Preface Acknowledgments Chapter 1 Dynamics of point masses 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 1.8.1 Runge-Kutta methods 1.8.2 Heun’s Predictor-Corrector method 1.8.3 Runge-Kutta with variable step size Problems List of Key Terms Chapter 2 The two-body problem 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 Restricted three-body problem 2.12.1 Lagrange points 2.12.2 Jacobi constant Problems List of Key Terms Chapter 3 Orbital position as a function of time 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 List of Key Terms Chapter 4 Orbits in three dimensions 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 4.8 Ground tracks Problems List of Key Terms Chapter 5 Preliminary orbit determination 5.1 Introduction 5.2 Gibbs method of orbit determination from three position vectors 5
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
Undergraduate students in aerospace, astronautical, mechanical engineering and engineering physics. Related professional aerospace and space engineering fields.
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- © Butterworth-Heinemann 2010
- 26th October 2009
- eBook ISBN:
- Hardcover ISBN:
Professor Emeritus, Aerospace Engineering, Embry-Riddle Aeronautical University, Florida, USA