摘要
A vectrix cross-product operator identity is presented which shows thesymmetrical relationship between a column matrix and a vectrix. The kinematics ofvectrices and other commonly used relations are then easily obtained with it. The timederivative of the transformation matrix is extended to a more general form ofexpression. The results can be used conveniently in the modeling of flight dynamics inwhich many reference frames must be used.
A vectrix cross-product operator identity is presented which shows thesymmetrical relationship between a column matrix and a vectrix. The kinematics ofvectrices and other commonly used relations are then easily obtained with it. The timederivative of the transformation matrix is extended to a more general form ofexpression. The results can be used conveniently in the modeling of flight dynamics inwhich many reference frames must be used.
基金
.'andEq.(24)isforthecaseofknownfo,a'Eq.(25)ismoregeneralthan(23).3.3RelationsbetweenangularvelocitycomPOnentsandtheablederivativesoftheEuleranglesAmorestraightforwardmethodisofferedheretogettherelationsbetweenangularvelocitycomponentsandthet
