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# Symbols

 Ath = Throttle plate open area b = Wingspan c = Length of mean aerodynamic chord [C] = Direction cosine matrix representing aircraft orientation Cij = Components of the direction cosine matrix CD = Discharge coefficient of the engine throttle CT = Propeller coefficient of thrust CP = Propeller coefficient of power required CX, CY, etc. = Nondimensional force and moment coefficients = Stability derivatives and/or polynomial coefficients D = Propeller diameter e0, e1, e2, e3 = Quarternions representing aircraft orientation Ff = Forward friction force exerted on a landing gear tire Fn = Ground normal force exerted on a landing gear tire Fs = Sideward friction force exerted on a landing gear tire (F/A) = Fuel to air mixture ratio g = Acceleration of gravity  ft/s h = Altitude h = Distance from the ground Ip = Propeller polar moment of inertia Ixx, Iyy, Izz = Aircraft moments of inertia Ixy, Ixz, Iyz = Aircraft products of inertia J = Propeller advance ratio L, M, N = Components of the resultant moment on the airplane m = Mass of the airplane mf = Fuel mass = Mass flow rate past the throttle M = Mach number N = Propeller/engine angular speed, revolutions per second p = Outside air pressure pm = Manifold pressure P = Power required by propeller Pe = Excess power delivered to the propeller p, q, r = Components of aircraft angular velocity = Nondimensional components of aircraft angular velocity q = Dynamic pressure Qp = Resultant torque on the propeller r = Distance from the Earth's center R = Gas constant of the air  (ft lb)/(slug  R) S = Wing planform area T = Thrust force T = Outside air temperature Tm = Manifold temperature u, v, w = Components of aircraft velocity ua, va, wa = Wind-relative components of aircraft velocity ug, vg, wg = Components of the velocity of a landing gear tire V = Airspeed Vk = Threshold velocity for static friction Vd = Total displacement of the engine Vm = Volume of the intake manifold X, Y, Z = Components of the resultant force on the aircraft x, y, z = Coordinates in a Cartesian coordinate system xc, yc, zc = Coordinates of the aircraft's CG xg, yg, zg = Coordinates of the bottom of an extended landing gear tire xs = Distance of the screen from user's eyes zp = Body z-coordinate of the propeller shaft = Angle of attack = Angle of sideslip = Compressibility correction factor = Specific heat ratio of the air = Differential aileron deflection = Percent of full brake pressure applied = Elevator deflection = Flap deflection = Leading-edge flap deflection = Rudder deflection = Propeller efficiency = Volumetric efficiency of the engine = Pitch Euler angle = Longitude = Static and kinematic coefficients of friction of tires = Outside air density = Roll Euler angle = Geodetic latitude = Geocentric latitude = Yaw Euler angle

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Carl Banks
2000-08-11