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. : thex-axis lies in the symmetry plane of the vehicle1and points forward; thez-axis lies in the symmetry plane of the vehicle, is perpendicular to thex-axis, and pointsdown; they-axis is perpendicular to the symmetry plane of the vehicle and points out the right precise orientation of thex-axis depends on the application; the two most common choices are: to choose the orientation of thex-axis so that the product of i
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. • to choose the orientation of the x-axis so that it is parallel to the velocity vector for an initial equilibrium ...
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