How much is the coordinate measured by total station affected by rainy and foggy weather?

rainy and foggy weather is not suitable for measurement.

Because the total station calculates the distance by laser reflection, in rainy and foggy weather, the air humidity is high, and the moisture in the air exists in the form of small droplets. These small droplets make the laser refract and scatter continuously during the propagation process, resulting in inaccurate ranging and large measurement data error

What you described, the measurement error of 3 or 4cm in sunny and rainy days is reasonable. The measured data in rainy and foggy days are unreliable, and can not be used for calculation and control.