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Pioneer -- Linear Model

Graduate Research done by Jeff Scott
Advisor: Prof. Michael Selig
Applied Aerodynamics Group
Department of Aeronautical and Astronautical Engineering
University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

Last updated April 10, 2000

The linear aerodynamics model uses stability derivatives to approximate actual aircraft behavior. The Pioneer linear model is based on the following flight conditions:

Flight Conditions
Variable Variable
in Code 		Description Units Value(s) Source Notes
h Altitude altitude above sea level ft 0 - assuming sea level
Alpha angle of attack deg 6 Bray pg 33
V V_true_kts velocity (true air speed) kts 66 Bray pg 33
q Dynamic_pressure dynamic pressure lb/ft2 14.7 - assuming sea level
C.G. - center of gravity location % 33 Bray pg 33
CL CL lift coefficient - 0.945 Bray pg 33
CD CD drag coefficient - 0.090 Bray pg 33
Cm Cm pitching moment coefficient - 0.012 Bray pg 33

The data input into the simulator is listed in the following tables:

Geometry
Variable Variable
in Code 		Description Units Value(s) Source Notes
b bw wingspan ft 16.9 Bray pg 33
cbar wing mean aerodynamic chord ft 1.80 Bray pg 33
S Sw wing surface area ft2 30.42 Bray pg 33

Control Surface Geometry
Variable Variable
in Code 		Description Units Value(s) Source Notes
emax demax maximum elevator deflection deg +20 Bray pg 31
emin demin minimum elevator deflection deg -20 Bray pg 31
amax damax maximum aileron deflection deg +20 Bray pg 31
amin damin minimum aileron deflection deg -20 Bray pg 31
rmax drmax maximum rudder deflection deg +20 Bray pg 31
rmin drmin minimum rudder deflection deg -20 Bray pg 31

Mass Data
Variable Variable
in Code 		Description Units Value(s) Source Notes
GTOW Weight gross takeoff weight lb 420 Bray pg 33 converted to Mass
[slug/ft3] in code
Ixx I_xx roll inertia slug ft2 34.832 IAI (manufacturer)
MSS notes
Iyy I_yy pitch inertia slug ft2 67.08 IAI (manufacturer)
MSS notes
Izz I_zz yaw inertia slug ft2 82.22 IAI (manufacturer)
MSS notes
Ixz I_xz lateral cross inertia slug ft2 -4.902 IAI (manufacturer)
MSS notes

Propulsion Data
Variable Variable
in Code 		Description Units Value(s) Source Notes
Tmax simpleSingleMaxThrust maximum thrust lb 150 - approximated from
max power of 27 hp

Aerodynamic Data
Variable Variable
in Code 		Description Units Value(s) Source Notes
CD0 CDo drag coefficient at =0 - 0.060 Bray pg 33
CD CD_a drag curve slope 1/rad 0.430 Bray pg 33
CDe CD_de drag due to elevator 1/rad 0.018 Bray pg 33 e positive down
CL0 CLo lift coefficient at =0 - 0.385 Bray pg 33
CL CL_a lift curve slope 1/rad 4.78 Bray pg 33
CL CL_adot lift due to angle of attack rate 1/rad 2.42 Bray pg 33
CLq CL_q lift due to pitch rate 1/rad 8.05 Bray pg 33
CLe CL_de lift due to elevator 1/rad 0.401 Bray pg 33 e positive down
Cm0 Cmo pitch moment coefficient at =0 - 0.194 Bray pg 33
Cm Cm_a pitch moment due to angle of attack 1/rad -2.12 Bray pg 33
Cm Cm_adot pitch moment due to angle of attack rate 1/rad -11.0 Bray pg 33
Cmq Cm_q pitch moment due to pitch rate 1/rad -36.6 Bray pg 33
Cme Cm_de pitching moment due to elevator 1/rad -1.76 Bray pg 33 e positive down
CY CY_beta side force fue to sideslip angle 1/rad -0.819 Bray pg 33
CYp CY_p side force due to roll rate 1/rad none not available
CYr CY_r side force due to yaw rate 1/rad none not available
CYa CY_da side force due to aileron 1/rad none not available
CYr CY_dr side force due to rudder 1/rad 0.191 Bray pg 33 r positive left
Cl Cl_beta dihedral effect 1/rad -0.023 Bray pg 33
Clp Cl_p roll damping 1/rad -0.450 Bray pg 33
Clr Cl_r roll moment due to yaw rate 1/rad 0.265 Bray pg 33
Cla Cl_da roll moment due to aileron 1/rad -0.161 Bray pg 33 a positive
right aileron up
Clr Cl_dr roll moment due to rudder 1/rad -0.00229 Bray pg 33 r positive left
Cn Cn_beta weathercock stability 1/rad 0.109 Bray pg 33
Cnp Cn_p adverse yaw 1/rad -0.110 Bray pg 33
Cnr Cn_r yaw damping 1/rad -0.200 Bray pg 33
Cna Cn_da yaw moment due to aileron 1/rad 0.020 Bray pg 33 a positive
right aileron up
Cnr Cn_dr yaw moment due to rudder 1/rad -0.0917 Bray pg 33 r positive left

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