Author: Bruce Jackson
Created: 28-MAR-2002
Reference 1. Stevens, Brian L. and Lewis, Frank L.: Aircraft Control and Simulation. ISBN O-471-61397-5, 1992.
Reference 2. Garza, Fredrico R.; and Morelli, Eugene A.: A Collection of Nonlinear Aircraft Simulations in MATLAB. NASA TM-2003-212145, JAN-2003.
Reference 3. Morelli, Eugene A.: f16_aero.m. 17-JUN-1995.
Reference 4. Morelli, Eugene A.: f16_aero_setup.m. 17-JUN-1995.
| Symbol | Name | Units | Sign | Initial value | Depends on |
|---|---|---|---|---|---|
| absbeta | deg | | beta |
||
| Absolute value of angle-of-sideslip, deg. | |||||
| absCl0 | | ||||
| Absolute value of rolling moment coefficient | |||||
| absCn0 | | ||||
| Absolute value of yawing moment coefficient | |||||
| Angle_of_Attack_deg | α | deg | | ||
| Instantaneous true angle-of-attack, in degrees | |||||
| Angle_of_Sideslip_deg | β | deg | +wind in right ear | | |
| Instantaneous true angle-of-sideslip, in degrees | |||||
| b2v | | bspan tvt |
|||
| Wing span over 2 times velocity. Used for coefficient normalization. | |||||
| bspan | ft | 30. | |||
| Length of aerodynamic span, ft | |||||
| cbar | ft | 11.32 | |||
| Length of aerodynamic chord, ft | |||||
| Cl0 | +right wing down | | absCl0 absCl0 beta |
||
| Basic coefficient of moment around the X-body direction (roll) (+RWD) | |||||
| Cl1 | | clt dail dclda dcldr drdr |
|||
| Initial value of rolling moment, less damping terms | |||||
| ClDA | per deg | +right/+left | | ||
| Control power derivative: rolling moment per deg of aileron deflection | |||||
| ClDR | per deg | +right/+left | | ||
| Control power derivative: rolling moment per deg of rudder deflection | |||||
| CLL | +RWD | | b2v cl1 clp clr p r |
||
| Total coefficient of moment around the body X-axis (rolling moment) | |||||
| CLM | +ANU | | cmq cmt cq2v cz xcg xcgr |
||
| Total coefficient of moment around the body Y-axis (pitching moment) | |||||
| CLN | +ANR | | b2v bspan cbar cn1 cnp cnr cy p r xcg xcgr |
||
| Total coefficient of moment around the body Z-axis (yawing moment) | |||||
| Clp | per rad | +right/+right | | ||
| Damping derivative: rolling moment increment per radian/sec of roll rate | |||||
| Clr | per rad | +right/+right | | ||
| Damping derivative: rolling moment increment per radian/sec of yaw rate | |||||
| Cm0 | +nose up | | |||
| Basic coefficient of moment around the Y-body direction (pitch) (+ANU) | |||||
| Cmq | per rad | +up/+up | | ||
| Damping derivative: pitching moment increment per radian/sec of pitch rate | |||||
| Cn | | cnt dail dcnda dcndr drdr |
|||
| Initial value of rolling moment coefficient without damping terms | |||||
| Cn0 | +nose right | | absCn0 absCn0 beta |
||
| Basic coefficient of moment around the Z-body direction (yaw) (+RWD) | |||||
| CnDA | per deg | +right/+left | | ||
| Control power derivative: yawing moment per deg of aileron deflection | |||||
| CnDR | per deg | +right/+left | | ||
| Control power derivative: yawing moment per deg of rudder deflection | |||||
| Cnp | per rad | +right/+right | | ||
| Damping derivative: yawing moment increment per radian/sec of roll rate | |||||
| Cnr | per rad | +right/+right | | ||
| Damping derivative: yawing moment increment per radian/sec of yaw rate | |||||
| cq2v | | cbar q tvt |
|||
| Chord times pitch rate over 2 times velocity. Used to normalize aero coefficients. | |||||
| CX | +FWD | | cq2v cxq cxt |
||
| Total coefficient of force along the body X-axis. | |||||
| CX0 | +forward | | |||
| Basic coefficient of force in the X-body direction (+FWD). Function table based on angle of attack and elevator deflection. | |||||
| CXq | per rad | +fwd/+up | | ||
| Damping derivative: axial force increment per radian/sec of pitch rate | |||||
| CY | +RIGHT | | b2v cy0 cyp cyr p r |
||
| Total coefficient of force along the body Y-axis | |||||
| CY0 | +right | | beta dail drdr |
||
| Basic coefficient of force in the Y-body direction (+right). Function of sideslip angle, aileron and rudder deflection. | |||||
| CYp | per rad | +right/+right | | ||
| Damping derivative: lateral force increment per radian/sec of roll rate | |||||
| CYr | per rad | +right/+right | | ||
| Damping derivative: lateral force increment per radian/sec of yaw rate | |||||
| CZ | +DOWN | | cq2v cz1 czq |
||
| Total coefficient of force along the body Z-axis. | |||||
| CZ0 | +down | | |||
| Basic coefficient of force in the Z-body direction (+DWN). Function table based on angle of attack and elevator deflection. | |||||
| CZ1 | +down | | beta czt del rtd |
||
| Coefficient of force in the Z-body direction, modified from basic CZ0 to include effects of sideslip and elevator deflection. | |||||
| CZq | per rad | +down/+up | | ||
| Damping derivative: vertical force increment per radian/sec of pitch rate | |||||
| dail | | ail |
|||
| Normalized aileron deflection. | |||||
| del | | el |
|||
| Normalized elevator deflection (note range is beyond breakpoint range) | |||||
| delta aileron | δa | deg | +left roll | | |
| Aileron deflection angle, in degrees (+LWD) | |||||
| delta elevator | δe | deg | +trailing edge down | | |
| Elevator deflection angle, in degrees (+ED) | |||||
| delta rudder | δr | deg | +TEL | | |
| Rudder deflection angle, in degrees (+TEL) | |||||
| drdr | | rdr |
|||
| Normalized rudder deflection. | |||||
| rtd | deg/rad | | |||
| Conversion constant from radians to degrees | |||||
| s_Body_Pitch_Rate_rad_p_s | q | rad/sec | +aircraft nose up | | |
| Body pitch rate, rad/sec | |||||
| s_Body_Roll_Rate_rad_p_s | p | rad/sec | +right wing down | | |
| Body roll rate, rad/sec | |||||
| s_Body_Yaw_Rate_rad_p_s | r | rad/sec | +aircraft nose right | | |
| Body yaw rate, rad/sec | |||||
| True_Airspeed_f_p_s | ft/sec | | |||
| True airspeed, ft/sec | |||||
| tvt | ft/sec | | vt |
||
| Twice velocity. | |||||
| Xcg | fract | +aft | | ||
| CG location relative to wing leading edge, expressed as a fraction of aerodynamic chord length | |||||
| xcgr | fract | 0.35 | |||
| Default location of center of gravity relative to wing leading edge, expressed as a fraction of aerodynamic chord length. | |||||
| Basic Cl | absCl0 = f(absbeta, α) | |
| where: | 0.0 <= absbeta <= 30.0; extrapolate neither | |
| -10.0 <= α <= 45.0; extrapolate neither | ||
| Basic coefficient of rolling moment as a function of angle of attack and sideslip angle | ||
| Basic Cm | Cm0 = f(δe, α) | |
| where: | -24.0 <= δe <= 24.0; extrapolate neither | |
| -10.0 <= α <= 45.0; extrapolate neither | ||
| Basic coefficient of pitching-moment as a function of angle of attack and elevator | ||
| Basic Cn | absCn0 = f(absbeta, α) | |
| where: | 0.0 <= absbeta <= 30.0; extrapolate neither | |
| -10.0 <= α <= 45.0; extrapolate neither | ||
| Basic coefficient of yawing moment as a function of angle of attack and sideslip angle | ||
| Basic CX | CX0 = f(δe, α) | |
| where: | -24.0 <= δe <= 24.0; extrapolate neither | |
| -10.0 <= α <= 45.0; extrapolate neither | ||
| Basic coefficient of X-force table as a function of angle of attack and elevator | ||
| Basic CZ | CZ0 = f(α) | |
| where: | -10.0 <= α <= 45.0; extrapolate neither | |
| Basic coefficient of Z-force table as a function of angle of attack | ||
| Clp | Clp = f(α) | |
| where: | -10.0 <= α <= 45.0; extrapolate neither | |
| Damping derivative: rolling moment due to roll rate as a function of angle-of-attack | ||
| Clr | Clr = f(α) | |
| where: | -10.0 <= α <= 45.0; extrapolate neither | |
| Damping derivative: rolling moment due to yaw rate as a function of angle-of-attack | ||
| Cmq | Cmq = f(α) | |
| where: | -10.0 <= α <= 45.0; extrapolate neither | |
| Damping derivative: pitching moment due to pitch rate as a function of angle-of-attack | ||
| Cnp | Cnp = f(α) | |
| where: | -10.0 <= α <= 45.0; extrapolate neither | |
| Damping derivative: yawing moment due to roll rate as a function of angle-of-attack | ||
| Cnr | Cnr = f(α) | |
| where: | -10.0 <= α <= 45.0; extrapolate neither | |
| Damping derivative: yawing moment due to yaw rate as a function of angle-of-attack | ||
| CXq | CXq = f(α) | |
| where: | -10.0 <= α <= 45.0; extrapolate neither | |
| Damping derivative: axial force due to pitch rate as a function of angle-of-attack | ||
| CYp | CYp = f(α) | |
| where: | -10.0 <= α <= 45.0; extrapolate neither | |
| Damping derivative: lateral force due to roll rate as a function of angle-of-attack | ||
| CYr | CYr = f(α) | |
| where: | -10.0 <= α <= 45.0; extrapolate neither | |
| Damping derivative: lateral force due to yaw rate as a function of angle-of-attack | ||
| CZq | CZq = f(α) | |
| where: | -10.0 <= α <= 45.0; extrapolate neither | |
| Damping derivative: normal force due to pitch rate as a function of angle-of-attack | ||
| dlda | ClDA = f(β, α) | |
| where: | -30.0 <= β <= 30.0; extrapolate neither | |
| -10.0 <= α <= 45.0; extrapolate neither | ||
| Rolling moment increment due to aileron deflection as a function of angles of attack and sideslip | ||
| dldr | ClDR = f(β, α) | |
| where: | -30.0 <= β <= 30.0; extrapolate neither | |
| -10.0 <= α <= 45.0; extrapolate neither | ||
| Rolling moment increment due to rudder deflection as a function of angles of attack and sideslip | ||
| dnda | CnDA = f(β, α) | |
| where: | -30.0 <= β <= 30.0; extrapolate neither | |
| -10.0 <= α <= 45.0; extrapolate neither | ||
| Yawing moment increment due to aileron deflection as a function of angles of attack and sideslip | ||
| dndr | CnDR = f(β, α) | |
| where: | -30.0 <= β <= 30.0; extrapolate neither | |
| -10.0 <= α <= 45.0; extrapolate neither | ||
| Yawing moment increment due to rudder deflection as a function of angles of attack and sideslip | ||