Question #403426 on Yade changed:
https://answers.launchpad.net/yade/+question/403426

    Status: Open => Answered

Bruno Chareyre proposed the following answer:
Hi,
I understand the meaning my not be immediate but it is actually relatively 
simple.
Let w be the spin vector of the grain pair.
Decompose this spin into normal and orthonormal components w= w_n + w_t. the 
rotation of any vector quantity attached to the pair can be approximated  by v 
= v + w×v  = v + w_n×v + w_t×v (cross products)
In the doc the first cross-product is called  (△uT) 2 and the second one is 
called  (△uT) 1.
Bruno

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