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What is the physics of crosswind landings for large airplanes?

This always confuses me from a physics perspective. Upon touchdown, what is the effect of the wind on a large airplane/airliner (Boeing 737 and above)? Below are three cases I put together to make it easier to explain my confusion:


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No decrab, the wind acts on the tall fin yawing to plane further into the wind at touchdown, and the pilot counters this by pushing the rudder downwind (video).


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The pilot decrabs, overcooks it (or maybe a gust), and the correction is rudder upwind initially (video). My questionable analysis: without this correction, the wind yawing effect on the tall fin would have corrected it (I'm not saying that would be the correct decision). Eventually the pilot settles on rudder downwind like the previous example.


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What I normally read: the wind pushes the aircraft, and the correction is rudder upwind. This AOPA article for instance, shows a drawing with the wind force pushing a [small-er] plane downwind.


Apologies if I butchered the crosswind landings. To summarize:

When the wind acts on the tall fin upon touchdown, is there a yaw effect, or does the wind push the airplane downwind? And what is the rudder correction to be anticipated?

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