Physics & chemistry

Elements of Airplane Performance

Ger J. J. Ruijgrok, Mark Voskuijl, Carmine Varriale
TU Delft OPEN Publishing · Third edition (2025) · English · Published 2025

Flight-performance principles for fixed-wing aircraft, including aerodynamics, propulsion, flight envelopes and conversion tables.

Learning stage
Advanced college
Prerequisites
Undergraduate mechanics, aerodynamics and calculus.
PDF pages
432 in this file
Editorial review
2026-10-29

Contents

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  • Preface

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  • Basic concepts
    • Basic concepts

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    • Introduction

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    • The airplane is regarded a rigid body

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    • Application of Newton's law with respect to an axis system attached to the Earth

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    • Gravitation

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    • The effect of curvature of the Earth

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    • Coordinate-systems

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    • Angles and velocities describing the angular displacement of the airplane

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    • The airplane

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    • Flight types, airplane configuration and flight condition

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    • Forces on the airplane

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    • SI-system of units

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    • Problems

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  • The atmosphere
    • The atmosphere

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    • Nature of the atmosphere

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    • Variation of pressure with altitude

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    • Standard atmospheres

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    • Off-standard atmospheres

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    • Humidity

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    • Vertical motion in the atmosphere

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    • Wind

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    • Atmospheric fronts

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    • Problems

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  • Equations of Motion
    • Equations of Motion

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    • Translational Motion

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    • Rotational motion

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    • Unsteady motion

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    • The most general steady motion

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    • Special types of steady flight

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    • Translational equation for variable mass

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    • Problems

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  • Aerodynamic Basis
    • Aerodynamic Basis

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    • Aerodynamic coefficients

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    • Airfoil and wing characteristics

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    • The lift-drag polar

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    • Parabolic lift-drag polar

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    • Problems

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  • Air Data Instruments
    • Air Data Instruments

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    • Introduction

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    • The altimeter

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    • The vertical-speed indicator

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    • The airspeed indicator

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    • The Machmeter

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    • Ambient air temperature measurement

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    • Problems

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  • Propulsion
    • Propulsion

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    • Types of airplane propulsion systems

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    • The piston engine

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    • The electric motor

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    • Definition of thrust for jet propulsion

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    • Ideal turbojet cycle

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    • Component efficiencies

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    • Typical turbojet performance

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    • The turboprop engine

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    • The turbofan

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    • Hybrid-electric propulsion architectures

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    • Problems

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  • Propeller Performance
    • Propeller Performance

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    • Propeller thrust and efficiency

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    • Propeller geometry

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    • Blade element theories

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    • Propeller charts

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    • Installed propeller performance

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    • Problems

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  • The airplane in Symmetric Flight
    • The airplane in Symmetric Flight

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    • Fundamental equations

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    • Integral and point performance

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    • Air loads

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    • Stalling speeds

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    • Load factor envelopes

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    • Problems

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  • Performance in steady symmetric flight
    • Performance in steady symmetric flight

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    • Basic Relations

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    • Drag and power required

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    • Thrust and power available

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    • The performance diagram

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    • Performance prediction using analytical expressions

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    • Problems

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  • Effect of Altitude
    • Effect of Altitude

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    • Effect of altitude on drag and power required

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    • Rate of climb and climb angle

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    • Stall, propulsion and buffet boundaries

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    • Flight envelope

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    • Problems

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  • Flight and airplane condition effects
    • Flight and airplane condition effects

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    • Effect of weight

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    • Effect of engine failure

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    • Effect of changes of engine control setting

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    • Effect of airplane configuration

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    • Problems

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  • Turning Performance
    • Turning Performance

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    • Governing equations

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    • Equations for the performance in a coordinated turn

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    • Calculation of turning performance

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    • Analytic expressions for best turning performance

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    • Climbing and descending turns

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    • Problems

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  • Gliding Flight
    • Gliding Flight

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    • Symmetric Flight

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    • Effect of altitude

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    • Effect of wind

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    • Turning flight

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    • Cross-country flight

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    • Problems

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  • Symmetric Climb and Descent
    • Symmetric Climb and Descent

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    • Quasi-steady symmetric flight

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    • The unsteady quasi-rectilinear climb

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    • Optimum climb

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    • Effects of vertical wind gradients

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    • Limitations on vertical velocity

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    • Problems

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  • Cruise Performance
    • Cruise Performance

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    • Range and Endurance

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    • Approximate analytic expressions for range and endurance: propeller propulsion

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    • Approximate analytic expressions for range and endurance: jet propulsion

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    • Effect of wind on cruise performance

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    • Weight breakdown

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    • The economic performance of transport airplanes

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    • Problems

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  • Airfield Performance
    • Airfield Performance

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    • The takeoff maneuver

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    • Takeoff ground run

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    • The airborne phase of the takeoff maneuver

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    • Effect of wind on takeoff

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    • The landing maneuver

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    • The airborne distance of the landing maneuver

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    • The landing ground run

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    • Problems

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  • Newtonian Mechanics
    • Newtonian Mechanics

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    • Newton's laws of motion

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    • Newton's first law

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    • Newton's second law of motion

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    • Effect of rotation

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    • Non-inertial reference frames

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    • Systems of particles

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    • General bodies

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    • Rigid bodies

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    • Center of gravity

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  • Switching Between Axis Systems
    • Switching Between Axis Systems

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    • Euler angles and axis systems

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    • Matrix representation

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    • Rotation matrices

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    • Moving Earth and body axis system relationships

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    • Moving Earth and air-path axis system relationships

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    • Air-path and body axis system relationships

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    • Deriving the equations of motion: symmetric flight

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    • Deriving the equations of motion: generic flight in wind field

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  • One-dimensional steady flow equations
    • One-dimensional steady flow equations

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    • Continuity equation

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    • Bernoulli's equation

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    • The momentum equation

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    • The energy equation

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    • Isentropic relations

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    • The speed of sound

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    • Bernoulli's equation for compressible flow

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    • Isentropic flow of a perfect gas through a channel of varying cross-section

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    • Normal shock waves

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    • Oblique shock waves

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  • International Standard Atmosphere

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  • Conversion Factors

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  • References

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Sources and permissions

The author and publisher remain the source of this textbook. Permission information applies to the specific files in this edition.

Author, publisher, and discovery sources

Authors: Ger J. J. Ruijgrok, Mark Voskuijl, Carmine Varriale
Publisher: TU Delft OPEN Publishing

  • Discovered through Open Textbook Library: Source record · Checked 2026-10-29
  • Discovered through Open Textbook Library: Source record · Checked 2026-10-25
CC BY 4.0

Ger J. J. Ruijgrok; Mark Voskuijl; Carmine Varriale. Elements of Airplane Performance. TU Delft OPEN Publishing. Third edition (2025). CC BY 4.0. Cover: Alispective / Pexels, Turkish Stars Aerobatic Display in Clear Blue Sky, retained under the Pexels license (https://www.pexels.com/license/).

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