Spacecraft Dynamics and Control An Introduction

ISBN-10: 1118342364
ISBN-13: 9781118342367
Edition: 2013
List price: $158.95 Buy it from $70.19 Rent it from $51.36
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Description: Provides the basics of spacecraft orbital dynamics plus attitude dynamics and control, using vectrix notation Spacecraft Dynamics and Control: An Introduction presents the fundamentals of classical control in the context of spacecraft attitude  More...

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Book details

List price: $158.95
Copyright year: 2013
Publisher: John Wiley & Sons, Limited
Publication date: 1/4/2013
Binding: Hardcover
Pages: 588
Size: 7.00" wide x 9.75" long x 1.25" tall
Weight: 2.530
Language: English

Provides the basics of spacecraft orbital dynamics plus attitude dynamics and control, using vectrix notation Spacecraft Dynamics and Control: An Introduction presents the fundamentals of classical control in the context of spacecraft attitude control. This approach is particularly beneficial for the training of students in both of the subjects of classical control as well as its application to spacecraft attitude control. By using a physical system (a spacecraft) that the reader can visualize (rather than arbitrary transfer functions), it is easier to grasp the motivation for why topics in control theory are important, as well as the theory behind them.  The entire treatment of both orbital and attitude dynamics makes use of vectrix notation, which is a tool that allows the user to write down any vector equation of motion without consideration of a reference frame. This is particularly suited to the treatment of multiple reference frames. Vectrix notation also makes a very clear distinction between a physical vector and its coordinate representation in a reference frame. This is very important in spacecraft dynamics and control problems, where often multiple coordinate representations are used (in different reference frames) for the same physical vector. Provides an accessible, practical aid for teaching and self–study with a layout enabling a fundamental understanding of the subject Fills a gap in the existing literature by providing an analytical toolbox offering the reader a lasting, rigorous methodology for approaching vector mechanics, a key element vital to new graduates and practicing engineers alike Delivers an outstanding resource for aerospace engineering students, and all those involved in the technical aspects of design and engineering in the space sector Contains numerous illustrations to accompany the written text. Problems are included to apply and extend the material in each chapter Essential reading for graduate level aerospace engineering students, aerospace professionals, researchers and engineers.

Dedication
Preface
Kinematics
Physical vectors
Scalar Product
Vector Cross Product
Other Useful Vector Identities
Reference Frames and Physical Vector Coordinates
Vector Addition and Scalar Multiplication
Scalar Product
Vector Cross Product
Column Matrix Identities
Rotation Matrices
Principal Rotations
General Rotations
Euler Angles
Quaternions
Derivatives of Vectors
Angular Velocity
Angular Velocity in Terms of Euler Angle Rates
Angular Velocity in Terms of Quaternion Rates
Velocity and Acceleration
More Rigorous Definition of Angular Velocity 35 References 37 2 Rigid Body Dynamics
Dynamics of a Single Particle
Dynamics of a System of Particles
Rigid Body Dynamics
Translational Dynamics
Rotational Dynamics
The Inertia Matrix
A Parallel Axis Theorem
A Rotational Transformation Theorem
Principal Axes
Kinetic Energy of a Rigid Body 51 References 53 3 The Keplerian Two-Body Problem
Equations of motion
Constants of the motion
Orbital Angular Momentum
Orbital Energy
The Eccentricity Vector
Shape of a Keplerian orbit
Perifocal Coordinate System
Kepler's Laws
Time of Flight
Circular Orbits
Elliptical Orbits
Parabolic Orbits
Hyperbolic Orbits
Orbital Elements
Heliocentric-Ecliptic Coordinate System
Geocentric-Equatorial Coordinate System
Orbital Elements given Position and Velocity
Position and Velocity given Orbital Elements 80 References 84 4 Preliminary Orbit Determination
Orbit Determination from Three Position Vectors
Orbit Determination from Three Line-of-Sight Vectors
Orbit Determination from Two Position Vectors and Time (Lambert's Problem)
The Lagrangian Coefficients 94 References 98 5 Orbital Maneuvers
Simple ImpulsiveManeuvers
Coplanar Maneuvers
Hohmann Transfers
Bi-Elliptic Transfers
Plane Change Maneuvers
Combined Maneuvers
Rendezvous 110 References 111 6 Interplanetary Trajectories
Sphere of Influence
Interplanetary Hohmann Transfers
Patched Conics
Departure Hyperbola
Arrival Hyperbola
Planetary Flyby
Planetary Capture 127 References 129 7 Orbital Perturbations
Special Perturbations
Cowell's Method
Encke's Method
General Perturbations
Gravitational Perturbations due to a Non-Spherical Primary Body
The Perturbative Force Per Unit Mass Due to J2
Effect of J2 on the orbital elements
Special Types of Orbits
Sun-synchronous orbits
Molniya Orbits
Small Impulse Form of the Gauss Variational Equations
Derivation of the Remaining Gauss Variational Equations 149 References 156 8 Low Thrust Trajectory Analysis and Design
Problem Formulation
Coplanar Circle to Circle Transfers
Plane Change Maneuver 160 References 161 9 Spacecraft Formation Flying
Mathematical Description
Relative Motion Solutions
Out-of-PlaneMotion
In-Plane Motion
Alternative Description for In-Plane Relative Motion
Further Examination of In-Plane Motion
Out-of-PlaneMotion - Revisited
Special Types of Relative Orbits
Along-Track Orbits
Projected Elliptical Orbits
Projected Circular Orbits 178 References 178 10 The Restricted Three-Body Problem
Formulation
Equations of Motion
The Lagrangian Points
Case (i)
Case (ii)
Stability of the Lagrangian Points
Comments
Jacobi's Integral
Hill's Curves
Comments on Figure
187 References 187 11 Introduction to Spacecraft Attitude Stabilization
Introduction to Control Systems
Overview of Attitude Representation and Kinematics
Overview of Spacecraft Attitude Dynamics 193 12 Disturbance Torques on a Spacecraft
Magnetic Torque
Solar Radiation Pressure Torque
Aerodynamic Torque
Gravity-Gradient Torque 199 References 202 13 Torque-Free Attitude Motion
Solution for an Axisymmetric Body
Physical Interpretation of the Motion 209 References 212 14 Spin Stabilization
Stability
Spin Stability of Torque-FreeMotion
Effect of Internal Energy Dissipation 217 References 218 15 Dual-Spin Stabilization
Equations of Motion
Stability of Dual-Spin Torque-FreeMotion
Effect of Internal Energy Dissipation 222 References 228 16 Gravity-Gradient Stabilization
Equations of Motion
Stability Analysis
Pitch Motion
Roll-Yaw Motion
Combined Pitch and Roll/Yaw 237 References 238 17 Active Spacecraft Attitude Control
Attitude Control for a Nominally Inertially Fixed Spacecraft
Transfer Function Representation of a System
System Response to an Impulsive Input
Block Diagrams
The Feedback Control Problem
Typical Control Laws
Proportional "P" Control
Proportional Derivative "PD" Control
Proportional Integral Derivative "PID" Control
Time-Domain Specifications
Transient Specifications
Factors that Modify the Transient Behavior
Effect of Zeros
Effect of Additional Poles
Steady-State Specifications and System Type
Effect of Disturbances
Actuator Limitations
References
Routh's Stability Criterion
Proportional-Derivative Control with Actuator Dynamics
Active Dual-Spin Stabilization
References
The Root Locus
Rules for Constructing the Root Locus
PD Attitude Control with Actuator Dynamics - Revisited
Derivation of the Rules for Constructing the Root Locus
References
Control Design by the Root Locus Method
Typical Types of Controllers
PID Design for Spacecraft Attitude Control
References
Frequency Response
Frequency Response and Bode Plots
Plotting the Frequency Response as a Function of � (Bode Plots)
Low-Pass Filter Design
References
Relative Stability
Polar Plots
Nyquist Stability Criterion
Argument Principle
Stability Analysis of the Closed-Loop System
Stability Margins
Stability Margin Definitions
References
Control Design in the Frequency Domain
Feedback Control Problem - Revisited
Closed-Loop Tracking Error
Closed-Loop Control Effort
Modified Control Implementation
Control Design
Frequency Responses for Common Controllers
Example - PID Design for Spacecraft Attitude Control
References
Nonlinear Spacecraft Attitude Control
State-Space Representation of the Spacecraft Attitude Equations
Stability Definitions
Equilibrium Points
Stability of Equilibria
Stability Analysis
Detumbling of a Rigid Spacecraft
Lyapunov Stability Theorems
LaSalle's Theorem
Spacecraft Attitude Control with Quaternion and Angular Rate Feedback
Controller Gain Selection
References
Spacecraft Navigation
Review of Probability Theory
Continuous Random Variables and Probability Density Functions
Mean and Covariance
Gaussian Probability Density Functions
Discrete-TimeWhite Noise
Simulating Noise
Batch Approaches for Spacecraft Attitude Estimation
Wahba's Problem
Davenport's q-Method
The QUEST Algorithm
The TRIAD Algorithm
Example
The Kalman Filter
The Discrete-Time Kalman Filter
The Norm-Constrained Kalman Filter
Spacecraft Attitude Estimation Using the Norm-Constrained Extended Kalman Filter
References
Practical Spacecraft Attitude Control Design Issues
Attitude Sensors
Sun-Sensors
Three-AxisMagnetometers
Earth Sensors
Star Trackers
Rate Sensors
Attitude Actuators
Thrusters
Magnetic Torquers
ReactionWheels
MomentumWheels
Control Moment Gyroscopes
Control Law Implementation
Time-Domain Representation of a Transfer Function
Control Law Digitization
Closed-Loop Stability Analysis
Sampling Considerations
Unmodeled dynamics
Effects of Spacecraft Flexibility
Effects of Propellant Sloshing
References
Index

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