Transcription of Chapter 4
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Chapter 4 Dynamical Equations for FlightVehiclesThese notes provide a systematic background of the derivation of the equations of motionfor a flight vehicle, and their linearization. The relationship between dimensional stabilityderivatives and dimensionless aerodynamic coefficients is presented, and the principalcontributions to all important stability derivatives for flight vehicles having left/rightsymmetry are Basic Equations of MotionThe equations of motion for a flight vehicle usually are written in a body-fixed coordinate is convenient to choose the vehicle center of mass as the origin for this system, and the orientationof the (right-handed) system of coordinate axes is chosen byconvention so that, as illustrated inFig.
38 CHAPTER 4. DYNAMICAL EQUATIONS FOR FLIGHT VEHICLES The other products of inertia, Ixy and Iyz, are automatically zero by vehicle symmetry. When all products of inertia are equal to zero, the axes are said to be principal axes. ... BASIC EQUATIONS OF MOTION 41 Thus, the rotation matrix from the inertial frame to the body fixed system is seen ...
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