Given the mass of the booster, any guess to speed of wind gusts required to move Super Heavy?
Short answer: Typical sustained winds at Boca Chica won't be a problem. Gusts of 30 mph would be a concern.
Long answer:
I found a simple
wind load calculator. It takes a wind velocity and surface area to give a load in Newtons. I'm sure the idea is that you've got a flat plate of a certain surface area, with the wind hitting it.
The cross section of the booster is 639 m2, and so I used that as the area of the flat plate. For the purpose of this very rough calculation, the angle won't matter (it's a cylinder), so the wind is always hitting that plate at 90 degrees.
The average wind speed in Boca Chica in April is 13.7 mph (6.124 m/s). The average over the past five years is 11.7 mph.
The April number gives us 14,095 Newtons of force.
At landing, figure the booster will be at its dry mass (200 tons) plus hover propellant and reserve. The Raptor's propellant mass flow is apparently 650 kg/s of LOX plus 140 kg/s of CH4. A single engine can hover a booster's dry mass, and if we want 30 seconds of hover time plus a 10 second reserve, that's 31.6 tons. I'm ignoring the number of engines running and their throttle levels.
14,683 Newtons applied to a 231 ton vehicle will accelerate it at 0.07 m/s2.
Assume a gust of 30 mph (13.411 m/s). That results in 70,417 Newtons of force. (The force scales by the square of the wind speed)
70,417 Newtons applied to a 231 ton vehicle will accelerate it at 0.34 m/s2.
I doubt that sustained winds would be much of a problem, but a strong gust for a few seconds could get it moving at a couple mph. That could be bad, particularly for the final alignment of a catch.
If we want to get crazy, how about landing in a thunderstorm and getting hit by a microburst? Those are 100 mph, and can be considerably higher. On top of that, they're sustained for several minutes.
A 100 mph wind just pushed it with 782,431 newtons of force. It will accelerate the vehicle at 2.39 m/s. After 10 seconds, it's going to be moving at 53 mph (86 km/h). Well, assuming that the engines didn't counter the acceleration. I'm not going to do the math for the tilt needed to oppose that while trying to hover. This has gone on long enough.