Positioning Error Budget Calculator

Calculate the total positioning error at your point of interest from Abbe, cosine, and thermal error sources.

Inputs
Individual Error Sources
Abbe error (pitch)
ε = offset × pitch angle
1.250µm
Abbe error (yaw)
ε = offset × yaw angle
1.250µm
Cosine error
ε = travel × (1 − cos α)
3.808µm
Thermal error
ε = CTE × stage length × ΔT
4.620µm
Total Error
RSS (root sum of squares)
6.242µm
Worst-case (linear sum)
10.93µm
Error Contribution
Abbe (pitch)1.250 µmAbbe (yaw)1.250 µmCosine3.808 µmThermal4.620 µm
Dominant Error Source

Thermal drift is your dominant error — consider temperature-controlled enclosure or Invar stage material

Abridged Optics — Positioning Error Budget Calculator v1.0Conversion: 1 arc-sec = 4.8481 × 10⁻⁶ rad

All information, equations, and calculations have been compiled and verified to the best of our ability. For mission-critical applications, we recommend independent verification of all values. If you find an error, please let us know.