26. Barometer Errors and Calibration

Nd787 C4 L2 A21 Barometer Errors And Calibration V1

Barometer Summary

The barometer is really just an air pressure sensor.

As you increase your altitude, air pressure decreases in a predictable way. By comparing the current air pressure to the air pressure at some known altitude, the barometer can infer the height of the vehicle.

Measurement model

A barometer infers its height h_b from a measurement of pressure, p_b , according to the following equation:

h_b - h_s = \frac{T_s}{k_T}\left[ \left( \frac{p_b}{p_s} \right )^{-\frac{Rk_T}{g_0}}-1 \right ]
Variable Significance
h_b Current height of barometer
h_s Reference (surface) height
p_b Current pressure measurement
p_s Reference pressure
T_s Reference Temperature
R Gas constant (287.1\text{ J kg}^{-1}\text{ K}^{-1})
k_T Atmospheric temperature gradient (6.5 \times 10^{-3} \text{K m}^{-1})
g_0 Surface acceleration due to gravity (9.81 \text{m s}^{-2})