“…In Figure 2, the matrix q p = [ , , ] T denotes the translation vector of the mantle frame {O 1 ,X 1 ,Y 1 ,Z 1 } with respect to the reference frame {O, X, Y, Z}. q e = [ , , ] T defines an Euler angles system representing orientation of the mantle frame {O 1 ,X 1 ,Y 1 ,Z 1 } in regard to the reference frame {O,X,Y,Z} [16].…”