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Survey Measurement Correction Formulas

The survey corrections are calculated using the following formulas.

Curvature and Refraction Formula

The following formula calculates the vertical angle (in radians):

where:

  • OVA: Old vertical angle (in radians)
  • VA: Vertical angle (in radians)
  • SD: Slope distance
  • R: Spheroid radius (if a coordinate system zone is set, this value is obtained from the zone)
  • k: Coefficient of refraction

Atmospheric Conditions Formula

The following formula determines the slope distance:

where:

  • OSD: Old slope distance
  • SD: Slope distance
  • C: Constant for the EDM carrier (for example, Sokkia Lietz 0.86)
  • P: Atmospheric pressure in mm Hg
  • RI: Group refractive index for EDM carrier (for example, Sokkia Lietz 287.96)
  • T: Dry air temperature in degrees Celsius

Sea Level Formula

The following formula calculates the horizontal distance at sea level:

where:

  • OHD: Old horizontal distance
  • HD: Horizontal distance
  • SE: Station elevation
  • R: Spheroid radius (if a coordinate system zone is set, this value is obtained from the zone)

Collimation Formulas

The following formulas determine the collimation:

Horizontal collimation:

  • For FACE 1: Horizontal Angle = Measured Horizontal Angle + Horizontal Collimation Error
  • For FACE 2: Horizontal Angle = Measured Horizontal Angle - Horizontal Collimation Error

Vertical collimation (all vertical angles are converted to zenith):

  • For FACE 1: Vertical Angle = Measured Vertical Angle + Vertical Collimation Error
  • For FACE 2: Vertical Angle = Measured Vertical Angle - Vertical Collimation Error

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