Altex Parameters: 3.000000 : (vel) Foward speed, knots. 10.000000 : (deltaR) Rudder angle, Deg. 2.000000 : (tdeltaR) Rudder slew stop time, Sec. 52.000000 : (Tp) Thrust, Newtons. 795.000000 : (mass) Mass, kg. 4.190000 : (len) Length, Meters. 0.533400 : (dia) Diameter, Meters. 21.000000 : (dia) Diameter, Inches. 0.000000 : (xG) x CG offset, Meters. -0.127000 : (xPcp) Dist from pivot to ring CP, Meters. -5.000000 : (xPcp) Dist from pivot to ring CP, In. 0.095250 : (aR) Rudder Actuator Offset, m 3.750000 : (aR) Rudder Actuator Offset, In. 0.119600 : (ControlArea) Control surface Area, Meters^2. 185.380371 : (ControlArea) Control surface Area, Inches^2. 0.307122 : (TotalArea) Area of ring and struts, M^2. 4.260000 : (Ar) Ring/strut aspect ratio. 0.723000 : (Cdc) Crossflow drag coefficient 0.006500 : (Cd0) Constant component of drag coeff. 0.900000 : (Ef) Oswald efficiency factor. 3.392000 : (dCl) Coeff. of lift slope. -1.885500 : (xR) Distance from CG to CP of ring, Meters. -1.758500 : (xP) Distance from CG to pivot point, Meters. 709.164469 : (Izz) Inertia about (principal) z axis, kg-m^2. 22.618987 : (Ixx) Inertia about (principal) x axis, kg-m^2. -59.853025 : (Xudot) Deriv of X wrto u-dot, kg. 126.965545 : (Xrv) Deriv of x wrto rv, kg. -28.674628 : (Xrr) Deriv of x wrto rr, N-sec^2. -21.431931 : (Xuu) Deriv of x wrto uu, kg/m. 88.433587 : (Xvv) Deriv of x wrto vv, kg/m. -149.897250 : (Nr) Deriv of N wrto r, kg-m. -632.025000 : (Nv) Deriv of N wrto v (Munk Moment), kg. 50.880000 : (Yr) Deriv of Y wrto r, kg. -94.868735 : (Yv) Deriv of Y wrto v, kg/m. -636.000000 : (Yvdot) Deriv of Y wrto v-dot (Added Mass),kg. -567.331575 : (Nrdot) Deriv of N wrto r-dot (Added Inr),kg-m^2. 0.000000 : (Yrdot) Deriv of Y wrto r-dot. 0.000000 : (Nvdot) Deriv of N wrto v-dot. 0.000000 : (Yvabsr) Deriv of Y wrto r|v|. -557.828162 : (Yvabsv) Deriv of Y wrto v|v|. 273.480000 : (Nvabsv) Deriv of N wrto v|v|. -983.975515 : (Nrabsr) Deriv of N wrto r|r|. -------------Open Loop Linear Analysis:------------- Steady-State Values of the OPEN LOOP Linear Model: The rudder angle is 10 Deg. The CG drift angle is 18.9976 Deg. The turn rate is -15.2823 Deg/Sec The turn diameter is 11.5724 Meters or 2.7619 vehicle lengths. The control-torque component about the CG is -179.4053 N-m The control-torque component about the pivot point is -11.0091 N-m The total steady-state torque about the CG is 437.4424 N-m The total steady-state torque about the pivot point is 30.5394 N-m The eigenvalues are: evals = -0.2035 -1.2034 The natural frequency, damping ratio, and time constant are: f_n , damping ratio, time constant ans = 0.0324 1.0000 4.9145 0.1915 1.0000 0.8310 -------------Closed Loop Linear Analysis:------------- The full order (w/ kinematics) open-loop sway system e-values are: evals = 0 0 -0.2035 -1.2034 -------------Simulation of Nonlinear EOM:------------- Simulation Initialization: MSwayInv [0][0] = 6.988120e-04 MSwayInv [0][1] = -0.000000e+00 MSwayInv [1][0] = 0.000000e+00 MSwayInv [1][1] = 7.833945e-04 P[4] = 7.950000e+02 P[5] = 8.548530e+02 P[6] = 1.543333e+00 P[7] = -1.885500e+00 P[8] = -1.758500e+00 P[9] = 9.525000e-02 P[10] = 3.392000e+00 P[11] = 1.697183e-01 P[12] = 6.500000e-03 P[13] = 8.302292e-02 P[14] = 6.147440e+01 P[15] = 1.269655e+02 P[16] = -2.867463e+01 P[17] = -2.143193e+01 P[18] = 8.843359e+01 P[19] = -9.486874e+01 P[20] = 5.088000e+01 P[21] = 0.000000e+00 P[22] = -5.578282e+02 P[23] = 0.000000e+00 P[24] = -6.320250e+02 P[25] = -1.498973e+02 P[26] = 0.000000e+00 P[27] = 2.734800e+02 P[28] = -9.839755e+02 P[29] = 0.000000e+00 ------- Nonlinear Steady-State Analysis: ---------- -0.000001 : Computed vSS, Meters/Sec -0.000004 : Simulated vSS, Meters/Sec 52.000000 : Tp. MUST BE ZERO, or else this analysis does not apply. 0.000026 : Yaw rate, Deg/Sec. 6863979.053626 : Turn Diameter, Meters. -0.000032 : Beta, Deg/Sec. -0.000063 : BetaR, Deg/Sec. 0.000390 : Rudder force resolved to body y axis, Newtons. 0.002167 : Simulated Rudder force, Newtons. 1.544212 1.556450 : uSS [Sim Comp], m/sec.