By N.F. Krasnov
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Extra info for Aerodynamics: Fundamentals of Theory, Aerodynamics of an Airfoil and Wing; Methods of Aerodynamic Calculation
The angle of attack is considered to be positive if the projection of the air velocity onto the normal axis is negative. The sideslip angle is positive if this projection onto the lateral axis is positive. When studying a flight, a normal earth-fixed coordinate system is used relative to which the position of a body moving in space is determined. The origin of coordinates of this system (Fig. 2) coincides with a point on the Earth's surface, for example with the launching point. The axis Ooyg is directed upward along a local vertical, while the axes OOXg and OOZg coincide with a horizontal plane.
Cos B- Y sin ex. cos B+ B Z sin The force and moment components* are converted in a similar way from a flight path to a body axis coordinate system. 1, we obtain the following conversion formulas for tho longitudinal force and the rolling moment: X = Xa cos ex. cos JlJ x = J1xa cos ex. cos B B+ Y a sin ex. - Jl y " sin ex. - Za cos ex. 5) JlJ z " cos ex. 5') We can go over from a local geographical coordinate system (a normal system) to a body axis or flight path one, or vice versa, if we know the cosines of the angles between the corresponding axes.
5) JlJ z " cos ex. 5') We can go over from a local geographical coordinate system (a normal system) to a body axis or flight path one, or vice versa, if we know the cosines of the angles between the corresponding axes. Their values can be determined from Fig. 2 that shows the mutual arrangement of the axes of these coordinate systems. 3. Determination of Aerodynamic Forces and Moments According to the Known Distribution of the Pressure and Shear Stress. Aerodynamic Coefficients Aerodynamic Forces and Moments and Their Coefficients Assume that for a certain angle of attack and sideslip angle, and also for given parameters of the free stream (the speed V 00, static pressure p 00, density p 00, and temperature Too), we know the distribution of the pressure p and shear stress 'L over the surface of the body in the flow.
Aerodynamics: Fundamentals of Theory, Aerodynamics of an Airfoil and Wing; Methods of Aerodynamic Calculation by N.F. Krasnov