Quick Answer
Calculate Geospatial Helmert Transformation Uncertainty Propagator
Calculator
Result Interpretation
Geospatial Helmert Transformation Uncertainty Propagator Calculator computes Total coordinate transformation uncertainty in m using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Translation parameter uncertainty = 0.003
- Rotation parameter uncertainty = 5.0E-7
- Scale factor uncertainty = 2.0E-9
Expected Result:
- Total coordinate transformation uncertainty = 0.0030000000416673
Engineering Interpretation:
Under the given input conditions, the calculated result is: Total coordinate transformation uncertainty = 0.0030000000416673 m.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
total coordinate transformation uncertainty = sqrt(pow(translation parameter uncertainty, 2) + pow(rotation parameter uncertainty, 2) + pow(scale factor uncertainty, 2))Formula family: formula_geospatial_geospatial_coordinate_transformation_uncertainty_propagator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| Translation parameter uncertainty | Translation parameter uncertainty | INPUT | Translation parameter uncertainty |
| Rotation parameter uncertainty | Rotation parameter uncertainty | INPUT | Rotation parameter uncertainty |
| Scale factor uncertainty | Scale factor uncertainty | INPUT | Scale factor uncertainty |
| Total coordinate transformation uncertainty | Total coordinate transformation uncertainty | OUTPUT | Total coordinate transformation uncertainty |
Calculation Steps
- Enter the translation parameter uncertainty in m.
- Enter the rotation parameter uncertainty in rad.
- Enter the scale factor uncertainty in dimensionless.
- Step 1: Compute total coordinate transformation uncertainty.
- Read the total coordinate transformation uncertainty (m) from the results.
Engineering Summary
Calculate Geospatial Helmert Transformation Uncertainty Propagator
Frequently Asked Questions
What does this calculator calculate?
The Geospatial Helmert Transformation Uncertainty Propagator Calculator estimates Total coordinate transformation uncertainty based on the input parameters you provide
Why is translation parameter uncertainty important in this calculation?
translation parameter uncertainty is directly proportional to total coordinate transformation uncertainty. When you enter translation parameter uncertainty in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result total coordinate transformation uncertainty?
The calculator outputs total coordinate transformation uncertainty in m. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Translation parameter uncertainty (m), Rotation parameter uncertainty (rad), Scale factor uncertainty (dimensionless). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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