y
1,889,225.8327 E * 1.0001485221 = 1,889,506.4245 X
2. To determine the grid coordinate (State Plane coordinate) from the ground coordinates.
Multiply the ground coordinates by 0.9998515.
Ground coordinate * Burleigh County conversion factor (cf) = Grid coordinate (state plane-South Zone)
421,236.3200 Y * 0.9998515 = 421,173.7664 N
1,889,506.4245 X * 0.9998515 = 1,889,225.8328 E
It is always a good idea to hand calculate the conversions back and forth for at least one GPS control point, then
compare those values with what is given from the GPS processing software normally used. This will insure the
correct local site settings are properly entered.
Is this the correct way of doing it or is our DOT wrong?
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Tyler Bohl
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Original Message:
Sent: 12-15-2022 14:33
From: Marian Plucinski
Subject: TBC not applying Ground Scale Factor correctly
Projection Scale Factors are applied to LENGHTS not COORDINATES.
What you're referring to is is SCALE for HELMERT TRANSORMATION with ORIGIN at (0,0).
This is not how projections work, they do not use helmet transformations.
I don't quite understand what you mean by just the coordinate system and scale factor.
Do you want to use Published Coordinate System or do you want to define custom Local Coordinate System (Local Site in TBC)?
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Marian
Original Message:
Sent: 12-15-2022 10:50
From: Tyler Bohl
Subject: TBC not applying Ground Scale Factor correctly
Hello, I'm looking for some insight as to how TBC and trimble access apply the ground scale factor that I input. I started a job in NAD83 2011 adjustment with a ground scale factor of 1.0001485221 entered. If I take this scale factor x my grid base point coordinates I should come up with:
421,173.7664 N * 1.0001485221 = 421,236.3200 N
1,889,225.8327 E * 1.0001485221 = 1,889,506.4245 E
But, when trimble access or TBC transform my base point with the entered scale factor I get:
421235.811 N
1889214.274
Any idea as to how its calculating those numbers? I'd like to be able to set up jobs with just the coordinate system and scale factor but if its not transforming the data correctly I might have to set up a different template.
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Tyler Bohl
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