飛行機の姿勢と経路について

抄録

Originally an airplane is the vehicle which moves toward its nose direction. But strictly speaking, the direction of flight path and that of nose are not the same due to the existence of the angle of attack α and the sideslip angle β (except due to the drift angle). Then, is it possible to control flight attitude (nose direction) and flight path separately by controlling these aerodynamic angles (which are controlled through elevator and rudder)?
We begin with this question and first study qualitatively the relation between "flight attitude and path." And then, their quantitative relations, that is, the relations of attitude angles and path angles (these are EULER angles) are derived in explicit and easily applicable forms by means of both algebraic and geometric methods.