Analytical Mechanics of Space Systems

ISBN-10: 1600867219

ISBN-13: 9781600867217

Edition: 2nd 2009

List price: $104.95
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Description:

This book provides a comprehensive treatment of dynamics of space systems, starting with the fundamentals and covering topics from basic kinematics and dynamics to more advanced celestial mechanics. All material is presented in a consistent manner, and the reader is guided through the various derivations and proofs in a tutorial way. "Cookbook" formulas are avoided; instead, the reader is led to understand the principles underlying the equations at issue, and shown how to apply them to various dynamical systems. The book is divided into two parts. Part I covers analytical treatment of topics such as basic dynamic principles up to advanced energy concepts. Special attention is paid to the use of rotating reference frames that often occur in aerospace systems. Part II covers basic celestial mechanics, treating the two-body problem, restricted three-body problem, gravity field modeling, perturbation methods, spacecraft formation flying, and orbit transfers. MATLAB, Mat
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Book details

List price: $104.95
Edition: 2nd
Copyright year: 2009
Publisher: American Institute of Aeronautics & Astronautics
Binding: Hardcover
Size: 6.50" wide x 9.50" long x 1.75" tall
Weight: 3.146
Language: English

Preface to the Second Edition
Preface to the First Edition
Basic Mechanics
Particle Kinematics
Introduction
Particle Position Description
Vector Differentiation
References
Problems
Newtonian Mechanics
Introduction
Newton's Laws
Single Particle Dynamics
Dynamics of a System of Particles
Dynamics of a Continuous System
Rocket Problem
References
Problems
Rigid Body Kinematics
Introduction
Direction Cosine Matrix
Euler Angles
Principal Rotation Vector
Euler Parameters
Classical Rodrigues Parameters
Modified Rodrigues Parameters
Other Attitude Parameters
Homogeneous Transformations
References
Problems
Kulerian Mechanics
Introduction
Rigid Body Dynamics
Torque-Free Rigid Body Rotation
Dual-Spin Spacecraft
Momentum Exchange Devices
Gravity Gradient Satellite
References
Problems
Generalized Methods of Analytical Dynamics
Introduction
Generalized Coordinates
D'Alembert's Principle
Lagrangian Dynamics
Quasi Coordinates
Cyclic Coordinates
Final Observations
References
Problems
Variational Methods in Analytical Dynamics
Introduction
Fundamentals of Variational Calculus
Hamilton's Variational Principles
Hamilton's Principal Function
Some Classical Applications of Hamilton's Principle to Distributed Parameter Systems
Explicit Generalizations of Lagrange's Equations for Hybrid Coordinate Systems
References
Problems
Hamilton's Generalized Formulations of Analytical Dynamics
Introduction
Hamittonian Function
Relationship of Hamiltonian Function to Work/Energy Integral
Hamilton's Canonical Equations
Poisson's Brackets
Canonical Coordinate Transformations
Perfect Differential Criterion for Canonical Transformations
Transformation Jacobian Perspective on Canonical Transformations
References
Problems
Nonlinear Spacecraft Stability and Control
Introduction
Nonlinear Stability Analysis
Generating Lyapunov Functions
Nonlinear Feedback Control Laws
Lyapunov Optimal Control Laws
Linear Closed-Loop Dynamics
Reaction Wheel Control Devices
Variable Speed Control Moment Gyroscopes
References
Problems
Celestial Mechanics
Classical Two-Body Problem
Introduction
Geometry of Conic Sections
Coordinate Systems
Relative Two-Body Equations of Motion
Fundamental Integrals
Classical Solutions
References
Problems
Restricted Three-Body Problem
Introduction
Lagrange's Three-Body Solution
Circular Restricted Three-Body Problem
Periodic Stationary Orbits
Disturbing Function
References
Problems
Gravitational Potential Field Models
Introduction
Gravitational Potential of Finite Bodies
MacCullagh's Approximation
Spherical Harmonic Gravity Potential
Multibody Gravitational Acceleration
Spheres of Gravitational Influence
References
Problems
Perturbation Methods
Introduction
Encke's Method
Variation of Parameters
State Transition and Sensitivity Matrix
References
Problems
Transfer Orbits
Introduction
Minimum Energy Orbit
Hohmann Transfer Orbit
Lambert's Problem
Rotating the Orbit Plane
Patched-Conic Orbit Solution
References
Problems
Spacecraft Formation Flying
Introduction
General Relative Orbit Description
Cartesian Coordinate Description
Orbit Element Difference Description
Relative Motion State Transition Matrix
Linearized Relative Orbit Motion
J<sub>2</sub>-Invariant Relative Orbits
Relative Orbit Control Methods
References
Problems
Transport Theorem Derivation Using Linear Algebra
Various Euler Angle Transformations
MRP Identity Proof
Conic Section Transformations
Numerical Subroutines Library
First-Order Mapping Between Mean and Osculating Orbit Elements
Direct Linear Mapping Between Cartesian Hill Frame Coordinates and Orbit Element Differences
Hamel Coefficients for the Rotational Morion of a Rigid Body
Index
Supporting Materials
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