Orbital Mechanics for Engineering Students 4th Edition by Howard Curtis, ISBN-13: 978-0081021330

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Orbital Mechanics for Engineering Students 4th Edition by Howard Curtis, ISBN-13: 978-0081021330

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• Publisher: ‎ Butterworth-Heinemann; 4th edition (July 24, 2019)
• Language: ‎ English
• ‎792 pages
• ISBN-10: ‎ 008102133X
• ISBN-13: ‎ 978-0081021330

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Includes all the necessary tools to learn orbital mechanics in one volume―theory and practical examples.

Orbital Mechanics for Engineering Students, Fourth Edition, is a key text for students of aerospace engineering. While this latest edition has been updated with new content and included sample problems, it also retains its teach-by-example approach that emphasizes analytical procedures, computer-implemented algorithms, and the most comprehensive support package available, including fully worked solutions, PPT lecture slides, and animations of selected topics. Highly illustrated and fully supported with downloadable MATLAB algorithms for project and practical work, this book provides all the tools needed to fully understand the subject.

Table of Contents:

Cover image

Title page

Table of Contents

Copyright

Dedication

Preface

Supplements to the text

Acknowledgements

Chapter 1: Dynamics of point masses

Abstract

1.1: Introduction

1.2: Vectors

1.3: Kinematics

1.4: Mass, force, and Newton’s law of gravitation

1.5: Newton’s law of motion

1.6: Time derivatives of moving vectors

1.7: Relative motion

1.8: Numerical integration

Problems

Chapter 2: The two-body problem

Abstract

2.1: Introduction

2.2: Equations of motion in an inertial frame

2.3: Equations of relative motion

2.4: Angular momentum and the orbit formulas

2.5: The energy law

2.6: Circular orbits (e=0)

2.7: Elliptical orbits (0<e<1)

2.8: Parabolic trajectories (e=1)

2.9: Hyperbolic trajectories (e>1)

2.10: Perifocal frame

2.11: The Lagrange coefficients

2.12: Circular restricted three-body problem

Problems

Chapter 3: Orbital position as a function of time

Abstract

3.1: Introduction

3.2: Time since periapsis

3.3: Circular orbits (e=0)

3.4: Elliptical orbits (e<1)

3.5: Parabolic trajectories (e=1)

3.6: Hyperbolic trajectories (e>1)

3.7: Universal variables

Problems

Chapter 4: Orbits in three dimensions

Abstract

4.1: Introduction

4.2: Geocentric right ascension-declination frame

4.3: State vector and the geocentric equatorial frame

4.4: Orbital elements and the state vector

4.5: Coordinate transformation

4.6: Transformation between geocentric equatorial and perifocal frames

4.7: Effects of the earth’s oblateness

Problems

Chapter 5: Preliminary orbit determination

Abstract

5.1: Introduction

5.2: Gibbs method of orbit determination from three position vectors

5.3: Lambert’s problem

5.4: Sidereal time

5.5: Topocentric coordinate system

5.6: Topocentric equatorial coordinate system

5.7: Topocentric horizon coordinate system

5.8: Orbit determination from angle and range measurements

5.9: Angles-only preliminary orbit determination

5.10: Gauss method of preliminary orbit determination

Problems

Chapter 6: Orbital maneuvers

Abstract

6.1: Introduction

6.2: Impulsive maneuvers

6.3: Hohmann transfer

6.4: Bielliptic Hohmann transfer

6.5: Phasing maneuvers

6.6: Non-Hohmann transfers with a common apse line

6.7: Apse line rotation

6.8: Chase maneuvers

6.9: Plane change maneuvers

6.10: Nonimpulsive orbital maneuvers

Problems

Chapter 7: Relative motion and rendezvous

Abstract

7.1: Introduction

7.2: Relative motion in orbit

7.3: Linearization of the equations of relative motion in orbit

7.4: Clohessy-Wiltshire equations

7.5: Two-impulse rendezvous maneuvers

7.6: Relative motion in close-proximity circular orbits

Problems

Chapter 8: Interplanetary trajectories

Abstract

8.1: Introduction

8.2: Interplanetary Hohmann transfers

8.3: Rendezvous opportunities

8.4: Sphere of influence

8.5: Method of patched conics

8.6: Planetary departure

8.7: Sensitivity analysis

8.8: Planetary rendezvous

8.9: Planetary flyby

8.10: Planetary ephemeris

8.11: Non-Hohmann interplanetary trajectories

Problems

Chapter 9: Lunar trajectories

Abstract

9.1: Introduction

9.2: Coplanar patched conic lunar trajectories

9.3: A simplified lunar ephemeris

9.4: Patched conic lunar trajectories in three dimensions

9.5: Lunar trajectories by numerical integration

Problems

Chapter 10: Introduction to orbital perturbations

Abstract

10.1: Introduction

10.2: Cowell’s method

10.3: Encke’s method

10.4: Atmospheric drag

10.5: Gravitational perturbations

10.6: Variation of parameters

10.7: Gauss’ variational equations

10.8: Method of averaging

10.9: Solar radiation pressure

10.10: Lunar gravity

10.11: Solar gravity

Problems

Chapter 11: Rigid body dynamics

Abstract

11.1: Introduction

11.2: Kinematics

11.3: Equations of translational motion

11.4: Equations of rotational motion

11.5: Moments of inertia

11.6: Euler equations

11.7: Kinetic energy

11.8: The spinning top

11.9: Euler angles

11.10: Yaw, pitch, and roll angles

11.11: Quaternions

Problems

Chapter 12: Spacecraft attitude dynamics

Abstract

12.1: Introduction

12.2: Torque-free motion

12.3: Stability of torque-free motion

12.4: Dual-spin spacecraft

12.5: Nutation damper

12.6: Coning maneuver

12.7: Attitude control thrusters

12.8: Yo-yo despin mechanism

12.9: Gyroscopic attitude control

12.10: Gravity gradient stabilization

Problems

Chapter 13: Rocket vehicle dynamics

Abstract

13.1: Introduction

13.2: Equations of motion

13.3: The thrust equation

13.4: Rocket performance

13.5: Restricted staging in field-free space

13.6: Optimal staging

Problems

Appendix A: Physical data

Appendix B: A road map

Appendix C: Numerical integration of the n-body equations of motion

Appendix D: MATLAB scripts

Appendix outline

Chapter 1: Dynamics of Point Masses

Chapter 2: The Two-body Problem

Chapter 3: Orbital Position as a Function of Time

Chapter 4: Orbits in Three Dimensions

Chapter 5: Preliminary Orbit Determination

Chapter 6: Orbital Maneuvers

Chapter 7: Relative Motion and Rendezvous

Chapter 8: Interplanetary Trajectories

Chapter 9: Lunar Trajectories

Chapter 10: Introduction to Orbital Perturbations

Chapter 11: Rigid Body Dynamics

Chapter 12: Spacecraft Attitude Dynamics

Chapter 13: Rocket Vehicle Dynamics

Appendix E: Gravitational potential of a sphere

Appendix F: Computing the difference between nearly equal numbers

Appendix G: Direction cosine matrix in terms of the unit quaternion

Index

Professor Howard Curtis is former professor and department chair of Aerospace Engineering at Embry-Riddle Aeronautical University. He is a licensed professional engineer and is the author of two textbooks (Orbital Mechanics 3e, Elsevier 2013, and Fundamentals of Aircraft Structural Analysis, McGraw Hill 1997). His research specialties include continuum mechanics, structures, dynamics, and orbital mechanics.

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