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Table of Contents
Introduction
What, Why and How?
Aircraft as a Rigid Body
Six Degrees of Freedom
Position, Velocity and Angles
Aircraft Motion in Wind
Longitudinal Flight Dynamics
Longitudinal Dynamics Equations
A Question of Timescales
Longitudinal Trim
Aerodynamic Coefficients CD, CL, Cm
Wing–Body Trim
Stability Concept
Linear First-Order System
Linear Second-Order System
Nonlinear Second-Order System
Pitch Dynamics about Level Flight Trim
Modelling Small-Perturbation Aerodynamics
Pitch Dynamics about Level Flight Trim (Contd.)
Short-Period Frequency and Damping
Forced Response
Response to Pitch Control
Longitudinal Trim and Stability
Wing–Body Trim and Stability
Wing–Body Plus Tail: Physical Arguments
Wing–Body Plus Tail: Math Model
Role of Downwash
Neutral Point
Replacing VH with VH /
Effect of CG Movement
Rear CG Limit due to Airplane Loading and Configuration at Take-Off
Cm, CL Curves—Non-Linearities
Longitudinal Control
All-Moving Tail
Elevator
Tail Lift with Elevator
Airplane Lift Coefficient with Elevator
Airplane Pitching Moment Coefficient with Elevator
Elevator Influence on Trim and Stability
Longitudinal Manoeuvres with the Elevator
Most Forward CG Limit
NP Determination from Flight Tests
Effect of NP Shift with Mach Number
Long-Period (Phugoid) Dynamics
Phugoid Mode Equations
Energy
Phugoid Mode Physics
Phugoid Small-Perturbation Equations
Aerodynamic Modelling with Mach Number
Phugoid Dynamics
Phugoid Mode Frequency and Damping
Accurate Short-Period and Phugoid Approximations
Derivative CmMa
Derivative Cmq1 in Pitching Motion
Derivative Cmq1 in Phugoid Motion
Flow Curvature Effects
Lateral-Directional Motion
Review
Directional Disturbance Angles
Directional versus Longitudinal Flight
Lateral Disturbance Angles
Lateral-Directional Rate Variables
Small-Perturbation Lateral-Directional Equations
Lateral-Directional Timescales
Lateral-Directional Aerodynamic Derivatives
Lateral-Directional Small-Perturbation Equations (Contd.)........ 202
Lateral-Directional Dynamics Modes
Lateral-Directional Dynamic Modes
Roll (Rate) Mode
Roll Damping Derivative Clp2
Roll Control
Aileron Control Derivative, Clδa
Yaw due to Roll Control
Aileron Input for a Bank Angle
Dutch Roll Mode
Directional Derivatives CYβ and Cnβ
Lateral Derivative: Clβ
Damping Derivatives: Cnr1 and Clr1
Rudder Control
Spiral Mode
Real-Life Airplane Data
Computational Flight Dynamics
Aircraft Equations of Motion
Derivation of Aircraft Equations of Motion
3–2–1 Rule
Derivation of Aircraft Equations of Motion (Contd.)
Numerical Analysis of Aircraft Motions
Standard Bifurcation Analysis
Extended Bifurcation Analysis