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Orbital Mechanics for Engineering Students
2nd Edition - October 26, 2009
Author: Howard D. Curtis
Language: English
Paperback ISBN:9781493301140
9 7 8 - 1 - 4 9 3 3 - 0 1 1 4 - 0
eBook ISBN:9780080887845
9 7 8 - 0 - 0 8 - 0 8 8 7 8 4 - 5
Orbital Mechanics for Engineering Students, Second Edition, provides an introduction to the basic concepts of space mechanics. These include vector kinematics in three dimension…Read more
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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.
PrefaceAcknowledgmentsChapter 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 TermsChapter 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 TermsChapter 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 TermsChapter 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 TermsChapter 5 Preliminary orbit determination 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 List of Key TermsChapter 6 Orbital maneuvers 6.1 Introduction 6.2 Impulsive maneuvers 6.3 Hohmann transfer 6.4 Bi-elliptic 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 List of Key TermsChapter 7 Relative motion and rendezvous 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 List of Key TermsChapter 8 Interplanetary trajectories 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 List of Key TermsChapter 9 Rigid-body dynamics 9.1 Introduction 9.2 Kinematics 9.3 Equations of translational motion 9.4 Equations of rotational motion 9.5 Moments of inertia 9.5.1 Parallel axis theorem 9.6 Euler’s equations 9.7 Kinetic energy 9.8 The spinning top 9.9 Euler angles 9.10 Yaw, pitch and roll angles 9.11 Quaternions Problems List of Key TermsChapter 10 Satellite attitude dynamics 10.1 Introduction 10.2 Torque-free motion 10.3 Stability of torque-free motion 10.4 Dual-spin spacecraft 10.5 Nutation damper 10.6 Coning maneuver 10.7 Attitude control thrusters 10.8 Yo-yo despin mechanism 10.8.1 Radial release 10.9 Gyroscopic attitude control 10.10 Gravity gradient stabilization Problems List of Key TermsChapter 11 Rocket vehicle dynamics 11.1 Introduction 11.2 Equations of motion 11.3 The thrust equation 11.4 Rocket performance 11.5 Restricted staging in field-free space 11.6 Optimal staging 11.6.1 Lagrange multiplier Problems List of Key TermsAppendix A Physical dataAppendix B A road mapAppendix C Numerical intergration of the n-body equations of motionAppendix D MATLAB® algorithmsAppendix E Gravitational potential energy of a sphereReferencesIndex
No. of pages: 744
Language: English
Edition: 2
Published: October 26, 2009
Imprint: Butterworth-Heinemann
Paperback ISBN: 9781493301140
eBook ISBN: 9780080887845
HC
Howard D. Curtis
Professor 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.
Affiliations and expertise
Professor Emeritus, Aerospace Engineering, Embry-Riddle Aeronautical University, Florida, USA
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