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Inertia tensor of rotation

Let R {\displaystyle \mathbf {R} } be the matrix that represents a body's rotation. The inertia tensor of the rotated body is given by: I = R I 0 R T {\displaystyle \mathbf {I} =\mathbf {R} \mathbf {I_{0}} \mathbf {R} ^{\textsf {T}}}