Survey Engineering

Total Station Horizontal Distance Standard Deviation Estimator (Atmospheric Correction Applied) calculator

Total Station Horizontal Distance Standard Deviation Estimator (Atmospheric Correction Applied) engineering calculator.

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

Quick Answer

Calculate Total Station Horizontal Distance Standard Deviation Estimator (Atmospheric Correction Applied)

Calculator

Horizontal Distance Standard Deviation (m)
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Result Interpretation

Total Station Horizontal Distance Standard Deviation Estimator (Atmospheric Correction Applied) calculator computes Horizontal Distance Standard Deviation in m using the defined engineering formula and the input values provided. Horizontal Distance Standard Deviation is expressed in m. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Measured Horizontal Distance = 50
  • Standard Deviation of Refraction Coefficient = 0.04
  • Instrument Distance Measurement Standard Deviation = 0.002
  • Atmospheric Model Residual Standard Deviation = 0.001

Expected Result:

  • Horizontal Distance Standard Deviation = 2.0000012499996

Engineering Interpretation:

Under the given input conditions, the calculated result is: Horizontal Distance Standard Deviation = 2.0000012499996 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

horizontal distance standard deviation = sqrt(pow(standard deviation of refraction coefficient, 2) * pow(measured horizontal distance, 2) + pow(instrument distance measurement standard deviation, 2) + pow(atmospheric model residual standard deviation, 2))

Formula family: formula_survey_total_station_horizontal_distance_standard_deviation_estimator_atmospheric_correction_applied

Variables

SymbolLabelRoleDescription
horizontal_distance Measured Horizontal Distance INPUT Measured Horizontal Distance
k_refraction_std Standard Deviation of Refraction Coefficient INPUT Standard Deviation of Refraction Coefficient
sigma_instrument Instrument Distance Measurement Standard Deviation INPUT Instrument Distance Measurement Standard Deviation
sigma_atmospheric_model Atmospheric Model Residual Standard Deviation INPUT Atmospheric Model Residual Standard Deviation
horizontal_distance_standard_deviation Horizontal Distance Standard Deviation OUTPUT Horizontal Distance Standard Deviation

Calculation Steps

  1. Enter the measured horizontal distance in m.
  2. Enter the standard deviation of refraction coefficient in 1.
  3. Enter the instrument distance measurement standard deviation in m.
  4. Enter the atmospheric model residual standard deviation in m.
  5. Step 1: Compute horizontal distance standard deviation.
  6. Read the horizontal distance standard deviation (m) from the results.

Engineering Summary

Calculate Total Station Horizontal Distance Standard Deviation Estimator (Atmospheric Correction Applied)

Frequently Asked Questions

What does this calculator calculate?

The Total Station Horizontal Distance Standard Deviation Estimator (Atmospheric Correction Applied) calculator estimates Horizontal Distance Standard Deviation based on the input parameters you provide

Why is measured horizontal distance important in this calculation?

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

How should I interpret the result horizontal distance standard deviation?

The calculator outputs horizontal 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: Measured Horizontal Distance (m), Instrument Distance Measurement Standard Deviation (m), Atmospheric Model Residual Standard Deviation (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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