Flight Dynamics Principles - 3rd Edition - ISBN: 9780080982427, 9780080982762

Flight Dynamics Principles

3rd Edition

A Linear Systems Approach to Aircraft Stability and Control

Authors: Michael Cook
eBook ISBN: 9780080982762
Hardcover ISBN: 9780080982427
Imprint: Butterworth-Heinemann
Published Date: 26th October 2012
Page Count: 608
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The study of flight dynamics requires a thorough understanding of the theory of the stability and control of aircraft, an appreciation of flight control systems and a grounding in the theory of automatic control. Flight Dynamics Principles is a student focused text and provides easy access to all three topics in an integrated modern systems context.

Written for those coming to the subject for the first time, the book provides a secure foundation from which to move on to more advanced topics such as, non-linear flight dynamics, flight simulation, handling qualities and advanced flight control.

Key Features

  • Additional examples to illustrate the application of computational procedures using tools such as MATLAB®, MathCad® and Program CC®
  • Improved compatibility with, and more expansive coverage of the North American notational style
  • Expanded coverage of lateral-directional static stability, manoeuvrability, command augmentation and flight in turbulence
  • An additional coursework study on flight control design for an unmanned air vehicle (UAV)


Aerospace and aeronautical engineering students; CPD audience from the aero industry

Table of Contents


Preface to the second edition

Preface to the first edition




Examples of other symbols and notation

Chapter 1. Introduction

1.1 Overview

1.2 Flying and handling qualities

1.3 General considerations

1.4 Aircraft equations of motion

1.5 Aerodynamics

1.6 Computers

1.7 Summary



Chapter 2. Systems of Axes and Notation

2.1 Earth axes

2.2 Aircraft body–fixed axes

2.3 Euler angles and aircraft attitude

2.4 Axes transformations

2.5 Aircraft reference geometry

2.6 Controls notation

2.7 Aerodynamic reference centres


Chapter 3. Static Equilibrium and Trim

3.1 Trim equilibrium

3.2 The pitching moment equation

3.3 Longitudinal static stability

3.4 Lateral-directional static stability

3.5 Calculation of aircraft trim condition



Chapter 4. The Equations of Motion

4.1 The equations of motion for a rigid symmetric aircraft

4.2 The linearised equations of motion

4.3 The decoupled equations of motion

4.4 Alternative forms of the equations of motion


Chapter 5. The Solution of the Equations of Motion

5.1 Methods of solution

5.2 Cramer’s rule

5.3 Aircraft response transfer functions

5.4 Response to controls

5.5 Acceleration response transfer functions

5.6 The state-space method

5.7 State-space model augmentation


Chapter 6. Longitudinal Dynamics

6.1 Response to controls

6.2 The dynamic stability modes

6.3 Reduced-order models

6.4 Frequency response

6.5 Flying and handling qualities

6.6 Mode excitation


Chapter 7. Lateral-Directional Dynamics

7.1 Response to controls

7.2 The dynamic stability modes

7.3 Reduced order models

7.4 Frequency response

7.5 Flying and handling qualities

7.6 Mode excitation


Chapter 8. Manoeuvrability

8.1 Introduction

8.2 The steady pull-up manoeuvre

8.3 The pitching moment equation

8.4 Longitudinal manoeuvre stability

8.5 Aircraft dynamics and manoeuvrability

8.6 Aircraft with stability augmentation


Chapter 9. Stability

9.1 Introduction

9.2 The characteristic equation

9.3 The Routh-Hurwitz stability criterion

9.4 The stability quartic

9.5 Graphical interpretation of stability


Chapter 10. Flying and Handling Qualities

10.1 Introduction

10.2 Short term dynamic models

10.3 Flying qualities requirements

10.4 Aircraft role

10.5 Pilot opinion rating

10.6 Longitudinal flying qualities requirements

10.7 Control anticipation parameter

10.8 Lateral-directional flying qualities requirements

10.9 Flying qualities requirements on the s-plane


Chapter 11. Command and Stability Augmentation

11.1 Introduction

11.2 Augmentation system design

11.3 Closed-loop system analysis

11.4 The root locus plot

11.5 Longitudinal stability augmentation

11.6 Lateral-directional stability augmentation

11.7 The pole placement method

11.8 Command augmentation


Chapter 12. Aerodynamic Modelling

12.1 Introduction

12.2 Quasi-static derivatives

12.3 Derivative estimation

12.4 The effects of compressibility

12.5 Limitations of aerodynamic modelling


Chapter 13. Aerodynamic Stability and Control Derivatives

13.1 Introduction

13.2 Longitudinal aerodynamic stability derivatives

13.3 Lateral-directional aerodynamic stability derivatives

13.4 Aerodynamic control derivatives

13.5 North American derivative coefficient notation


Chapter 14. Flight in a Non-steady Atmosphere

14.1 The influence of atmospheric disturbances on flying qualities

14.2 Methods of evaluation

14.3 Atmospheric disturbances

14.4 Extension of the linear aircraft equations of motion

14.5 Turbulence modelling

14.6 Discrete gusts

14.7 Aircraft response to gusts and turbulence


Chapter 15. Coursework Studies

15.1 Introduction

15.2 Assignment 1: Stability augmentation of the North American X-15 hypersonic research aeroplane

15.3 Assignment 2: The stability and control characteristics of a civil transport aeroplane with relaxed longitudinal static stability

15.4 Assignment 3: Lateral-directional handling qualities design for the Lockheed F-104 Starfighter aircraft

15.5 Assignment 4: Analysis of the effects of Mach number on the longitudinal stability and control characteristics of the LTV A7-A Corsair aircraft

15.6 Assignment 5: The design of a longitudinal primary flight control system for an advanced-technology UAV


Appendix 1: AeroTrim: A Symmetric Trim Calculator for Subsonic Flight Conditions

Appendix 2: Definitions of Aerodynamic Stability and Control Derivatives

Appendix 3: Aircraft Response Transfer Functions Referred to Aircraft Body Axes

Appendix 4: Units, Conversions, and Constants

Appendix 5: A Very Short Table of Laplace Transforms

Appendix 6: The Dynamics of a Linear Second Order System

Appendix 7: North American Aerodynamic Derivative Notation

Appendix 8: Approximate Expressions for the Dimensionless Aerodynamic Stability and Control Derivatives

Appendix 9: Transformation of Aerodynamic Stability Derivatives from a Body Axes Reference to a Wind Axes Reference

Appendix 10: Transformation of the Moments and Products of Inertia from a Body Axes Reference to a Wind Axes Reference

Appendix 11: The Root Locus Plot



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About the Author

Michael Cook

After graduating Michael Cook joined Elliott Flight Automation as a Systems Engineer and contributed flight control systems design to several major projects. Later he joined the College of Aeronautics to research and teach flight dynamics, experimental flight mechanics and flight control. Previously leader of the Dynamics, Simulation and Control Research Group he is now retired and continues to provide part time support. In 2003 the Group was recognised as the Preferred Academic Capability Partner for Flight Dynamics by BAE SYSTEMS and in 2007 he received a Chairman’s Bronze award for his contribution to a joint UAV research programme.