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...Rigid body dynamics nobuyuki umetani march contents angularvelocity and parametrization of d rotation variation a matrix angular velocity vector equation motion for bodies derived using the hamilton principle massandthecenter gravity mechanical energy potential kinetic constraint derivation equations by action in this section we discuss about time derivative is just note to keep mind what i learned when was msc student let s investigate r satises rtr computing as follows t rt sym therefore can be seen an antisymmetric because its symmetric componentis sinceitisanantisymmetricmatrix itcanbeexpressedasfollowsusing appropriate tilde symbol vect although has various parameterization methods it very complicated that itself expressed simply actually there another kind display start from variations identity before rrt rr component which shows antisym metric since found variance vectorized two vectors asfollows notations variational meaning means each change being rotated after slight initial ...