STABILITY
& CONTROL SUMMARY
PARAMETERS USED FOR NONDIMENSIONALIZATION |
|
|
LONGITUDINAL
STABILITY DERIVATIVES (FIXED-WING) |
| |
Takeoff Configuration
(0 ft, 65 knots, 46761 lbs) |
Landing Configuration
(0 ft, 55 knots, 33860 lbs) |
Cruise Configuration
(37000 ft, 350 knots, 41000 lbs) |
Derivative |
Cardinal |
Typical Ranges |
Cardinal |
Typical Ranges |
Cardinal |
Typical Ranges |
 (~)
|
0 |
-0.010 to 0.300 |
0 |
-0.010 to 0.300 |
0 |
-0.010 to 0.300 |
 (~)
|
0.0275 |
-0.20 to 0.60 |
0.0274 |
-0.20 to 0.60 |
0.1766 |
-0.20 to 0.60 |
 (~)
|
0.0041 |
-0.400 to 0.600 |
0.0029 |
-0.400 to 0.600 |
0.0281 |
-0.400 to 0.600 |
 (rad-1)
|
2.34 |
0 to 2.00 |
2.37 |
0 to 2.00 |
0.2731 |
0 to 2.00 |
 (rad-1)
|
3.92 |
1.00 to 8.00 |
3.92 |
1.00 to 8.00 |
4.3147 |
1.00 to 8.00 |
 (rad-1)
|
-0.56 |
-4.00 to 1.00 |
-0.56 |
-4.00 to 1.00 |
-0.4716 |
-4.00 to 1.00 |
 (rad-1)
|
0 |
0 |
0 |
0 |
0 |
0 |
 (rad-1)
|
1.61 |
-5.0 to 15.0 |
1.61 |
-5.0 to 15.0 |
2.0240 |
-5.0 to 15.0 |
 (rad-1)
|
-3.17 |
0 to -20.0 |
-3.16 |
0 to –20.0 |
-3.9668 |
0 to -20.0 |
 (rad-1)
|
0 |
0 |
0 |
0 |
0 |
0 |
 (rad-1)
|
5.15 |
0 to 30.0 |
5.15 |
0 to 30.0 |
6.19 |
0 to 30.0 |
 (rad-1)
|
-5.91 |
0 to -90.0 |
-5.90 |
0 to –90.0 |
-6.7478 |
0 to -90.0 |
|
LONGITUDINAL
CONTROL DERIVATIVES (FIXED-WING) |
| |
Takeoff Configuration
(0 ft, 65 knots, 46761 lbs) |
Landing Configuration
(0 ft, 55 knots, 33860 lbs) |
Cruise Configuration
(37000 ft, 350 knots, 41000 lbs) |
Derivative |
Cardinal |
Typical Ranges |
Cardinal |
Typical Ranges |
Cardinal |
Typical Ranges |
 (rad-1)
|
0.4003 |
0 |
0.6701 |
0 |
0.0480 |
0 |
 (rad-1)
|
0.6706 |
0 to 1.20 |
0.4046 |
0 to 1.20 |
0.7592 |
0 to 1.20 |
 (rad-1)
|
-1.3179 |
0 to –8.0 |
-1.3168 |
0 to -8.0 |
-1.4880 |
0 to -8.0 |
 (rad-1)
|
0.1448 |
0 |
0.1465 |
0 |
0.0138 |
0 |
 (rad-1)
|
0.2425 |
0 to 0.60 |
0.2427 |
0 to 0.60 |
0.2186 |
0 to 0.60 |
 (rad-1)
|
-0.4766 |
0 to –4.0 |
-0.4769 |
0 to -4.0 |
-0.4284 |
0 to -4.0 |
|
LATERAL-DIRECTIONAL
STABILITY DERIVATIVES (FIXED-WING) |
| |
Takeoff Configuration
(0 ft, 65 knots, 46761 lbs) |
Landing Configuration
(0 ft, 55 knots, 33860 lbs) |
Cruise Configuration
(370000 ft, 350 knots, 41000 lbs) |
Derivative |
Cardinal |
Typical Ranges |
Cardinal |
Typical Ranges |
Cardinal |
Typical Ranges |
 (rad-1)
|
-0.7366 |
-0.100 to -2.00 |
-0.7366 |
-0.100 to -2.00 |
-0.7366 |
-0.100 to -2.00 |
 (rad-1)
|
-0.2147 |
0.100 to -0.400 |
-0.1858 |
0.100 to -0.400 |
-0.2148 |
0.100 to -0.400 |
 (rad-1)
|
0.2007 |
0 to 0.400 |
0.2027 |
0 to 0.400 |
0.1973 |
0 to 0.400 |
 (rad-1)
|
-0.0186 |
- |
-0.0452 |
- |
-0.0201 |
- |
 (rad-1)
|
-0.0057 |
- |
-0.0110 |
- |
-0.0062 |
- |
 (rad-1)
|
-0.0197 |
- |
-0.0250 |
- |
-0.0105 |
- |
 (rad-1)
|
0.0412 |
-0.300 to 0.800 |
0.0578 |
-0.300 to 0.800 |
0 |
-0.300 to 0.800 |
 (rad-1)
|
-0.3914 |
-0.100 to -0.800 |
-0.4504 |
-0.100 to -0.800 |
-0.3698 |
-0.100 to-0.800 |
 (rad-1)
|
-0.2638 |
-0.500 to 0.100 |
-0.2730 |
-0.500 to 0.100 |
-0.0316 |
-0.500 to 0.100 |
 (rad-1)
|
0.4737 |
0 to 1.2 |
0.4737 |
0 to 1.2 |
0.4695 |
0 to 1.2 |
 (rad-1)
|
0.8187 |
0 to 0.600 |
0.8089 |
0 to 0.600 |
0.2025 |
0 to 0.600 |
 (rad-1)
|
-0.5552 |
0 to -1.00 |
-0.5553 |
0 to -1.00 |
-0.2635 |
0 to -1.00 |
|
LATERAL-DIRECTIONAL
CONTROL DERIVATIVES (FIXED-WING) |
| |
Takeoff Configuration
(0 ft, 65 knots, 46761 lbs) |
Landing Configuration
(0 ft, 55 knots, 33860 lbs) |
Cruise Configuration
(37000 ft, 350 knots, 41000 lbs) |
Derivative |
Cardinal |
Typical Ranges |
Cardinal |
Typical Ranges |
Cardinal |
Typical Ranges |
 (rad-1)
|
0 |
0 |
0 |
0 |
0 |
0 |
 (rad-1)
|
0.0566 |
0 to 0.400 |
0.0566 |
0 to 0.400 |
0.0588 |
0 to 0.400 |
 (rad-1)
|
-0.0567 |
-0.080 to 0.080 |
-0.0566 |
-0.080 to 0.080 |
-0.0092 |
-0.080 to 0.080 |
 (rad-1)
|
0.1418 |
0 to 0.500 |
0.1420 |
0 to 0.500 |
0.1191 |
0 to 0.500 |
 (rad-1)
|
0.0015 |
-0.040 to 0.040 |
-0.0012 |
-0.040 to 0.040 |
0.0069 |
-0.040 to 0.040 |
 (rad-1)
|
-0.0779 |
0 to -0.150 |
-0.0780 |
0 to –0.150 |
-0.0649 |
0 to -0.150 |
 (rad-1)
|
0 |
- |
0 |
- |
0 |
- |
 (rad-1)
|
0.0057 |
- |
0.0057 |
- |
0.0059 |
- |
 (rad-1)
|
1.1080 |
- |
1.1080 |
- |
1.1080 |
- |
|
FIXED-WING
FREQUENCIES & DAMPING RATIOS |
| |
Takeoff Configuration
(0 ft, 65 knots, 46761 lbs) |
Landing Configuration
(0 ft, 55 knots, 33860 lbs) |
Cruise Configuration
(37000 ft, 350 knots, 41000 lbs) |
| Longitudinal Modes |
| Short Period |
 = 2.3 rad/sec
 = 0.37 (~)
|
= 2.2 rad/sec
= 0.35 (~) |
= 4.61 rad/sec
= 0.74 (~) |
| Phugoid |
 = 0.032 rad/sec
 = 0.043 (~)
|
= 0.031 rad/sec
= 0.041 (~) |
= 0.134 rad/sec
= 0.05 (~) |
| Lateral-Directional Modes |
| Spiral Time Constant |
Ts = 153.2 sec |
Ts = 150.5 sec |
Ts = 94.6 sec |
| Roll Time Constant |
Tr = 0.953 sec |
Tr = 1.02 sec |
Tr = 0.82 sec |
| Dutch Roll |
 = 1.2416 rad/sec
 = 0.1869 (~)
|
= 1.08 rad/sec
= 0.21 (~) |
= 2.63 rad/sec
= 0.0803 (~) |
|
FIXED-WING
MINIMUM CONTROL SPEED |
| Speed |
Cardinal Design |
Stall speed, Vs
|
75 ft/sec |
1.2 Vs
|
90 ft/sec |
Minimum Control Speed, Vmc
|
90 ft/sec |
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STABILITY
& CONTROL CALCULATIONS |
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