Survey Engineering

Total Station Vertical Distance Standard Deviation with Atmospheric Refraction Correction calculator

Total Station Vertical Distance Standard Deviation with Atmospheric Refraction Correction engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate Total Station Vertical Distance Standard Deviation with Atmospheric Refraction Correction

Calculator

Vertical Distance Standard Deviation (m)
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Result Interpretation

Total Station Vertical Distance Standard Deviation with Atmospheric Refraction Correction calculator computes Vertical Distance Standard Deviation in m using the defined engineering formula and the input values provided. Vertical Distance Standard Deviation is expressed in m. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Corrected Vertical Distance = 100
  • Refraction Coefficient Uncertainty = 0.0001
  • Instrument Vertical Angle Standard Deviation = 0.002
  • Target Centering Standard Deviation = 0.001
  • Atmospheric Gradient Uncertainty Contribution = 0.0025

Expected Result:

  • Vertical Distance Standard Deviation = 0.010547511554864

Engineering Interpretation:

Under the given input conditions, the calculated result is: Vertical Distance Standard Deviation = 0.010547511554864 m.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

vertical distance standard deviation = sqrt(pow(refraction coefficient uncertainty, 2) * pow(corrected vertical distance, 2) + pow(instrument vertical angle standard deviation, 2) + pow(target centering standard deviation, 2) + pow(atmospheric gradient uncertainty contribution, 2))

Formula family: formula_survey_total_station_vertical_distance_standard_deviation_estimator_atmospheric_correction_applied

Variables

SymbolLabelRoleDescription
vertical_distance Corrected Vertical Distance INPUT Corrected Vertical Distance
k_refraction_uncertainty Refraction Coefficient Uncertainty INPUT Refraction Coefficient Uncertainty
sigma_instrument Instrument Vertical Angle Standard Deviation INPUT Instrument Vertical Angle Standard Deviation
sigma_target Target Centering Standard Deviation INPUT Target Centering Standard Deviation
sigma_atmospheric_gradient Atmospheric Gradient Uncertainty Contribution INPUT Atmospheric Gradient Uncertainty Contribution
vertical_distance_standard_deviation Vertical Distance Standard Deviation OUTPUT Vertical Distance Standard Deviation

Calculation Steps

  1. Enter the corrected vertical distance in m.
  2. Enter the refraction coefficient uncertainty in dimensionless.
  3. Enter the instrument vertical angle standard deviation in m.
  4. Enter the target centering standard deviation in m.
  5. Enter the atmospheric gradient uncertainty contribution in m.
  6. Step 1: Compute vertical distance standard deviation.
  7. Read the vertical distance standard deviation (m) from the results.

Engineering Summary

Calculate Total Station Vertical Distance Standard Deviation with Atmospheric Refraction Correction

Frequently Asked Questions

What does this calculator calculate?

The Total Station Vertical Distance Standard Deviation with Atmospheric Refraction Correction calculator estimates Vertical Distance Standard Deviation based on the input parameters you provide

Why is corrected vertical distance important in this calculation?

corrected vertical distance is used directly in the calculation of vertical distance standard deviation. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter corrected vertical distance in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result vertical distance standard deviation?

The calculator outputs vertical distance standard deviation 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: Corrected Vertical Distance (m), Refraction Coefficient Uncertainty (dimensionless), Instrument Vertical Angle Standard Deviation (m), Target Centering Standard Deviation (m), Atmospheric Gradient Uncertainty Contribution (m). 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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