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Aircraft handling qualities data

19730003312 · NASA · 1972

Public domain · NASATechnical Reports

Overview

Available information on weight and inertia, aerodynamic derivatives, control characteristics, and stability augmentation systems is documented for 10 representative contemporary airplanes. Data sources are given for each airplane. Flight envelopes are presented and dimensional derivatives,…

Publisher
NASA
Document
19730003312
Year
1972
Pages
352
Chapters
10

Key points

  • The document provides handling qualities data for 10 contemporary airplanes, including their weight, inertia, aerodynamic derivatives, and control characteristics.
  • Flight envelopes and handling qualities parameters are computed for various flight conditions, including power approach configurations.
  • The aircraft documented include the NT-33A, F-104A, F-4C, X-15, HL-10, Jetstar, CV-880M, B-747, C-5A, and XB-70A.
  • Transfer functions relating the aircraft's response to control inputs are included, along with descriptions of stability augmentation systems.
  • The report is intended for handling qualities investigators and includes detailed tabulations and plots of stability derivatives and control system descriptions.
Frequently asked questions
What is the purpose of this document?

The purpose of this document is to provide handling qualities investigators with readily usable data on several representative contemporary aircraft.

What types of data are included in the report?

The report includes data on weight, inertia, aerodynamic derivatives, control characteristics, and stability augmentation systems for various aircraft.

Which aircraft are documented in the report?

The documented aircraft include the NT-33A, F-104A, F-4C, X-15, HL-10, Jetstar, CV-880M, B-747, C-5A, and XB-70A.

What kind of flight conditions are considered in the report?

The report presents data for 10 different flight conditions, including configurations such as fuel load, flaps, and gear, as well as Mach/altitude combinations.

Are the data in the report based on actual flight tests?

The aerodynamic coefficients are based on rigid wind tunnel data, estimated flexible data, or flight test results, depending on availability.

SECTION I

SECTION I

INTRODUCTION

The purpose of this document is to provide handling qualities investi-

gators with readily usable data on several representative contemporary air-

craft. Included are those data required to obtain transfer functions relating

the aircraft's response to control inputs. An analytical description of the

aircraft's stability augmentor is also given.

For those aircraft for which complete information was available, the

following summarizes the contents and presentation:

7. Flight conditions for which computations are made

including: a. Configtu_ations (e.g., fuel load_ flaps,

gear, etc.)

b. Mach/altitude combinations

2. General arrangement

3- Control system description

4. Stability augmentation description

5- Tabulations and/or plots of non-dimensional stability

derivatives for trimmed flight

6- Dimensional, mass, and flight condition parameters

7- Dimensional stability derivatives

8. Transfer functions for control inputs

9" Selected_andling qualities parameters

10. Data sources

A page number cross index is presented in Table I-1.

The intention has been to make this report completely self-consistent

insofar as symbols, nomenclature, definitions, etc. The system used is

described in three appendices. Appendix A covers axis systems, symbols

and notation, and definitions of nondimensional and dimensional stability

derivatives. Appendix B gives the axis system transformations for the

derivatives. Appendix C includes the aircraft equations of motion and

transfer functions used herein.

X I

g

o

i i

<_ o_ _ _

_ _ _o_ _ aa

o_ _ _o _ _ _''_'"

. _. . _

The aircraft considered in this report span a wide range of sizes, speeds,

and uses. In each case_ transfer functions and handling qualities parameters

were computed for flight conditions which were selected to cover the flight

regimes of interest. A nominal configuration (generally cruise) was picked

for all up and away flight conditions. For this nominal configuration, plots

of trimmed non-dimensional aerodynamic force and moment coefficients are

presented. Also, in most cases, a power approach case is presented along

with a tabulation of aerodynamic coefficients. The coefficients are based

on rigid wind tunnel data 3 estimated flexible data_ or flight test results,

depending upon availability. This is indicated by the words "rigid, "

"flexible," and "flight" on each aero data plot. Also, the axis system is

indicated by "stability" for a body-fixed stability axis system or 'body"

for a body-fixed system aligned with the F.R.L. (Further clarification of

axis systems used is given in Appendix A.) Descriptions of control systems

and stability augmentation systems are given along with transfer functions.

Where a longitudinal control system has a significant effect on the equations

of motion (as with a bobweight) the stick-free transfer functions and handling

qualities are given.

Transfer functions are always given for body axis motion quantities.

Handling qualities parameters are also given in the body axis. All accelera-

tion transfer functions (a z and 4) are for the pilot's position. Thrust

transfer functions do not include any engine response characteristics.

A substantial portion of this report is in the form of computer printout.

The mnemonics used in this printout are defined in Appendix A.

The handling qualities parameters given in this report represent only a

small fraction of those developed over the years. The majority presented here

are used in past and present versions of MIL-F-8785. Although only SAS-off

values are shown, the definitions given in Appendix A are general and could

be used in conjunction with the HAS-on transfer functions to yield SAS-on

handling qualities parameters.

While complete coverage of each aircraft including only the "latest" and

'_oest" data would be desirable, the major criterion used was that the data be

accessible to the author. This is why only isolated flight conditions are

given for some aircraft, and also why, as those people more intimately familiar

with each particular aircraft will recognize, the data presented may repre-

sent an early estimate in the design process and perhaps the "nominal config-

uration" is one which never left the drawing board. The data have been reviewed

and, although not all those presented indicate unquestionable trends, those

data known to be based on only early "guesstimates" or showing unreasonable

trends have been deleted. In somecases data were estimated by the author.

As to how well the data can be expected to match the flying aircraft, it is

assumedthat those for whomthis document is intended knowwell the difficulties

of obtaining derivatives from flight test data. Every attempt has been made

to insure reliable translation, interpretation, and transcription of the data

from their source documents.

The manufacturers of the aircraft described herein can not be held account-

able for the information presented, nor would they be bound to concur in any

conclusions with respect to their aircraft which might be derived from its use.

-33A ACXSXOmm

"The NT-33A variable stability airplane (Serial No. 51-4120)

is an extensively modified T-33 jet trainer. The elevator,

aileron and rudder controls in the front cockpit are disconnected

from their respective control surfaces and have been connected

to separate servomechanisms that make up an 'artificial feel'

system. In addition, the elevator, aileron and rudder control

surfaces have been connected to individual servos which can be

driven by a number of different inputs. These servos receive

their electrical inputs from the artificial feel system (pilot's

commands, position or force), attitude and rate gyros, accelero-

meters, dynamic pressure, _ vane and _ probe. This arrangement,

through a response-feedback system, allows the normal T-33

derivatives to be augmented to the extent that the handling

qualities of many existing airplanes, future airplanes or hypo-

thetical research configurations, can be simulated. The original

T-33 nose section has been replaced with the larger nose of an

F-94 to provide the volume required for the electronic components

of the response-feedback system and the recording equipment."*

Transfer functions are given for only the primary surfaces and engine

thrust although the NT-33A also has other control surfaces and a range of con-

trol crossfeed and feedback combinations.

Aerodynamic data, for the most part, was taken from AFFDL-TR-70-71. However,

longitudinal data for the high lift configuration was obtained from LAL 1 27

andMach number derivatives from NACA-RM-7116.

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NT-33A

PITCH AXIS

Variable

Variable

Feel Stability

Input

Input

I

_]ST(in) ] -I0 _._ ---- _.3 Be(rod)

s z +.89s + 22.5

FST(Ib) _..026

ROLL AXIS

Variable Variable

Feel Stability

Input Input

FLAT (ib) I OST _,n I0 _a(rad)

sT

YAW AXIS

Variable

Variable

Feel Stability

Input

Input

I

I_PED(in) I 2.34 _. = _._ 8r(rad)

FpED(Ib)_

Feel system parameter values shown correspond

to the "Front Seat Engage" mode (normal NT-33)

Figure 11-3. NT-33A Control System

TABLE 11-I

Power_oach Non-Dimensional Stability Derivatives

h = sea level

VTo = 228 ft/sec = 139 kt

oo = 2.2 °

Longitudinal Lateral-Directional

( Stability Axis )

cL = .813

cy0 = -.72/r

cD = .139

Cn_ = .049/rad

CLm = 5.22/rad

C_0 = --.127/rad

CD_ = .94/rad

C_p = -.O7/rad

% = --.401/rad

C_p = -.045/rad

C_r = .20/rad

Cmq : -mo/raa

: Cnr = --.16/rad

CL5e = .34/rad

Cn5 a = --.O09/rad

Cm6e = -.89/rad

C_5 a = .14/rad

CYSr = .17/rad

Cnsr = -.O73/rad

C_5 r = -.OO2/rad

' SL NT-33A

.... 20,000 ft 13700 Ib

w

------ 40,O00ft .263

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Mach

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0 o

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SL

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..... 20,O00ft

Stability Axes

------- 40,O00ft

Rigid

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f.®." /

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0 I t l

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-.4

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NT-S3A

- - SL

137001b

..... 20,O00ft

Stability Axis

--- "-"- 40,000 ft

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.O4

Cnp

_4r _,f

(rod "l)

-.04

-,08

SL NT-33A

• 20,000 ft 13700 Ib

------- 40,O00ft Stability Axis

Rigid

.3-

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(rad "l)

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Mach

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' SL

NT-33A

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..... 20,000 ft

40,O00ft

Stability Axis

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0 I I I I

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Mach

.01

Mach

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Cn8 o

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¢

So is sum of both right and left

-.02

aileron deflections

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Mach

Mach

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Cn8 r

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Stability Axis

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(rad "l )

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3O

NT-33A DATA SOURCES

Hall, G. Warren, and Ronald W. Huber, System Description and

Performance Data for the USAF/CAL Variable Stability T-33

Airplane, Air Force Flight' D_nsmics Laboratory Rept. No.

AFFDL TR-70-71, Aug. 1970

Tests of a I/5 Scale Wind Tunnel Model of the TP-80C Trainer,

Lockheed Aerodynamics Laboratory Rept. No. LAL 127, Jan. 23, 1948

Cleary, Joseph W., and Lyle J. Gray, High Speed Wind-Tunnel Tests

of a Model Pursuit Airplane and Correlation with Flight-Test

Results, NACA-RM-7116, .Jan. 21, 1948

Statler, Irving C., et al, The Development and Evaluation of the

CAL/Air Force Dyuamic Wind Tunnel Testing System_ Part l--

Description and Dynamic Tests Of an F-80 Model, A_'_'DL-TR-66-153,

Feb. 1967

Flight Manual_ USAF Series T-33A Aircraft, T. O. IT-33A-I.

SECTION III

SECTION III

F-IO4A

F- 104A BACKGROD'AID

The F-IO4A is a single place_ lightweight_ supersonic air superiority

fighter powered by a single turbojet engine with afterburner. The wing has

a full span leading edge flap. Trailing edge flaps have a blowing-type

boundary layer control system. Control is provided by conventional ailerons

and rudder and an all-movable stabilizer. Pitch_ roll_ and yaw dampers are

incorporated_ however their effect is not shown here. Pitch and roll con-

trols are fully irreversible while the yaw control is a cable-actuated rudder

without boost. A bobweight is used in the longitudinal feel system. Its

position is assumed to be at the pilot's location.

The primary source of data was LR 10794. Drag information was obtained

from LR-12873.

The nominal configuration used here is the combat loading for the F-]O4A

based on actual weight and balance data. The PA configuration is a typical

loading at flight manual approach speeds.

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Figure 111-3. F-IO4A Control System

Power Approach Non-Dimensional Stability Derivatives

h = sea level

VTo = 287 ft/sec = 170 kt

_o = 2"3°

_s = --7.1°

Longitudinal

Lateral-Directional

(Stability Axis )

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U') v rf % j O. _ _ I O O O

F- 104A DATA SOURCES

Stabi? [ty and Control and Handling Qualities_ F-IO4A, Lockheed Rept.

No. LR 10794, 12 Dec. 1955

Andrews, William H., and Herman A. Rediess, Flight-Determined Sta-

bility and Control Derivatives of a Supersonic Airplane with a

Low Aspect-Ratio Unswept Wing and a Tee-Tail, NASA Memo 2-2-59H,

A!or. '1959

Performance t F-IO4D, Lockheed Rept. No. LR-12873, I May 1958

Flight Manualt F-IO4A and F-IO4B USAF Series Aircraft, T. O. IF-IO4A-I,

15 Dec. 1961

Technica ! Manual t Flight Controls t USAF Series F-IO4A and F-I04C

Aircraft, T. O. 1F-104A-2-8, 15 Mar. 1960

6O

SECTION IV

SECTION IV

F-4C

F-_C BAC_DROUND

The F-4C is an Air Force tactical fighter whose primary mission is

all-weather air-to-air missile combat. Lateral control is achieved by

ailerons in combination with spoilers on a swept wing. A swept stabilator

provides longitudinal stability and control. Directional stability and

control is accomplished through a conventional fin-rudder combination.

Landing speed is reduced by full span leading edge flaps and inboard plain

trailing edge flaps in conjunction with blowing-type boundary layer control

(BLC). Boundary layer control is automatically induced when full flap

deflection occurs.

Features distinguishing the USAF F-4C from its Navy counterpart, the

F-4B, are:

• Lack of drooped ailerons with flaps down resulting in

higher landing speeds.

• Dual flight controls resulting in slightly increased

control system inertia.

• Wing bumps to house larger main gear wheels resulting

in a slight drag increase.

Data included here was obtained primarily from MAC Report No. 9842.

Special emphasis is placed on the longitudinal control system because of

its relative complexity when compared to other aircraft. Figure IV-4 has

been addqd to help illustrate this system. Also, care has been taken to

retain s_m% of the control system nomenclaure used by the manufacturer, e.g., qB and PBF (see Fig. IV-5).

The Stability Augmentation block diagrams are shown in Fig. IV-7. The

roll SAS described is not included in lateral directional SAS on transfer

functions since it is faded out with the lateral control stick out of neutral

position.

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Feel System

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Bobweight

az ts---_- _) of JtB= 39.3 ft

ROLL AXIS

8OsAs (rad)

Feel Spring Gearing /

Sa(rad)

_;T,,_ -I 2"961 =1 _ i -_ Spoiler

-__ 8sp( ra d )

AR! Gain

CLEAN O ,/

PA ARI

C38r {-.46 SAS OFF

= _-.69 SAS ON

__r I___--

<_rAm(rod)

_-:1_

YAW AXIS 8rARl(rad) 3rsAs (rad)

\ / Rudder

Feel Spring Gearing \ / Flexure

.._j_'_ SPED (i n) .___.J__

8r(rad)

_"_°_'_ - I _ I _I _ I- _ - l""txl -

_-- See Fig

K mR G air

V<235KIAS 36.61b/in -11.5deg/in

V>220KIAS 8.51b/in -6.5deg/in

Figure IV-3. F-hC Control System

ID C O C °_ t_ .J_ C

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Figure IV-5. F-4C Feel System }arameters

6?

N

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o © I_ :

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P6 = P (Roll rate gyro assumed aligned with FRL)

Note." Roll GAS faded out with lateral control

out of neutral

YAW SAS

r G (radlsec)

_rsAs (rad)

_I ,s

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ay

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I

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Yaw rate gyro inclined 1.5 ° below FRL and

lateral accelerometer at ES. 198.0and W.L.23.0

Figure IV- 7. F-4C Stability Augmentation

TABLE IV- I

F-_C

Power A_roach Non-Dimensional 8tability Derivatives

h = sea level

VTo = 230 ft/sec = 136 kt

% = 11.7°

_s = -9 .1°

Longitudinal

Lateral-Directional

(Stability Axis )

CL = .915

Cy6 : --.655/rad

CD = .242

Cnl3 : .199/rad

CL_ : 2.8/rad

C26 = -.156/rad

CD_ = .555/rad

C£p = --.272/rad

Cm_ - .098/rad

Cnp = -.013/rad

Cm& - .95/rad

C_r = .20_/rad

Cmq = -2.0/rad

Cnr = -.320/rad

CL5 s = .24/rad CYSa = --.0359/rad]

Spoiler

Effects

C-mss = --.322/tad

Cnsa = --.O041/rad I

Included

CD5 s = --.14/rad

= .o 7/r a j

CYSr = .124/rad

Cnsr = --.072/rad

C_5 r = --.O009/rad

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F-4C DATA SOURCES

Bonine, W. J., et al, Model F/RF-4B-C Aerodynamic Derivatives,

MAC Report 9542, I0 Feb. 1964

Crawford, W. N., and G. Nadler, Static and Dynamic Control System

Characteristics for the F-4 Aircraft, MAC Rept. F21_, 16 Dec. 1966

Bridges, B. C., Calculated Longitudinal Stability and Performance

Characteristics of the F-hB/C/D/J' and RF-hB/C Aircraft plus the

AN/ASA-32H Automatic Flight Control System, MAC Rept F934,

19 Apr. 1963

Bridges, B. C., Calculated Lateral-Directional Stability and Perfor-

mance Characteristics of the F-4B/C/D/J and RF-4B/C Aircraft plus

the AN/ASA-32H Automatic Flight Control System, MAC Rept. F935,

3 May 1968

NATOPS Flight Manual_ Navy Model F-4B Aircraft, NAVAIR 01-245 FDB-I,

I Nov. 1966

SECTION V

SECTION V

X-15

X- 15 BACKGROUND

The X-]_ is a single-place, rocket-powered airplane designed for flight

at hypersonic speeds and extreme altitudes. The airplane is carried aloft

under the right wing of a B-52 and is launched at an altitude of about

45_000 ft and a Mach number of about 0.80. After launch_ the X-J5 performs

a powered flight mission_ followed by a deceleration glide prior to vectoring

for a landing. With this operational technique, the airplane is capable of

attaining a Mach number of 6 and can be flown to and recovered from an altitude

in excess of 300_000 feet.

Flights to high altitudes have been made with all three of the X-J5

airplanes in two configurations: the basic and the ventral off. The basic

configuration is considered here.

Aerodynamic control is provided through conventional aerodynamic surfaces_

with vertical surfaces used for yaw control and the horizontal tail for both

pitch and roll control. All of the aerodynamic control surfaces are actuated

by irreversible hydraulic systems. Control force is provided by bungee for

pilot feel. A conventional center stick is used for pitch and roll control_

and rudder pedals are used for yaw control; however_ a side-located stick is

provided for control of pitch and roll in high-acceleration environments at

the option of the pilot. Most of the X-15 missions have been made with the

side stick_ although the pilots used the center stick on their first flights.

Only the center stick control is shown here.

The augmentation system shown in this report consists of angular rate

feedback loops about all three axes. In addition to the normal p -_$a roll

SAS loop_ there is an r -_5 a feedback known as the YAR loop. The gains for

each SAS loop are manually set by the pilot. The SAS-on transfer functions

given for this airplane assume maximum gain settings for each loop. This may

not have been realistic for actual flights.

The flight conditions considered for this airplane are all for straight

and level trimmed flight. This is definitely unrealistic for this airplane_

however_ the intent here is to show general speed and altitude variation

effects.

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Figure V-3. X-15 Control System

X-15

PITCH SAS

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Roll Gain

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(e.g. roll gains selectable are .05,.I0,.15,

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Figure V-4. X-15 Stability Augmentation

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X-I 5 DATA SOURCES

Revised Basic Aerodynamic Characteristics of X-15 Research Airplane, North

American Aviation, Inc. Report No. NA-59-12033 August 19_9.

Osborne, Robert S., Stability and Control Characteristics of a O.0667-Scale

Model of the Final Version of the North American X-15 Research Airplane

(Configuration 3) at Transonic Speeds, NASA TMX-758, April 1963.

Franklin, Arthur E. and Robert M. Lust, Investigation of the Aerodynamic

Characteristics of a O.067-Scale Model of the X-15 Airplane _ConfigurA-

tion 3) at Mach Numbers of 2.29_ 2.98_ and 4.65, NASA TM X-38, November 1959.

Penland, Jim A. and David E. Fetterman, Jr., Static Longitudinal t Directional,

and Lateral Stability and Control Data at a Mach Number of 6.83 of the

Final Configuration of the X-15 Research Airplane, NASA TMX-236, April 1960.

Tunnell, Phillips J. and Eldon A. Latham, The Static and D_mamic-Rotar_

Stabilit_ Derivatives of a Model of the X-15 Research Airplane at Macb

Numbers from 1.55 to 3-50, NASA Memo 12-23-58A, January 19_9.

Hopkins_ Edward J., David E. Fetterman, Jr. and Edwin J. Saltzman, Comparison

of Full-Scale Lift and Drag Characteristics of the X-I} Airplane With

Wind-Tunnel Results and Theory, NASA TM X-71 33 March 1962.

Walker, Harold J. and Chester H. Wolowicz, Theoretical Stability Derivatives

for the X-15 Research Airplane at Supersonic and H_personic Speeds

Includin_ a Comparison With Wind-Tunnel Results, NASA TMX-287, August 1960.

Yancey, Roxanah B., Flight Measurements of Stability and Control Derivatives

of the X-I_ Research Airplane to a Mach Number of 6.02 and an Angle of

Attack of 25 °, NASA TN D-2532, November 1964.

Saltzman, Edwin J. and Darwin J. Garringer, Summary of Full-Scale Lift and

Drag Characteristics of the X-15 Airplane, NASA TN D-3343, March 1966.

Taylor, Lawrence W._ Jr. and George B. Merrick, X-_5 Air_lane Stability

Augmentation System, NASA TN D-1157, March 1962.

Tremant, Robert A., Operational Experiences and Characteristics of the X-15

Flight Control System, NASA TN D-1402, December 1962.

SECTION VI

SECTION VI

HL-IO

EL- I 0 BACKGROUND

The HL-IO is one of a number of lifting body research vehicles. The

airplane is typically launched from a B-52 at 0.8Mach and 4_,000 feet.

In numerous glide and powered flights the HL-IO has been flown in excess

of 1.8 Mach and 90,000 feet.

Following problems involving the loss of roll-control effectiveness,

the leading edge of the tip fins was modified. This became known as the

Mod II configuration. The information contained here is for the Mod II

HL-IO.

Pitch and roll control is obtained by elevons and yaw control by a

conventional rudder. A subsonic or a transonic configuration is selected

using combinations of speed brakes_ elevon flaps, and tip fin flaps. These

combinations are specified in Fig. VI-I.

The stability augmentation system consists of angular rate feedback loops

about all three axes.

The flight conditions shown correspond to actual flight test points.

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HL- I0 DATA SOVRCES

I • Ladson, Charles L., and Acquilla S. Hill, Aerodynamics of a Model

of the HL-10 Flight Test Vehicle at Mach 0.35 to 1.80, NASA

TN D-6018, Feb. 1971

,

Pyle, Jon S., Lift and Drag Characteristics of the ML-IO Lifting

Body during Subsonic Gliding Flight, NASA TN D-6263, Mar. 1971

Ware, George M., Full Scale Wind Tunnel Investigation of the Aero-

dynamic Characteristics of the HL-IO Manned Lifting Entry

Vehicle, NASA TMX-1160, Oct. 1965-

JETSTAR BACKGROUND

The Jetstar is a four engine utility transport. Controls consist of

conventional ailerons_ elevators_ and rudder. Ailerons and elevators are

mechanically actuated with hydraulic boost. The rudder is mechanically

activated but assisted by a servo tab.

The primary source of aerodynamic data was NASA CR-544. Power approach

aerodynamics were estimated using CR-544 and flight test data from

_TC-TDR-62-24C-140. The control system description was based solely on

flight test data from the latter reference.

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II II II

JETSTAR

PITCH AXIS

8e (rad)

FST(Ib)

-_ 52 + 2.95CI

I' I

Note: Angle of attack effects on elevator

h/nge moment are neglected

ROLL AXIS

LAT

= 8a(rad)

F ST (Ib)

.75_q

I

YAW AXIS

-_ 8r (rad)

FpEo(Ib)

Figure VII-3. Jetstar Control System

TABLE VII- ]

JETSTAR

Power Approach Non-Dimenslonal Stability Derivatives

h = sea level

VTo = 224 ft/sec = 132._ kt

% = 6._ o

Longitudinal

Lateral-Directional

(Bod Ax±s)

CL = .737

CD = .O9_

Cn_ = .137/rad

= .O/rad

C_ = --.IO3/rad

CD a = .7D/tad

C_p = -.37/rad

Cm_ = -.80/rad

Cnp = -.14/rad

Cm_ = --3.0/rad

C_ r = .]I/rad

Cmq = _8.0/rad

Cn r = --.T6/rad

CLSe = .4/rad

Cn_a = --.O07_/rad

CruSe = --.81/rad

C_Sa = .054/rad

CySr = .17_/rad

Cn5r = --.O63/rad

C_Sr = .O29/rad

SL JETSTAR

20,000 ft 38204 Ib

40,O00ft

12-

I0--

_0

(deg)

8-

6-

4-

2-

I I I

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.2

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(rad-i) 4

JETSTAR

38204 Ib

1 I I I

0 .2 .4 .6 .8

Mach

1.2

.8

.4

%%%,

I t I I

0 .2 .4 .6 .8

Moch

Mach

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0 o

I I I I

-.4-

Cma

(rad "i )

JETSTAR

SL

38204 Ib

..... 20,O00ft

.255

---- ----- 40,O00ft

Mach

0 .2 .4 .6 .8

I ! I I

-.4

Cm&,

Cmq

(rad-I )

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(rod "l )

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0 .2 .4 .6 .8

Mach

Moch

0 o

.2 .4 . .8

_o I B

-'.2-

t

CM M -.3 -

(rod "l ) -.4 -

I

"o 5

-6 -

SL JETSTAR

38204 Ib

.... 20,O00ft

.25_

- 40,O00ft

CL8 e

4 - m

.2

CL8 e ,

Cm8 e

(rod'=) 0

) I I I

.2 .4 .6 .8

Moch

.2

JETSTAR

-.4

n

-.6

-.8

-I.0

Mach

0 .2 A .6 .8

0 I I J I

-.4

Cy_

(rad -t)

2 5 3 8 4 6 9 " _,,_

-,8

SL JETSTAR

382041b

- - 20 O00ft

Body Axis

----- 40,O00ft

.2

_-" -"_(_- -_ Cn B

.I

Cn_,

Mach

Cj_

• 2 .4 .6 .8

(rod't) 0

I I I I

c_

:2

Mach

00 .2 .4 .6 .8

I I I I

-.2

C,_p

(rad "I)

-.4

JETSTAR

SL

-.6

38204. Ib

..... 20,O00ft

Body Axis

--- ---- 40,O00ft

Mach

0 .2 .4 .6 .8

0 I i I I

-.04 -

Cnp

(rod "i)

-.08 --

-.12 -

S L JETSTAR

• 20,O00ft 38204 Ib

---'---- 40,O00ft Body Axis

.2

C_r

C,t r ,

Cnr

(rod "i )

I I ! I

.2 .4 .6 .8

Moch

-.I

Cn r

-2

SL JETSTAR

20,O00ft 58204 Ib

ill

40,000 ft Body Axis

.08

CYa a

(rod -I )

.04

I I I I

O0 .Z .4 .6 .8

Mach

Mach

0 o

,2 4, ; 8,

Cns a -.01 --

(rod -l )

-.02 -

8a is deflection of aileron

on one slide only

Cy8 r

2 5 3 846 ""_,o ._

(rod -I )

I I I 1

O0 .2 .4 .6 .8

Moch

Mach

.2 .4 .6 .8

0 o

I I I I

-.04 -

Cn8 r

(rad "i )

-.08 -

' SL JETSTAR

382041b

..... 20,O00ft

40,O00ft Body Axis

.04

C_8 r

(rod "l )

.02

0 I I I I

0 .2 .4 .6 .8

Mach

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o _ ,_ _ r_- _ 0 a0 oD e_l o oo O0 _ • o • , • I I ! * I w_ I ÷ _0_ _o_

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¢ , •

_ " _

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I I I I!

w + o f_ ,-, O_ oO .:I-

o_

• o • , I' e_l , , I I I I I vv _v ,..-i A _K e'3 _.

O- 7y " _L

o _

q- _j ,...4 ,-.4 (_ ,...4 !

I_ 0 G'I i_- _ ,-I _ 0 • I_ 0" o 0 _ 0_ _ o _7' _ _ N 0 ,-_ r_ r_ i-4 E-I 0 0 _" .rq _-u h- I 0" 0 0" (_J ,_ ,'_ 0

E-I ©

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M

G" r_

A

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u2 o_ "_ a. ,JJ 1- _ :I[

J_S_4J_ DATA SO_CES

Myers, Russell H., Jr., and Carl S. Cross, Jetstar Flight Evaluation,

Air Force Flight Test Center Rept No. FTC-TDR-62-24C-140, Feb. 1963

Clark, Daniel C., and John Kroll, General Purpose Airborne Simulator--

Conceptual Design Report, NASA CR-544, Aug. 1966

Flight Manual_ USAF Series C-140A_ C-140B_ and VC-140B Aircraft,

T. O. 1C-140A-1

Jetstar Handbook of Operating and Maintenance Instructions for USAF

Models C-140A and VC-140B Aircraft, T. O. IC-140A-2

SECTION VIII

SECTION VIII

CONVAIR _OM

CONVAIR 880M BACKGROUND

The Convair 880M is a medium-size four engine jet transport. Longi-

tudinal and directional control consists of servo tab deflected elevators

and rudder. Lateral control consists of servo tab deflected ailerons plus

hydraulic actuated spoilers.

Elevator, aileron, and rudder transfer functions are in terms of

respective primary surface deflections with tab 16sses included. Although

the control system diagram shows a lag in the spoiler actuator, none was

used in computing transfer functions.

0 0 0 •_ .r-I +_ 0 0 0 ,-I O ID -O o3 O .,-t +_ -,-I .r-t ,--I _d

I I

_D

0 0 0

I

0 0

, ©

0 _ 0

.H

0 "- O"

I

i- cO cO °H O rD H H (1) O .,-t -O .r-t O -r-t C_ _ 0d 03 O,1 O

I -o 4-, -o

• ,-I _-, 4.0 4o 4o / q-t _ q-I I I O O O O

, , _

rD _ _ O M

_io_o o o

0 0 0 0 (D LZh 0 0 O O O 0 Oh 0 0 0

ff_ (2) (2) O ®° _ _o

O O m i1) _ 4._ r-_ m O II ii II II II H ii Ii

d_

d_

N _ N _ _ 1---I H H "7, O i < O a0 co O o rj i H H H > -H !

o o _-.¢

0 odm

I_1 II tl _0 -Q Io

CV-880M

PITCH AXIS

)

_-- 8te (rad)

-Ch8te

Be(rod)

Oh8 e

ROLL AXIS

8Sp (rod)

I +.Is

t -I.425

8to(rad)

8tac

_--- Ba(rad)

YAW AXIS

,.._+ t<

b

(Sir -Sr)c _ St, (rad)

L

8r(rad)

i':':kg',kre '/! i_ -3. CV-880M Control System

TABLE VIII-I

CV-880M

Longitudinal Non-Dimensional Stability Derivatives

Flight Condition I 2 3 4 5 6 7

Configuration L PA

Speed 134 KTAS 165 KTAS .6M .86M .7M .SM .86M

Altitude SL SL 23K 23K 35K 35K 35K

_o (Deg) 5.2 4.3 5.3 2.8 8.3 4.7 4.0

C L I .03 0.68 0.36 0 .I75 0.454 0.347 0.301

CD 0.154 0.080 0.022 0.019 0.025 0.024 0.023

CL_ (I/rad) 4.66 4.52 4.28 4.41 4.62 4.8 4.9

CD_ (I/rad) 0.43 0.27 0.14 0.07 0.18 0.15 0.13

Cm_ (I/rad) -0.381 -0.903 -0.522 -0.572 -0.568 -0.65 -0.74

2.7 2.7 2.44 2.5 2.75 2.75 2.9

Ci_ (I/rad)

7.62

7.92 7.72 6.76 6.37 7.51 7.5

CLq (I/rad)

-4.6

-4.5

-4 .I7 -4 .I3 -4 .I6 -4.66 -4.4

Cmc_ (I/rad)

-I 2. -I 2.

-I 2.2 -I 2 .I -I I .5 -I I .8 -I 2.

Cmq (I/rad)

CL5 e (I/rad) 0.22 0.213 0.193 0.141 0.203 0.190 0.180

Cm5 e (I/rad) -0.657 -0.637 -0.586 -0.438 -0.618 --0.57 -0.532

Ch5 e ( I/rad) -0.326 -0.328 -0.336 -0.278 -0.342 -0.31 -0.285

CLSte ( I/rad) 0.055 0.0532 0.0482 0.0352 0.0508 O. 047 0.0450

(I/rad) --0.164 -0.159 -0.146 -0.11 -0.155 -0.14 -0.134

CmSte ( I/rad) -0.287 -0.285 -0.297 -0.343 -0.31 2 -0. 335 -0.352

chste

TABLE Vlll-2

OV-880M

Lateral-Directlonal Non-Dimensional Derivatives

(Stability Axis System)

I 2 3 4 5

Flight Condition

L PA

Configuration

.SM •S<,Iv

13 _ KTAS 1 65 KTAS .6M .86M .7M

Speed

35K 3!_X

Altitude SL SL 23K 23K 35K

-0 .UI25

-I .01 5 -0.877 -0.788 -O .81 5 -0.807

-0. _77

-0.239 -O.196 -0.163 -0.145 -0.181

C_B (I/rad)

o .133

0.129

0.145 0.139 0.128 0.122 O.129

c% (1/_d)

-o.31 2 -0.294

-0.395 -0.381 -0.329 -0.243 -0.341

C% (1/_d)

-0.011 -0.oo_

-0.087 -0.049 -0.0173 -0.0031 -0.023

Cnp (1/_ad)

o.146

0.153

0.309 O. 198 0 .I46 0.088 0 .I8O

C_r (l/tad)

-0 .I 65 -0.165

-0.21 8 -0 .I85 -0 .I63 -0 .I89 -0 .I66

Cnr (I/tad)

0 0 0 .O01 9 0 .O745 0 .O044 o .00775 0.00979

Cysa (I/rad)

-0.0479

-0.0487 -0.0384 -0.0466 -0.0452 -0.0479 -0 .o_97

C_5 a (I/rad)

o .oo8o3 O .O0975

0.01862 0.0172 0.00746 0.01061 0.007

Cn5 a (I/tad)

-0.2005 -0.258

-0.607 -0.481 -0.236 -0.258 -0.2233

Ch5 a (I/rad)

0 0

O 0 0 0 0

-0.0075 -0.0071

-0.0072 -0.0056 -0.0068 -0.0068 -0.0071

C_a (I/rad) (llraa)

0 0

0 0 0 0 0

Cn6ta (I/rad)

-0.235 -0.213

-0.249 -0.227 -o .21 5 -0.21 25 -0.226

Ch6ta (I/rad)

-0.01 89 -0.01 75

-0 _078 -0.031 5 -0.0189 -0.0175 -O.0189

Cyss (1/rad)

0 .o339

0 .o805 0.0405 0.029 0.0281 0.0324 o .0329

C_ s (l/tad)

o .01004

0 .o258 0.01 29 0.011 46 0 .oi 09 0.00975 o .oo917

Cn5 s I/rad)

o .I84

o.I 685

0.223 0.21 55 0 .I904 0 .I394 0 .I99

Cy_z ' I/rad)

0.01 87 0.01 93

0 .O207 0.0226 0.01 76 O .0183 0 .O1 65

C_6 r I/rad)

-0.0644

-0.0756

-0.O9_)5 -0.0958 -0.0845 -0.0534 -0.0848

Cn6 r I/tad)

-0.1491 -0.1924

-O.2140 -O.2125 -O.1626 -0.1844 -0.1345

Ch_ r 7/raa)

0.0316

0.0355

0.0493 0.0467 0.0374 0.021 5 0.0404

CY6t r (llrad)

0.0020

O. O01 9

0.0021 0.0027 0.001 6 0.001 8 0.001 4

C£Str (I/tad)

-0.01 1

-o.o13_

--C, .020 -O .019 -0.01 5 -0.0077 -0.01 6

CnBtr (1/rad)

-0 ._C,5

-o.267

--0.25P, -< .N_;5 -0.267 -0.254 -0.27

C" (1/rad;

nst r

O_ P'- h= I'- ÷ ,,,F* d- O • 0 0 W _ ILl U'_ 0 0 0

c_ 0_ _ o o o

I ÷ ÷ ÷ _r_ o 0 o

o • j _ o o -, _ ,- ._i 3 o

• ,'-'4 0 0 0 _ 0 _ 0 _ ,'-4 ___ 0 r_q

g • _ •

o

I

o

o

! ÷

H

H

pq

4- ÷ ÷ tO, 0 0 0

= • o o o

• _ ,-4 ,-d N • _ _ I_ i_" 0 _ ",I" ,-I • • I

o

H +

I

_J

..-i oJ I_- _I WD v r_l 0 _ _1 ',,t 0' _._ 0 I I

o _ _ _ .o _ .t _ -_ _ o c_. -1- _ _ _ w

r-- ¢v_ cO 0 0 0 0 ,D 0 0 • 0 _ * t_ • 0 0 C _ 0 * 0 0 {_ 0 .-_ 0 .-4 P-- • 0 I" • ." l '7' 7 • • I' I' I" I" _' 0 4 _ _ {_ _ ,--I I'_ 0 I / w

o o_ _ _ _ _ ._ o, _o _ _ _ ._ _- _

I_ 0 t _" 0 O_ c,,I C_ t_/ 0 tP, -- ,-i 0 I_- _f_ c¢_ t'- 0 0 0 0 _r_ 0 0 -- 0 -,t • 0 . 0 0 0 _ • O O O • • O O r _ o _ _ .-.4 o ,..-4

El

• ' • I * " I I " " " I I I I I e,,,i o _-- ,,1- ,o ,,,,, ,,,7- _ uo o _ _ _ co (,_ I I

I:I

N CO O O O O O _ O O _ _' CO • O • O O 0 _ • O • O • • O O .-_ O ,._ O_ 04 O _ t _- • I " I " " I I " " ' I I I I

H U_ E_

H

H Cc_

H

¢_ 04 ,O O O O O _0 O O (._ O _ • _ • O O O _ • 0 " 0 • e 0 0 t._ _ _ .-e 0 '--_ r"-

H

• I " I • ° I I " ° * I I I I u_ _ u_ ..I .O tlJ _r_ 0._ ,0 tZ_ O _I" _ u'_ o_ p.,. _ O U'_ _ o,.t UJ

CO

-_ _ _ o _ c_ _ _ o o o o _ _ .; -_ o _, • .. CO • " O " O " ' O _--i

CO

I I • • I I I . I I" I I I' I" 11 _ . I- "r "r I,I.

0 _n,4 ,.n

"2

_,._ 0 ,,,.-I ¢10 O_ • o e0 o.

I.t'_ _", laO h- _00 oOLt_

_o °

• • e,,,,,4 •.--4 It- I_- • 000 oeq .40 .

I e, I I ÷ _o _0_ 0 _ ,.,,t 0". ,,,t _0 _ O0

.: o,,, 00_

i I I @ i.n

_o

_0_ I'-.- .-4 f.,..- _0_ _0_ _0 ,.=._ ¢0 h- O0_J 0_00 .0,,I" O0 _00_.

,.,_ ¢,..) u -. e._ I ! • !

!

I".. u_ _) u,_ r.- r,,/ OON e_ O_ ¢0 0_0 O0 eee N ! • • I !

I f,.- t_l ,o

H ._ ,,o

_0_" _00 _000_ I I I I

_o_

_" _o.i

C) ,'-_ ,0 r._ o,i • _0 _ • o • N • " t_ ! I I I ÷ oo_ 0_ _0

GO

I ,-4 _N • 0 • e_ee I ! !

Z _ _ Z .b- • ,I ,o v I ,o I t-- I Lul_- wo _o c_P- uJ .-_ (_, _ _-I ¢_ c. _ P- _o0 oo_o o ,.._ _ _o_ OOen 00_ o_ • ...-4 • I I I ° I" I ,t- -.1- OC0 I.U ,5' O" I_ ,.0 c'x_,,_ u"_ u".

o r_ rv_ t_ -.1Lr_ O_ L -_ P'- o .-_ O0_r_ OOe _'

ogo._

• I I !

÷ p- -.t I o Uj _r', wD .O co cf_ _r% erl D.- OOO_ OOU_ 00_ OOCxl 0.I" • -_ u u ,,T

!

I!

4- ,4" wE} -,1" P-- <._ ,o uj ao -_" u_ (M _ ,.._ co co P- aO _ 0", ,..._ 0_ O [0 L) .--_ 0 (M _u' 0 00,I" 00_ (%1 ._-_ Oe'N • I I I I I ,o I LU r-- O_ _rM _o_ LU r..} _o

-'o N_; U_N

cO CP. ,4- L._ _0_ Cxl ,ID 0_ 00_ oO e,a 0_ ¢0 * , o • ,.--i .I !

II I

T

!

CO U.J O, _ CO

_oo UJCO0

(xl P.- OOU_ CO • • • I I I w_ I!

!

+

co

,0 4"

co

I l,iJ u-, co _0_ 0_ _o_

8E _

co • • ol0e

_,'"

I I !

_N _N E EJ Z ,-4 ° 0 I ÷ CO _'_ 0 _ ,_ WD u_ 0 ,-.4 0 _ 0 QO I c0 I" 4.

,.-i _r_ _ 0 _ 0 _0 I ,-.4 uJ O] !

v v l.J _J ,,,1" _._ D'- _ wD l_J -- wD oO i_i a) !

H v

ca

U ur_ i_ _ 0 U_ 0 _ h- • a I ,0 O" N ..J ,,I" _" • ,4) I 0 I f_ o_ 0 _ oO ,,I" _n • -q -J 0 ,,I" ,0 • _ I _, CO 0 • _0 l OD I

- G

p.. -_ w _J I,.9 I/_ u.; _'_ C_ ,_ _x; 0 14.. L5 _ IK CI-- _- _ N r _ r'- _ CO _ 0 • CO _t _ 0 _ 0 IX) " I" O_ P_ ,-I • • • 0 _t • • • I I I• I I I" I" O_ 0 $ _0 • i. _ _0 "_ I" I" • |, 0 • N • • . I" I I I 0 -.11" <r co N o_ _ _ o o 0 N ,DO _ f_-

• u_ _n _ . . • o N • • • -

I I I I° ! I ' / I

I

e_l (X) _ _ 0 • * 0 _" I_, O _'_ 0 * * I

N <) _ o • _ _ o _" ._ o _ o _0 0_

I I I i I ' I I _'_ _0 _ _0 _ e_l _ _0 N _ N 0 _ I _- 0 I I I I I I I

IX)

IX)

I N O

SS_

0_0 * 0 i_- O_ um *,--4 • ,.'tO • ...-_ '4" • • I i ° I I" 0 0 er_ • 4" ¢ u", rr_ (_ 0_ ti_ c_ 0"0_ • ,00_ • O_0 • 0 • *_ 0 . .c_ I I I" i°

°

t,t_ ,4,- r,,_

rq .4_ 0 ,"_ o.o_=,o

• I I !

o_to, _o _.

• c) .-_ .

• !

I I" ....

_ut NO ...'-4 • I I I I I" C0_NO -'_o 0 I'll • • NO ..=_ I I I !

I 4.

N _ ,,o o', g'_ ! I' I _E _w v ZZ Z Z o _ ,-4

_o_

lJm_ _0_ P-- i_0o _o_ o_o oo co0 ° _ ° °,,, o ° ,._ I" I I I" ..s

o~_

o 0_

r_ _ Z _."_.

_0 _o . o ej l_J °,+, _°° I I II • I I

t_m r,j i._ f,el _o

I_0 co 0 _ , l_j mm • I I + II I I

+

H r.- °_ • o • I I I II I I H _ q_ F7_ H tl _,_ I-+ t:" ._ F_ c" , I'_ u'_ 0o um _0 <N P_ p_ oo ,_ O) • • o I_ eu I • l I I I

_o_

..A'_ 0_0 .-_,0 _ ,,ID rex ,-_ • ,,-I .4 + ,-i eq ,0_ I I I I II I o e_

_ "o

_o_

e_R_o

_0 o • ,-'4 o _ .-4 I,_,0 I ZOOWW v Z Z 0 0 _ _ _ _ _ _ _ _ _ 0 _g_lg.._O_O_._ v I_ + I_ 0 + _ , I_ I'- p I_I f J + 0 _ _ _- f_ CO . aO | . . -- 0 O 4_ ,--4 _ • I_ I o u_ _ p_ <%j _ p_ ch _p o p_ _p _ r- ,+ _ l + q • ir Q U' w _ • +rt I I P '4" _ _1 f_ I CO _0 00 0 P" P',I +1 N ¢O • • I + -- • • O • 0 _ , v oI_ 0 fJ" r,_ _ .,1+ _ .-w _

P

r_l _ • " I " I I I I U 0 .+ • I"I (P, ..1" wD O, co ,,41" _ P,,,. _ _, .P' C) ,..,I ..,i" w_ N ! _ ,-_ _ wO 0 c'% P"- ",+" 0_ 0 !

f_ 0 _ _J P- N ,4" f_l urs 0_ e _ h- • -+ _1 o N o l u x _ ,-4 NO' ,--4 ,_ ¢_1 10, I_ l U • • I • • • _ ,-.4 _ _ 0 • -1" I iii <_ UJ r LU _ r, w _ _ )¢+ LIJ U.J g+.l n. -. .J 0 _ _ I _ ID rJ LU _ '_ _ IJ +-+ 03, I-- I- I- I_ _ nf <_ _ I +.J ..4 1',,4 C) es _1 ¢'_ ,,.,4 _ O. 1_ I_. I_ _. "_: I_ I_ _,. ,'_

CV-880M DATA SOURCES

McNeill, Walter E., Calculated and Flight Measured Handling-Qualities

Factors of Three Subsonic Jet Transports , NASA TN D-4832, Nov. 1968.

Brooks, Peter W., The World's Airliners, London, Putnam, 1962.

_ECTION IX

BOEING 747

BOEI__G 747 BACKGROUND

The Boeing 747 is a very large four-fanjet intercontinental transport

designed to operate from existing international airports. To obtain the

necessary low speed characteristics the wing has triple-slotted trailing

flaps and Krueger type leading edge flaps. The Krueger flaps outboard of

the inboard nacelle are variable cambered and slotted while the inboard

Krueger flaps are standard unslotted. Longitudinal control is obtained

through four elevator segments and a movable stabilizer. The lateral con-

trol employs five spoiler panels_ an inboard aileron between the inboard

and outboard flaps_ and an outboard aileron which operates with flaps down

only on each wing. The five spoiler panels on each wing also operate

symmetrically as speedbrakes in conjunction with the most inboard sixth

spoiler panel. Directional control is obtained from two rudder segments.

Information for this aircraft was obtained solely from a 747 simulator

description (Boeing D6-30643).

2;

(1)

o

o X

.i.Ii (1)

co 4a

ii1

o

o

gh

®

o

h

i1)

o

,d

_ _ o

I

c_

I I

0 o

o _ cu

0 0

_J

O • • 4D

0 0 or) i +

.r-I

_J

o o

cf "_ o O

ea

4_

b8

.H

_H

P_

b-

b-

I

i

.H

#

b9

_J

.H

o

O

O

-i-4

O

GJ

OJ Od Od -ID

-ID +_ 4D r._

,1-1

r_ _H CH

I , I bD

o

o

.,-I

rq r-I

kO

4D

r_

O

kD _0 kO 0

.-a

O

_1 0 0 0 ,--

o

.H

I-i

I"4

o Io X

O

0 X X X

0 ly_ Lr_

_, Ckl L"- L¢_ _ OJ

lag

• CO

u_ ,-- h_ _ 0

4D

cO

II II II fl II

CO a_ _,D ._j "_I-- ° pr_ a_ f_ ,-I a_ lqr)_ !

.J

G

_ o_

|| II I| b

B-747

PITCH AXI_.

_eSAS

I

-2

Fcc (Ib)

K

57.3 P" 8e(rad)

_cc(deg)[

4° k

s / J"

e,"

x

,° t

[fj

I I I

o

,-t

0 .2 .4 .6 .8 1.0 0

Mach

4_

ROLL AXIS

_t P I I r; I

F w fib)

.161 57.3

Sw(deg) I .5 H

(1) b._

YAW AXIS

8rsAs(rad)

___ 7.15

FpED(Ib)

43.5 57.3

I }SPeD(in) I

B-747

YAW SAS

I 5.05_

r G (rad/sec)

I(s,.368)(s 3.68)

Flaps Down

-.688s

s+.368)(s+3.68)

_iNs(rad)

-34.5s

(s+lO) 2

r =r

*INS: IP dt

(Gyro and INS Aligned with FRL)

Figure IX-4. B-747 SAS

TABLEIX-I

Landing Configuration Non-Dimensional Derivatives

h : sea level

VT o = 131 KTAS

mo = 8.5 °

5s = -6.3 °

Longitudinal Lateral-Directional

C L = I .76

Cy6 = --1.081rad

CD = .263

C_6 = --.281/rad

CL_ = 5.67/rad

Cn_ = .184/rad

CD_ = 1.13/rad

C_p = --.502/rad

Cm_ = --I.45/rad

Cnp = --.222/rad

CL& = -6.7/rad

C_ r = .195/rad

Cm& = --3.3/rad

Cnr = --.36/rad

CLq = 5.65/rad

C_Sa = .0530/rad

Cmq = --21.4/rad CnSa = .O083/rad

eLM = --I.I

CYSr = .179/rad

Cm M = .36 C_5 r = 0

CI6e = .396/rad

CnSr = --.ll2/rad

Cm5 e = --I .40/rad

5a = total deflection of right inboard aileron plus left

inboard aileron with the effect of outboard ailerons

included

TABLE IX- 2

Power Approach Configuration

Non-Dimensional Derivative s

h = sea level

VTo = 165 KTAS

co = 5.7 °

O

5 s = --2.1

Lateral-Directional

Longitudinal

CL = 1.11

CyB = --.96/rad

CD = .102

C_ = --.221/rad

CI_ = 5.70/rad

Cn_ = .150/rad

CD_ = .66/rad C_p = --.45/rad

Cm_ = --1.26/rad

Cnp = -.121/rad

C_r = .101/rad

CL& = --6.7/rad

Cm_ : -3.2/rad Cnr - .30/rad

C_5 a = .0461/rad

CLq = 5.4/rad

Cmq = --20.8/rad Cn5 a = .O064/rad

c_ = -.81

Cysr = .175/rad

CmM = .27 C_5 r = .O07/rad

CLte = .338/rad Cn5 r - .109/rad

crime = -1.34/rad

5a = total deflection of right inboard aileron plus left

_nboard aileron with the effect of outboard ailerons

included

i

SL B-747

_m _m

20,000 ft 636600 Ib

mmm em mmme

40,000 ft .25 _"

Flexible

k

i

k

k

m

I0

k

GO

m

(deg)

4-

2-

I

o I

4I .6 " .8

1.0

0 .2

Mach

,_i_, ° " _- ._

I

I

0 I

1.0

I" .4..""_ .6 .8

.2

(deg)

Mach

-2

-4

_o.

u

o

I I I I

m o. o.

_0

b- _D

i P0

m_p

O0

O0

qQ o.

_00

u) od ,_'-

li

_5

I I I I

o. o _ c_

Od

_1

o

SL B-747

20,000 ff 636600 Ib

40,O00ft Flexible

CL a

(rad-')

4-

l

2-

I

I I I I

0 o

.2

.4 .6 .8 1.0

Mach

I

CD a

(rad-')

l

l

.8 m

, \

.4-

I I

0 o

.2

.4 .6 .8 1.0

Mach

Mach

.8 1.0

0 2_ .4 .6

7------V---

0 ,--------T-------T-------_

B - 74T

636600 Ib

-.4 .25E

Flexiable

:8

Cm a

(rod -j )

-I.2

-I.6

Mach

.Z .4 .6 .8 1.0 _

I r I I I

-8

Cm&, Cn_q

SL

(rod "t )

.... 20,O00ft

-12

.-.. -..- 40,O00ft

Crnq

--------®. ]

J

I m

CL M

I

.2

Mach

.4 .6 .8 (_ 1.0

!

SL B-747

20,000 ft 636600 Ib

40,O00ft .25

Flexible

.3-

I

CD M

/

#

.I m

//

j ®_/ ,

l 1

0 o

.2 .4

.6 .8 1.0

.4

.2

Cm M

I "(_._ t II I

-,2

-4

B-747

" SL

20,000 ft

--------- 40,O00ft

.4

.3

CL8 e

(rod -= )

I I I I I

O0 .2 .4 .6 .8 1.0

Mach

.4 .6 .8 1.0

.2

0 0

I I I I

-.4-

/

I

-.8 -- I

/

I

Cm8 e

/

(red-I )

y '

-I.2 -

." 7/

-I.6 -

Mach

00 .2 .4 .6 .8 1.0

I I I I I

-.4

Cy,o

(rad "I)

-.8

B-747

SL

-I,2

20,000 ft 636600 Ib

40,O00ft Flexible

Stability Axis

.2-

Cn_

( rad-I )

I

I I I I

O0 .2

.4 .6 .8 1.0

Mach

0 .2 .4 .6 .8 1.0

1 I I

(rad "=)

/

\j

-3-

SL B-747

636600 Ib

20,O00ft

40,O00ft

Stobility Axis

Flexible

Mach

.2 .4 .6 .8 1.0

I I I I I

-.2

Cyp

(rad "l)

-.4

.O4

I

I

Cnp

.2

1.0

(rad "i)

-.04

-.08

SL B-747

20,000 ft 636600 Ib

40,O00ft Stability Axis

Flexible

.3-

C_ r

\ l

(rad-')

I I I I I

O0 .2 .4 .6 .8 1.0

Mach

.2 .4 .6 .8 1.0

0 0

I I i I I

-.I--

-2--

Cn r

(rad "l )

-'.3--

--.4 --

B-747

SL

636600 Ib

.... 20,000 ft

Flexible

----- 40,O00ft

.016

.012

.008

! t

t

t

DO4

i I I I I

0 0

.8 1.0 .6

.2 .4

Mach

Note:

• Because spoilers operate

around a dead band their

effect is neglected here

• 8a is the total differential

deflection of right and

left inboard ailerons

.004

Cn8 a

.! 0

(rad)

.2 .4 . 1.0

Mach \

-.004

SL

B-747

6366001b

.... 20,O00ft

"-------- 40 O00ft Flexible

I

CY8 r

(rod "l )

I I I I I

O0 .2 .4 .6 .8 1.0

Moch

.2 .4 .6 .8 1.0

0 o

I I I I I

-.04 -

Cnar

(rod")

/

-08 -

-.12 -

.02 -

O0 .2

.4. .6 .8 1.0

Mach

co eo <o O 0 _-_ 0 0 I¢ rt D- C I_ "_ t _, 0 _ C C

• _

¢o tc, t_ c_ .-_ r_ ,,t r - r-I I_ I'M 03 ,-_ r,J ¢,j I 0 r_ _, 0

. _ _: __ _. __ _

/ ,0 • _ 0 l.L ILl I_ It" _., • • 0 (3 0 0 C if. _, • ,.0 c, o _ r-J Pw

/ t

v _0 + + 4. i__ UA _a ILl _0 * _ 0

o _ S

N _- 0 _ O, c,J OJ eq N ce, H I E'_ JI M 0 0 0 0 0

.° o G _ _ _ $ . _ _ o _- o -_ ®. o _ c_ _ _ o

I _c_ CO H kf'x O_

,_ +

tO • ¢_ 0 _¢LJ UJ ILl ,0 • ° 0 0 0 0 0 0 C_ 0 _0 0 • 0 U_ oO I

H 0

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o o _ • _

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mo

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24_

B-747 DATA SOURCES

I-_.nke_ C. Rodney and Donald R. Nordwall 3 The Simulation of a Large Jet

Transport Aircraft, Boeing Rept. No. D6-306433 Vols. I and II, Sept. 1970.

SECTION X

SECTION X

C-SA

C-_A RACm_ROU_D

The C-5 A is a very large military logistics transport powered by four

turbofan engines. Longitudinal control consists of elevators in four

sections with an all-movable stabilizer for trim, roll control employs

ailerons and spoilers, and yaw control a conventional rudder. All control

surfaces are irreversible.

A bobweight is used in the longitudinal feel system. The effective

bobweight position is assumed to be at the pilot.

The C-5 A employs stability augmentation about all axes. A description

of the SAS is not included here.

.rt b_ °,-I CH Q.)

°H 0 rO ,--I m •_ .rt _ 4a 4_

,)

)

o r-I r_ 4u cl ,'-t "d c,l

r-I I I

_1

0 0

0 0 0

o o

4 _ .H

d o

I

i ®

X_ b9

I

,.-I LFX I

"7

(1) ,rl .M 4_ OJ OJ 0,1 OJ LF_ _ -I"a 4-_ CXJ _0 ___ _ r_ 4a OJ I I I c+_ I r'-I _n _a m ,'M ,_ 0 0 0 '_0

o _ _ _o_o%_o

_, _c_ Io 0 i _ 4a _ -I _ 4_

X X X X _- _ ×x×_

C-- 0 X _ _ 0

o '._ _

_ II II II II II _._ _ II II II II It 4-) r--I aJ I

&

i X ¢J

D

b

N

.J

C-5A

PITCH AXIS

8esAs (deg)

I

Fcc('b)---_;)_"

I 8cc(in)_l -2'92 t _-'(_)_''se(r°d)-I 57..3

K

32.2 a z at _B

8.3 _. B

i II ?"

20_

/

KIlbl

I0

.._/,/ o,ooo,,

40,O00ft

I I I 1 1

O0 .2 .4 Moch .6 .8 1.0

ROLL AXIS

8asAs(deg)

8w(deg)

I

8a(rad)

Fw(Ib)

KLAT

Config. K LAT

8sp(rod)

Cleon .121b/deg

PA .155 Ib/deg

YAW AXIS

8rsAs(rad)

_ 63.5 -I 57.3

F'i_re X-3. C-_DA Control System

TABLE X-I

Power A_&ch Non-Dimensional Derivatives

h = sea level

VTo = 247 ft/sec = 146 kt

c:qO = 2.7 °

Longitudinal Lateral-D irect ional

(Stability Axis )

C L = I. 29

CylB = -.77/rad

CD = .145

Cn# = .075/rad

CI_ = 6.08/rad

C_IB = --.123/rad

CD_ = .622/rad

C_p = --.458/rad

Cm_ = --.827/rad

Cnp = -.098/rad

Cm&= - .3/rad

C_r = .290/rad

Cmq = --23 . 2/rad Cnr = --.293/rad

CLUe = .385/rad

Cysa = --.O044/rad

Spoiler

Effects

= --1.6/r d

Cnsa = .0091/rad

Included

C_sa = .089/rad

CYSr = .211/rad

Cnsr = -.106/rad

C_Sr = .0209/rad

C -5A

654562 Ib

Flexible SL

m

.... 20,000 ft

_- _ 40,000 ft

m m

IO

(deg)

4_

2_

I

I

.4 1.0

0 .2 .8

Mach

r-

U

I

I I I

OJ

O0

O0

o O

tl

i 0

U

iI

L,. _-

j .lj o

.a

0J

i LO

(-) _0

OJ

I I I I

Q _ _ _o

J

C-5A

654:562 Ib

Flexible

SL

- 20,000 ft

40,000 ft

_

5--

4--

5--

2--

I --

I I I I I

0 .2 .4 .6 .8 1.0

Moch

1.2 --

CD a

f_

,8 --

(rad -I)

.4 --

I

o I

0 .2 .4 .6 .8 1.0

Moch

Mach

0 .2 .4 .6 .8 1.0

i I I I I

C -5A

, SL

654362 Ib

.30 E --- --- -- 20,000 ft

-.4 --

----. - -- 40,000 ft

Flexible

Croci

=-.%

(rad -i )

.\

-1.2 --

t

Mach _..,,-._

1.0

.2 .4 .6 .8

0 o

I

I I I I

-4--

Cm_ ,

Cmh

Cmq

(rad -I )

-12 --

-16 --

Cmq

-20 --

-24 --

-28 --

Moch I_

1.0

0 .2

.4 .6__-'L-_._.8

-__-- '_'_" I

C-5A

CL M

654362 Ib

-I.0 --

Flexible

-I.5 --

-2.0 --

-2.5 -

-3.0 --

SL

D D--,,. 20,000 ft

40,000 ft

.12 --

.10 --

CD M

.08 --

.06 --

.04 --

.02 --

I I

0 .2

.4 .6 .8 1.0

Mach

.8 n

o6 n

o4

Cm M

.2 m

I

I

.2

1.0

-,2

C -5A

654362 Ib

SL

Flexible

-----.,-- 20,000 ft

------- 40 000 ft

CLSe

(rad "t )

,J

t I I I I

0 .2 .4 .6 .8 1.0

Mach

0 .2 .4 .6 .8 1.0

I i I t 1

-,4 --

CruSe

_=8 J

(rad -I)

-I.2 --

Mach

.2 .4 .6 .8 1.0

1 I I I I

C-5A

654362 Ib

-.4

Stability Axis

Flexible

c_

-.8

(rod -I )

-I.2

SL

-- -- -- 20,000

--- - -- 40,000

.I

____--_:_: _o=. _,, c._

I I I ,_ I

.2

.4 .8 .8/ 1.0

Mach t

(rad "l)

C_

-.I

-.2

Moch

•2 .4 .6 .8 1.0

1 I I 1 I

C -5A

654562 Ib

-.2

Stability Axis

Flexible

C_p

-.4

(rod -I )

.----.(_... _ I,_'_

-.6

SL

------- 20,000 ft

---------- 40,000 ft

Mach

0 .2 .4 .6 .8 1.0

I 1 I I I

- .04

Cnp

//

- .08

(rad-')

- .12

-.16

C -5A

654562 Ib

.50 E

Stability Axis

Flexible

.4--

,SL

• ----.---- 20,000 ft

--------- 40,000 ft

\

\, C_ r,

Cn r

°2

(rad -I)

C_ r

t I I l

.2 .4 .6 .8 1.0

Mach

-t2 -- _,__,___j_,,L_" Cnr

SL C -5A

.... 20,000 ft 654326 Ib

_----" 40,000 ft

.04 -

C_.$o

-I

(red)

.02_. --

I I I I I

0 I

.2 .4 .6 .8 1.0

Mach

.02

.01

Cn_ o

-I 0

(red)

-.01

-.02

/ ]i I _ tf

/

-.03

Mach

.2 .4 .6 .8 1.0

1 I I I I

-.002 -

-.004 -

-.O06 - 2 5 5 6 4 87 9

C-5A

6545621b

.O8

%%% ,.,,

.O4

I ........ 1 I 1

1.0

.2 .4 .6 .8

Mach

SL

20,000 ft

40,O00ft

.O2

C n 8sp

(tad -l )

.01

o [ I I I I

0 .2 .4 .6 .8 1.0

Mach

.2-

Cy8 r

(rod -j )

.l --

I I ] I I

.2 .4 .6 .8 1.0

Mach

Moch

00 .2 .4. .6 .8 1.0

I I I I i

-.04.

Cn8 r

(rad "t }

-.08

SL C-5A

20,000 ft 654..362 Ib

40,000 ft Stability Axis

Rigid

C,ts r

O0 .... I!0

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C-SA DAT_ SOURCES

C-5 Flight Control Report (Aerospace Vehicle) Stability and Control,

Lockheed-Georgia Rept. No. LGIUS_2-1-1, 8 Feb. 1966

SECTION XI

SECTION XI

XB-70A

XB-70A BACKGROUND

The XB-70A was originally designed as a weapons systems with long range

supersonic cruise capabilities. The two aircraft built became research air-

craft to explore SST-related problems.

The two XB-7OA's were identical except that the first airplane (XB-7OA-I)

had zero geometric dihedral while the second Lad 5 deg geometric dihedral.

The first airplane is considered here.

Pitch control employs interconnected elevon and canard surfaces except

in takeoff and landing where the canard is locked and a fixed canard flap

is used. Roll control is obtained through differential action of the elevons.

Yaw control is provided by rotation of the vertical stabilizers about a

45 deg hinge line.

The airplane is equipped with stability augmentation in all axes.

Data shown here is a composite of many sources. The object was to use

flight test data where possible.

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PA o/t Clean

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Config B Bobweight FS i B

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Config. K DIR G D.R

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Gear DN 3lib/in 4.0deg/in

Figure XI-5. XB-70A Control System

XB-70A

PIT.___CH SAS

8 (rad/sec) -_

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az at -_x = 36.4ft PA

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TABLE XI- I

Power Approach Nondlmensional Stability Derivatives

h : sea level

VTo : 347 ft/sec : 209 kt

ao = 7.5 deg

Lateral-Directional

Longitudinal

CL = -333

Cy_ = --.183/rad

CD = .055

Cn_ = .132/rad

CL_ : 2.6/rad

C_ : --.072/rad

CD_ = .56/rad

C_p = --.18/rad

Cm_ : -.23/rad

Cnp = --.26/tad

Cm& = +.09/rad C_r = --.03/rad

Cnr = -.25/tad

%q : -1.9/ra_

CL_ e = .46/ra_ CY$a : -.063/rad

c_ a : .042/rad

%_e : -.19/raa

Cn5 a = --.O052/rad

CYSr = .12/rad

C_5 r = -.O018/rad

Cn_r = -.103/rad

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! I I" A_ O o_ _* ,o_o- I I I O .JO r-.2 £.,_ Pr', • _T L# (j _r; ,rj • O • 45 _"J -C ,GfM I ° _ • I • I Jl | _ O ,-a4" ._J .-I .O _ 0- ...,0_ CO r_ oP- • O , fl- .-_ • • -2 -t • 0(_4 • - I _LU_ CL ,-4 --_ D_ _7 7 • " I" • i_0 • .0,."4 i • i i • ! ' I • I • I • r_ .=.. • _" 0 eel 0 • I • I 0_ I I .,-I 4_ O_ _ • ._-j i II

"7

om_ o.

• •

N

I I I I

o

, 7

I • !

I I !

_aaa

_-_-

_ o o .-, .-.o • • .,_ o ® _ _ ,o _ .-, j ._ g

N _0 .-.I e_ 41 eel ,41" • ,.-,I _ I_ • ÷ ,,f • -4 r'J • ÷ ÷ 0 I_ OJ 0 0 '_ Od ,,I" 0 t_ r%l _1 0,1 • I_ Od _ _ 0,8 • • • t",,I _ • ÷ ÷ 0', _,

•. _ ,_ 0, _ I _ o ,,, o ,,, o • _0 o

t I i- _< ILl it,.

XB-70A DATA SOURCES

Estimated Aerodynamic Derivatives., XB-70 , North American Rept.

No. 'NA-61-707, 29 June 1962

Aerodynamic Coefficients Obtained from Flight Test Data_ XB-70,

North American Rept. No. TFD-67-277, ]4 Apr. ]967

Wolowicz, Chester H., et al, Preliminary Flight Evaluation ._f the

Stability and Control Derivatives and Dynamic Characteristics

of the Unaugmented X_B-70-1 Airplane Znciuding Comparis_i_s k_th

Predictions, NASA TND-4578, May ]968

Estimated Performance Report for the XB-70A Air Vehicle _o. I,

North American Rept. No. NA-6h-660, 26 Oct. 190_

XB-70 Flight Control System Summary Test Report, North American

Rept. No. NA-_6-360, 30 Sept. 19'66

APPENDIX A

APPENDIX A AXIS SYSTEMS, SYMBOLS, COMPUTER MNEMONICS, AND DERIVATIVE DEFINITIONS I. AXIS SYSTEMS .XB,U,P _-_ _ / _-_ Inertial Ref.

YB ,Ys ,V,q _ Za ,W, r g XB, YB, ZB -- The Body-Axis System consists of right-handed, orthogonal axes whose origin is fixed at the nominal aircraft center of gravity. It's orientation remains fixed with respect to the aircraft, the XB and ZB axes being in the plane of symmetry. The exact alignment of XB axis is arbitrary, herein it is taken along the body centerline reference.

XS, YS, ZS - The Stability-Axis System is that particular body-axis system for which the Xs_axis is coincident with the projection of the total steady-state velocity vector (VTo) on the aircraft's plane of symmetry. It's orientation remains fixed with respect to the aircraft.

A-I 2. SYMBOLS ft/sec a S_peed of sound in air Lateral acceleration along the y-body axis ay at the center of gravity (positive out right ft/sec 2 wing) Lateral acceleration parallel to the y-body axis at a distance _x and _z from the c.g., ft/sec 2 a_ = ay + _x_- _z_ T Normal acceleration parallel to the z-body a Z axis at a distance _x from the c.g., r ft/sec 2 az = az _xq Normal acceleration parallel to the z-body axis at a distance _B from the c.g.

ft b Reference wing span ib/g B Bobweight gain B.L. Buttock line ft Reference chord ib/in./sec C Longitudinal feel system damping C. ,g. Center of gravity D Aerodynamic force (drag) along the total ib velocity vector (positive aft) FRL Fuselage reference line (parallel to x-body axis) F°S. Fuselage station ib Longitudinal control column force (+ aft) ib Longitudinal stick force (+ aft) FST ib Lateral stick force (+ right)

T

ib Rudder pedal force (+ right ) Fped ft/sec 2 Acceleration due to gravity g Pilot control to surface gearing deg/in, or G deg/deg A-2

h Altitude

ft

I

Longitudinal feel system inertia ib/in./sec 2

Ix_ ly_ I z Moments of inertia referred to body axis

(unless otherwise specified) slug-ft 2 ][XZ Product of inertia referred to body axis (unless otherwise specified) slug- ft 2 The imaginary portion of the complex vari- able s = J ±jc_ rad/sec Effective distance of bobweight from c.g.

_B (positive forward) ft _X Distance along the x-body axis from the c.g. (positive forward) ft Perpendicular distance from c.g. to thrust Sth line (positive for nose-up pitching moment due to thrust) ft _Z Distance along the z-body axis from the c.g. (positive down) ft K Longitudinal feel system spring constant ib/in.

KTAS Knots true airspeed KCAS Knots calibrated airspeed K T Feel system spring constant per unit dynamic (ib/in. )/psf pressure Rolling moment about the x-axis due to aero- dynamic torques (positive right wing down) ft-lb Aerodynamic force !lift) perpendicular to the total velocity vector in the aircraft's plane of symmetry (positive up) ib m Mass s_igs M Mach number M Pitching moment about the y-axis due to aerodynamic torques rpositive nose up) ft-lb MAC Mean aerodynamic chord ft MGC Mean geometric chord ft A-3

N

Aerodynamic normal force along the z-body axis, but positive up Ib Yawing moment about z-axis due to aerodynsmic torques _positive nose right) ft-lb Roll rate, angular velocity about x-axis

P

(positive right wing down) rad/sec Pitch rate, angular velocity about y-axis (positive nose up) rad/sec lb/ft 2

q

Dynamic pressure, I/2 o VTo r Yaw rate, angular velocity about z-axis (positive nose right) rad/sec Yaw rate gyro signal rad/sec rRG S rad/sec Laplace operator, a + j_ ft 2 S Reference wing area TED Trailing edge down TEU Trailing edge up TL Thrust line U Linear perturbed velocity along the x-axis (positive forward) ft/sec Linear steady-state velocity along the

Uo

x-axis (positive forward) ft/sec V Linear perturbed velocity along the y-axis ft/sec (positive out right wing) Stall speed V s Total linear steady-state velocity Cpositive VT o forwaz_ ) kt W Linear perturbed velocity along the x-axis (positive down) W°L. Water line in.

W We ight lb Linear steady-state velocity along the

Wo

z-axis (positive down) ft/sec A-4

X

Aerodynamic force along the x-axis (positive

forward )

Y

Aerodynamic force along y-axis (positive

out right wing) lb

Z

Aerodynamic force along z-axis (positive

down ) lb

(L rad Perturbed angle of attack Steady-state (trim) angle of attack _o relative to the FRL deg Sideslip angle rad Steady-state flight path angle _O deg _a Aileron control surface deflection (includes spoiler effects, etc.) (positive for posi- rad tive rolling moment) Elevator surface deflection from trim _e (positive for nose-down pitching moment for aft surface) rad Trim elevator deflection deg Longitudinal control column deflection from trim (positive aft) deg Longitudinal stick deflection from trim (positive aft) in.

Lateral stick deflection from trim (posi- tive right) in.

Rudder pedal deflection from trim (posi- Sped tive right pedal forward) in.

Lateral wheel deflection from trim (posi- _w tive about x-axis) deg Stabilizer surface deflection from trim _S (positive for TED) rad rad Spoiler surface deflection (positive up) $sp _V Vertical tail deflection from trim (posi- rad tive for nose-left yawing moment) _r Rudder de_ection [positive for nose-le_ rad yawing moment (negative N)] A-5

A Denominator of airframe transfer function

Angle between principle inertia axis and FRL g deg (positive about y-axis) Damping ratio of linear second-order mode particularized by the subscript Pitch angle, fq dt for straight and level rad flight, positive nose up Inclination of thrust line with FRL [posi- iTH deg tive gives negative (--) z force] slugs/ft3 Mass density of air The real portion of the complex variable s = a ±j_ rad/sec Roll angle, (cos eof p dt- sin eofr dt) in straight and level flight (positive right rad wing down) Undamped natural frequency of a second-order rad/sec mode, particularized by subscript Special Subscript Aileron a cc Control column d Dutch roll Elevator e G Gyro INS Inertial navigation system Phugoid P r Rudder Roll subsidence R S Spiral SAS Stability augmentation system Short period sp ST Stick A-6 Special Superscript DIR Directional control system (e.g., rudder pedal) LAT Lateral control system S_mbols Unique to S_eclflc Aircraft ARI Aileron-rudder interconnect (F-4) BLC Boundary layer control (F-I04, F-4) KDIR FLEX Rudder flexure coefficient (F-4) PBF Bellows force parameter (F-4) ft 2 qB Bellows pressure (F-4) lb/ft 2 5 d Yaw damper surface deflection (F-I04) (positive for nose-left yawing moment) rad St a Aileron tab deflection (CV-880M) rad $tac Commanded aileron tab deflection (CV-880M) tad 5t e Elevator tab deflection (CV-880M) rad (_te -- _e)c Commanded elevator-elevator servo tab combination (input linkage) (CV-880M) tad 5tr Rudder tab deflection (CV-880M) rad (Str -- 5r)c Commanded rudder-rudder servo tab combination (input linkage)(CV-880M) tad A-7

3- COMPUTER PRINTOUT MNEMONICS

a. DIMENSIONAL, MASS,ANDFLIGHTCONDITION PARAMETERS

COMPUTER rRINT OUT STANDARD NOTATION_ DEFINITION S S, wing reference area B b, wing span C E, mean geometric chord F/C# Flight Condition number H(_) h, altitude, feet SL Sea Level M(--) M, Mach number VTO(FPS) VTo , true airspeed, knots VTO (KTAS ) VTo , true airspeed knots VTo , calibrated airspeed, knots

w( s) W, weight, pounds

c.g., center of gravity relative to mean geometric chord IX IY Body axis (FILL) moments of Iy IZ Iz inertia, slugs-ft 2

Ix I

IXZ Ixz e, inclination of principle axis with _SI_N(DEG) respect to FRL, degrees Q(PSF) q, dynamic pressure, psf QC(PSF) qc, impact pressure, psf ALPHA(DEG) So, FRL angle of attack, degrees _(DEG) 7o, flight path angle, degrees

LXP(FT) £x, x distance to pilot, ft

up(n)

_z' z distance to pilot, ft ith , thrust incidence with respect ITH(DEG) to FRL, degrees XI(DEG) _o' ith + %' degrees /th, perpendicular distance to LTH(FT) thrust line from c.g., ft A-8

b. LONGITUDINAL PARAMETERS

COMPUTER PRINT OUT STANDARD NOTATION_ DEFINITION XU* X u ]/sec zu* z_ 1/see MU* M_I I/sec-ft XW X w 1/sec ZW Zw 1/see MW M w I/sec-ft ZWD Z_ I/sec 2 ZQ Zq I/sec MWD M@ l/sec-ft MQ Mq I/sec tXDDD X8 ft/sec2-rad ZDDD Z 5 ft/sec2-rad MDDD M5 1/sec 2 DTH 5th Thrust FST Fst Stick force U u fps W w fps THE e rad HD _ fps AZP a_ 1"t/sec 2 at X = Ax _DDD signifies a control surface, e.g., for elevator DDD = DE; for aileron DDD = DA A-9

C° LATERAL-DIRECTIONAL PARAMETERS

COMPUTER P:_INT OUT STANDARD NOTATION t DEFINITION YV Yv I/sec YB Y_ ft/sec 2 LB' 1% I/sec 2 NB' N% I/sec 2 LP' I_ 1/see

_, _ 1/see

_' L_ 1/seo

_' N_ 1/sec

* 1/see ty*DDD Y_ L'DDD I_ l/sec 2 N'DDD N_ I/sec 2 B _ rad P p rad/sec R r rad/sec PHI _ rad t AYP ag ft/sec 2 at _x, _z tDDD signifies a control surface, e.g., for elevator DDD = DE; for aileron DDD = DA.

A-IO

d. TRANSFER FUNCTION PARAMETERS

The following shorthand notation is used to print the factored

polynomials for all transfer functions*:

(s + ]/Tx) i : ]/Txi , i : ] to k

(_2 + 2_%s + %2)j

: _j;_nj , j : I to where k + 2_ = n, the order of the polynomial COMI_ER PRINT OUT STANDARD NOTATION 2 DEFINITION Roots of the denominator DET N(X/Y) Numerator N_ Gain of the transfer function x/y A(X)

'i/T(X)I I/Txi , rad/sec

,z(x)J

_j

tw(x)j

Cenj, rad/sec OE NCM INATOR For example: I/T(OET }I .0318 I/_IOET}2 2.2C Z{DET} I .06C9 W[DET] 1 1.13 NU M ERATOR S N| 8 /OR } A{B } .0295 I/T|B _I -.0494 I/T (B }2 2.05 I/T (8 } 3 42.3

A. : .o_(s- .o494)(s + 2.o_l(s + _2.3/

Translates to: 6r (s + .0318)(s + 2.20)(s 2 + 2 X .0609 X 1.13s + 1.132s 2) *The transfer function x/y is written as: N_y Ax( sm + sm-1 + ... s o ) x/y = a (S n + Sn-1 + ... S O) _Any roots enclosed in parentheses imply the opposite order of what is specified, e.g., Z(DET)I = (O.OO132)_I/T(DET)I = 0.00132 A-II e. LONGITUDINAL HANDLING QUALITY PARAMETERS EQUATION COMIKITER PRINT OU STANDARD NOTATION I DEFINITION --r W^ U o 1

l. cs /

68 L _O O J _/_u, de_rees/knot DCO)fO(U) (D_I_) (I. 9)(97.3) Uo u Wo w , for s=O •-u o _(s) for s =0 Nz_ , g/rad ¢ _(S)' for s = 0 5e/g , degrees/g DEIo (_1_) a(s) ! ' Control anticipation CAP(mD I_clsEC IG ) parameter, rad/sec2/g in 2 The phugoid time to double amplitude, seconds ---_, for _Ph < 0 2_ Short period inverse cycles l/c(_/_o) ll_ for O <' - _sp < I to 1/10 amplitude in 10 _I -- _sp 1.689 (s for s = O Stick force per knot, Fs_/n (,.-/l=) l_unds/knot -I Stick force per g, pounds _S_/G (uVG) per g The parameter has no meaning or is not defined at this flight condition *The hat (2) notation implies constant speed (u = e o = 0).

A-12 f. LATERAL-DIRECTIO?_AL _ANDLING QUALITY PARI_4ETERS COMPUTERPRIf[U OUT STANDARD _DTATIONj DEFINITION EQUATION DR PERIOD(SEC) Dutch roll period, seconds 2_/ahd _ -- _d 2 Dutch roll inverse cycles iic(i12) for _d _ 0 in 2 to I/2 amplitude SPIRAL (2) (SEC) Spiral time to double Ts in 2, for I/Ts £ 0 amplitude, seconds Roll rate at peak I for a unit step input of 5 a Pl + P3 - $2 for _d _ 0.2 P l + P3 + 2P2 ' A measure of the oscillatory P(OSC)IP(AV) to the average roll rate Pl -- P2 for _d > 0.2 Pl + P2 Ratio of the roll frequency to the dutch roll frequency DEL-B-_gbX 2_.m : Maximum sideslip excur- slon at the c.g., occurring within two seconds or one half- period of the dutch roll, which- ever is greater for a step aileron-control command PHI to BETA, PHASE _/_ at s = (_; C0n)d, degrees PHI TO BETA

I /BI at s = (_ O_)d, radlrad

PHI TO VE "_/Vel at s = (_; o.h)d, deg/fps *v e : (8)(VEAS) , VEAS : _p2_ 0 A-IS 2. NGNDIMENSIONAL DERIVATIVE DEFINITIONS a) Longitudinal Body Axis N CN = _-_ , positive up X CX = - _-_ , positive aft M

c_ = _--_/_ CM = _ Sc

2Vmo _c_/_

c_ = _cW_

V-

2Vmo _cW_

c_ : -'-T-

c_ = _cWM

et% -- _CN/_,

2v_°_c_/_q

Cxa = _Cx/_

CMq - c

CxM = _Cx/_M

Cx_ : _cx/_

ID) Longitudinal Stability Axis L CL - _ S ' positive up D CD - _ S ' positive aft :

2Vmo _Cn/_

Pitching moment

c_ - c

derivatives are

c_ = ac_aM

identical to those for body axis

c_ = acD/_

A-14

c) Lateral Body and Stability Axis

Though physically and numerically different,* see Appendix B, the

samesymbols are used for body axis and stability axis lateral rolling

and yawing momentderivatives. The sideforce derivatives (Cy, etc.) al

physically and numerically the same in both axis systems. Whenthe

rolling or yawing momentderivatives are given in this report the axis

system is specified. Whenusing the following all quantities should be

for the sameaxis system.

L N

Y

Cy

C1 - qSb Cn - _Sb

= BCylB_

Cl_ = _CI/8 _ Cn_ = _C_8_

Cy_

2VTo 8cml_ ev_°

= _Cy/_

Clp - b Cnp - b 8CNI_

2v_° _ci/8r 2VTo 8c_/8r

Clr - b Cnr - b

c_ = _/_ c_ = _cJ_

*The exception is the zero trim angle of attack condition.

A-15 5. DIMENSIONAL STABILZTY DEF_I_ATrWE DEFINITIONS The same symbols are used for body- and stability-axis dimensional derivatives. Care should be exercised so that a consistent set of quantities are used.

a) I_ngitudinal Body Axis I/see

_u = Xu+ Tu cos_o

__ 0_o(_ We)

m - 2 CxM - Cx + _ cxcz I/sec

!

OSUo

Wo M ]

Xw - 2m 2 _o (cx + _ %) 11sec

[- CX_ -

osv_ o

ft

x8e = - _ CXse

sec2rad I/sec Z*u = Zu - Tu sin_ o I/sec

oS_o (_ _)

Zu - m - _ CNM - CN + CN(_ I/sec ooo[wo .

Zw - 2m -CN(_ - 2 _oo (CN + _ CNM pSc U o

z_ = - 4m Vmo cN&

PS_T o ft ZSe - 2m CNSe sec2rad _th M_ = Mu +-_--_I sec-ft A-16 I sec-ft MII = I sec-ft oScUo Cm_ + (Cm + I sec-ft pSc2 Uo Cm_

= l_-y VTo

I/sec 2 I/sec I/SeC pSC2VTo pScVT2o MSe = - 2Iy- CruSe _/SeC

% =

b) L_ter_-% Body Axis I/sec Yv = (pSVTo/2m) CY_ ft/sec 2 Y_ = VToYv ft/sec 2 Ysa = (pSV2To/2m)CYSa ft/sec2 YSr = (pSV_o/Zm)CYSr I/sec YSr = (pSVTo/2m) CySr

_/_

= (_SV_ob/_I_)c _

1/sec I/sec Lr = (pSVTob2/_Ix) Clr A-17 I/sec 2 L5 a = (DSVTJ/2Ix)C15 I/sec 2

L_r

= (PS_TJ/2Ix)C15 r I/sec

YS_

: (_SV_o/2m)Cy_a

I/sec 2

: ( SV ob/21,.)c

I/sec

: (psv_J/41z)C_ p

I/sec Nr : (pSVTob2/4Iz) Cnr I/sec 2

Nsa = (oS_TJ/2Iz)Cnsa

I/sec 2 : (PS_T2/2Iz)Cn5 r N5 r I/sec 2 = (L8 + IxzN_/Ix)G I/sec = (Lp + IxzNp/Ix)G I/sec = (L r + IxzNr/Ix)G

: (_6r+ IxzNSr/IX) G

I/sec 2

= (%_ + IxzNS_/Ix)O

I/sec 2 = (N_ + IxzL_/Iz)G I/sec

: (_p+ I_zLplIz)G

I/sec = (N r + IxzLr/Iz)G I/sec 2

NSr = (NSr + IxzLSr/Iz)G

I/sec 2 = (Nsa + IxzI6a/Iz)G I G I Ixlz A-18 ,,,'t "r4 _ _ r_ c_ r,_ U + i i -t- o 0 0 0 ¢..) U 0 0 I-¢ k /.-, I 0 0 0 'o ' ' ÷ 'o& _ ¢0 H r,_ o o ¢O II II H II n tl H 11 eJ m t_ 0 0 r.,3 I II A _q ¢0 r_ H m r.3

4,r

!

cr_ H _1 r_ c.) r_ F-I rj_ o o C_, H CO II II II II II II II U il II n tl !

d B-I b. TRANSFORMATION OF DIMENSIONAL DERIVATIVES FROM STABILITY AXIS TO BODY AA_IS Longitudinal = Xu cos2 _o - (Xw + Zu) sin c% cos _o + Zw sin2 _ (Xu) b = Z@ sin 2 ao

(X )b

= Xw cos2 _o + (Xu-- Zw) sin c_ o cos ao -- Z u sin 2 a o

(Xw)b

= X@ cos 2 a o -- Z@ sin c_ o cos _o

(x,) b

(Xq;5) b = Xq; 5 cos a o -- Zq;5 sin _o = Zu cos2 _o -- (Zw--Xu) sin _o cos oo --Xw sin 2 _o

(Zu)b

(Z_) b = --Z@ sin _o cos c_ o (Zw) b = Zw cos 2 ao + (Zu + Xw) sin ao cos c_ + Xu sin 2 _o = Z@ cos 2 c_ 0 + X@ sin oo cos ao (Z-_-) b (Zq;5)b = Zq;8 cos ao + Xq;8 sin c% = Mw cos ao --Mu sin ao

(MU)b

= -¢4@ sin a o

(M )b

= M w cos c_ o + M u sin _o = M, cos _o (_)b (Mq;5) b = Mq; 8

(ly) b

B-2 Lateral-Directlonal

(Yv; )b = Yv;5

= Y@

(Y÷)b

(YP)b = Yp cos co -- Yr sin co

(Y )b

= Yr cos co + Yp sin cO T !

= L_; 5 cos c_ -- Nv; 5 sin c_ = L_ cos c_ o -- sin co = _ cos 2 _o- (L_ + N_) sin c_ cos _o + N_ sin 2 oo f = L_ cos 2 _o -- (Nr -- _) sin ao cos Go -- N_ sin 2 _o (Lr) b T = N_; 5 cos C_o + L_;5 sin co ! ! !

= N_ cos c% + L_ sin _o (N$) b

(N )b = N_ cos 2 Go -- (N_ -- _) sin Go cos ao -- L_ sin 2 co

(Nr)b

: N$ cos 2 ao + (L_ + N_) sin ao cos Co + _ sin 2 Go = Ix cos2 Go + 2Ixz sin a o cos co + I z sin 2 ao

(IX)b

= I z cos 2 Go -- 2Ixz sin co cos co + Ix sin 2 c_ o (Iz) b = (I z -- Ix) sin ao cos ao + Ixz(COS 2 _o -- sin2 Go)

(IXZ)b

B-3

APPENDIX C

APPENDIX C

EQUATIONS OFMOTION, TRANSFER FDT_CTIONS,

ANDCOUPLING hq]_RATORS

I • Longitudinal a. Eouations u I" X$e- (-Xq+Wo)s+g cos 8o -] (I-xa)s-x; -X_ s - X w w

[Se]

(I-z_)s-zw (--Zq--Uo)s+g sin 8 o = ZSe

-z_s - z[

M{5e

-(M,_+ Mw) s2 -- MqS

--_s-N

q. = .SO fi = --w cos O o + u sin O 0 + (U o cos O 0 + W o sin 0o)8 a z = sw -- Uoq + (g sin 00)8 , = a z -- ixS2O _z

h' : h +_x oos _o

b. Transfer Functions

e _e

5 e A I) Denominator, A = As 4 + Bs 3 + Cs 2 + Ds + E A = (1--Z_) = -(Mq + XU)(J -- Z_) -- Z w- M_ - Xw_ + Wo[M_ + M_(] - Z_)] + g_ sin 80 NOTE: Terms including Xd, Zfl , Mfl_ X@ are neglected in polynomial expressions.

C-I

D -- -x_(Mqz_-._) -MuX _+Mqx_z_ +g[%z_+M_(_ -z_ oo_ e o +Wo(M_z_ -._z_)

+ g(Mw-%X_)sin eo

E = g(%Z* - MuZw)oOS eo + g(MuXw - _,X_),i,, e o

Numerators

2)

N_ = Ass2 + Bes + C8

= %_ + %(, - %)

B0 = xs[_z_+ ._(, -%)]÷%(_- %x_)-%[m.+×*!_ -%)]

c e ="xs(%,,z _ -M_z_)+ zs(M_x _. %,x*)+%(ZwX _ - x,z*)

I_E = Au S3 + Bus2 +Cus +D u IA u = X5(I - Z.)

W

Bu = -_[Mq(, - z_)+ z_+ _] + %x_ - Wo[%% + _o(' - %)]

+ Wo(Zw%-MJ_) + gX8% sin e o

D u = g(ZwM 5 - MwZs)cos e o + g(XsM w - MSXw)Sin 8 0 N_ = Aw s3 + Bw s2 + CwS + Dw Aw= Z5

B_= -%(Mq + xu)+ UoM 5 + xs_

C w = X_(ZsMq- UoM_) + Wo(ZsM u - _Z_) - gM 5 sin e O+ X5(M_U o - Z_Mq) D w = g(Zs_ u - %Z_)cos e o + gMsX _ sin @o- XSM_g sin e O H-747 C-2

N_ : A_s 3 + B_s 2 + Cis + D i

A£ = - cos eoAw+ sin OoA u

B_ = - cos eoBw + sin eoB u + (U O cos e O + W O sin eo)A e O_ = - cos @oCw + sin @oCu + (U O cos @o + Wo sin eo)B @ D_ = - cos @oDw + sin @oDu + (U O cos @o + Wo sin @o)C@

N_Z--Aa_s 4 + Ba[_3 +C_[s _+ D_ls +E '

a z

A_ = A_ - ixA e

Ba_ = B w - ixB e - UoA @ Ca_ = C w - ixC 8 - UoB 8 + g sin @oA9 Da_ " = D w - UoC @ + g sin 8oB @ Ea_ = + g sin @oC@ To obtain az, let ix = O.

2. Lateral a. Equations t Wos + g cos e o Uos--g sin eo- s-Y v Y5 a Y5 r VToS VT o !

! !

V P

-b --Lr

s(s-_) L5 a L5 r

s

I a]

r ! t !

r s--N r N5 a N5 r v = VToO sv + Uor -- WoP-- g(cos 8o) _ !

= _p_ +---r tan 8 o

s s ay =

ay + lXlat sr -- izS p ] r cos e o s C-3 b. Transfer Functions r N_Sr m _. m etc.

5r Alat 5 a Alat + bs 3 + cs 2 +ds+e I ) Denc_Linator, Lhla t = as a = I

b - -CY + + Nr)

U o WoL_ C - N_ + _(Yv + N_) - NSL_+ YvN_ VT o VT o d U° (N_- L_N_) + Yv(N_L_- L_oNr)---_- (_ cos e o + N_ sin e o) VT o VT o W o

v%

= _ [(_N_-- N_L_) cos e O- (N_ - L_) sin 80] VT o 2) 5 (5 a or 5r) Numerators N66 = A_s 3 + B_s 2 + C_s + D6

=

%

, Uo Wo , % = -Y_[_ + N_] --N 5- +--L 5 VT o VT o C 0 Y_ (_N_ "'_'_ _ __----g (N_- L_N_) U° = -- _pLr/ + L_ VTo cos e o + --VT ° Wo , , , , , g + _ (NsL r -- LSNr) + N5 _ T sin 8o VTo o D_ = _VT° (N_L_ - L_N_) cos e 0 +_9_gVT ° (N_L_ -- N_) sin 8 0 C-4

N_5 = Aps3 + Bps2 + Cps + Dp

!

Ap = L5 = LS(Nr + Yv) + NSLr VT o g (L_ -- N_) sin eo Dp = -- VT O N_ = Ar s3 + Br s2 + Crs + D r f A r = N 8 . _, f ! f

Br = Y_N_ + n_Np-Ns(Y _ + $)

W o

C r = Y_(I%N_- N_%)- L_YvN _ + N_Yv% +- (LgN% -- NgL%)

VT o

-- ---g (L_N%- NgL%) ooseo

Dr VTo N_ = Acs 2 + Bcs + C A¢ = Ap + A r tan 8 o Be = Bp + Br tan 8 o C¢ = Cp + C r tan e o C-5

a' CayS 2 _ _4s 4+_2 + +_ +_4

AT ___ ay VToA_ + lxlatAr- lzAp !

= VToB _ + UoA r - WoA p + iXlatBr - lzB p ay = VToC _ + UoB r- WoB p- g cos 8oA¢ + lxlatC r - izC p

c_

= VTD _ + UoC r- WoC p- g cos eoB ¢ + iXlatD r - izD p

D_

= UoD r- WoD p- g cos eoC ¢

E_

To obtain ay, let lxlat = i z = 0.

H-747 __ _ C-6 k - L- [=. ..... _ __ " =_ -- _-_. .... :7 _ _ ..... . • - _ .

p Z .... _ .- -- -Lg'. 3

Source & rights

Source: ntrs.nasa.gov. Public-domain U.S. Government work (17 USC §105) — freely reproducible.

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Document details

Doc number
19730003312
Publisher
NASA
Year
1972
Pages
352
File size
6.8 MB
Chapters
10