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By N.F. Krasnov
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Extra info for Aerodynamics
The definition of the aerodynamic centres hased 011 the angle of attack "lid the elevator deflection angle and introducing the corr~pollding coordinates XFa, and X"'II' we find the ("oelflciellt of the moment ahout tile centre of mass. 24) where XF~ = x,/b and X-;6 = the aerodynamic centres. i2 PI. I. 1I':eory. Aeroclyn~mics of en Airfoil end I Wing t .... Static Equilibrium and Static Stability CDncept of Equilibrium and Sfilllility The stllte of static equilibrium is determined by the flight conditiol\;:; and the corresponding force action at which the overall aerodynllluic moment abont the centre of mass in the absence of rotation and wHh the angle of attack and the sideslip angle remaining constant is zel'O (l'1 = 0).
Of the derivativ(>s Ill} lind III~ coincide. li0n('c. ill 1\1I,,1~'~ilJg roJlilig motion. we ran lise the derivativc m~ kno\\'1l as the ('o('rfll'h'nt (df'gred of static rolling stabiJHy. liuf1 .. 11I~:). "tabilitr: al /liD> > o. il has static instability. and when =-- O. l1('utrality. 'Jip unglll~. At lhe same time. : own night. <: disturbances. it does not retlll"n to its pn'\"iom' me ti8 PI. I. Theory. Aerodynamics 01 an Airfoil and a Wing direction, hilt like a weathercock. turns with its nose part in the direction of the new vleocity vector V.
19) holds, however, for a spl101etric configuration provided with all elevator deflected through a certain angle Be (see Figs. 5). 11) where mf _. : iJc/rJa, m~~' umz:dB". e = '-- (lcy,'dB". If a conJigHl"Mioll j:; III 1 liot ~rllll\lell"ic, = m:o -:- ell = cyo lhen 1n1a ...!... ·atol defit;'('U(}TI angle nud proportional to this angle is known as the t'lcutor·dt'11ection aerodynamic ct'ntre. The moment of the forces about. a lateral axi~ pa~sing through lhis centre is e"ideutly indL"pendent of the anglo be' In the geJleral ense for nil o:-;ymmelric.