# Orbital Mechanics for Engineering Students

Elsevier, Oct 26, 2009 - Technology & Engineering - 744 pages

Orbital Mechanics for Engineering Students, Second Edition, provides an introduction to the basic concepts of space mechanics. These include vector kinematics in three dimensions; Newton’s laws of motion and gravitation; relative motion; the vector-based solution of the classical two-body problem; derivation of Kepler’s equations; orbits in three dimensions; preliminary orbit determination; and orbital maneuvers. The book also covers relative motion and the two-impulse rendezvous problem; interplanetary mission design using patched conics; rigid-body dynamics used to characterize the attitude of a space vehicle; satellite attitude dynamics; and the characteristics and design of multi-stage launch vehicles.

Each chapter begins with an outline of key concepts and concludes with problems that are based on the material covered. This text is written for undergraduates who are studying orbital mechanics for the first time and have completed courses in physics, dynamics, and mathematics, including differential equations and applied linear algebra. Graduate students, researchers, and experienced practitioners will also find useful review materials in the book.

• NEW: Reorganized and improved discusions of coordinate systems, new discussion on perturbations and quarternions
• NEW: Increased coverage of attitude dynamics, including new Matlab algorithms and examples in chapter 10
• New examples and homework problems

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### Contents

 CHAPTER 1 Dynamics of point masses 1 CHAPTER 2 The twobody problem 61 CHAPTER 3 Orbital position as a function of time 155 CHAPTER 4 Orbits in three dimensions 199 CHAPTER 5 Preliminary orbit determination 255 CHAPTER 6 Orbital maneuvers 319 CHAPTER 7 Relative motion and rendezvous 391 CHAPTER 8 Interplanetary trajectories 429
 CHAPTER 11 Rocket vehicle dynamics 655 Appendix A Physical data 689 Appendix B A road map 691 Appendix C Numerical intergration of the nbody equations of motion 693 Appendix D MATLAB algorithms 701 Appendix E Gravitational potential energy of a sphere 703 References 707 Index 709

 CHAPTER 9 Rigidbody dynamics 485 CHAPTER 10 Satellite attitude dynamics 573