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Spacecraft Formation Flying Dynamics, Control and Navigation

ISBN-10: 0750685336

ISBN-13: 9780750685337

Edition: 2010

Authors: Pini Gurfil, Kyle T. Alfriend, Louis Breger, Jonathan How, Srinivas Rao Vadali

List price: $141.00
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Spacecraft formation flying (SFF) is of huge importance to the aerospace and space community. Not the stuff of science-fiction, SFF involves flying multiple small satellites together, to deliver benefits which far outweigh a single larger craft or space station. The first autonomous formation flying earth science mission was in 196 and NASA now has 35 SFF mission sets. By networking several smaller and cheaper craft, scientists can make simultaneous measurements that enable higher resolution astronomical imagery, provide robust and fault-tolerant spacecraft system architectures, and enable complex earth science and space science networks dispersed over clusters of satellites in space. This is the first book to introduce and explore SFF. It is a topic of enormous importance to aerospace engineers, astrodynamicists, satellite engineers, astronomers, physicists, and applied mathematicions. This book provides a complete introduction to the subject and is supported by graduate level student exercises plus Matlab and Maple code sets for running SFF simulations. * The first book dedicated to spacecraft formation flying which is the enabling element of distributed spacecraft systems * Written by the leading researchers and teachers in the field; perfect for research and graduate students * Accompanied by Matlab and Maple code sets and exercises for graduate level students of aerospace science, astrodynamics and orbital mechanics
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Book details

List price: $141.00
Copyright year: 2010
Publisher: Elsevier Science & Technology Books
Publication date: 11/13/2009
Binding: Hardcover
Pages: 402
Size: 6.25" wide x 9.50" long x 1.00" tall
Weight: 1.694
Language: English

Louis Breger is professor emeritus of psychoanalytic studies at the California Institute of Technology in Pasadena. He has been a psychotherapist and psychoanalyst, and he is the founding president of the Institute of Contemporary Psychoanalysis, Los Angeles. He has written a number scholarly articles and books--including the acclaimed biography, Freud: Darkness in the Midst of Vision , Dostoevsky: The Author as Psychoanalyst (Transaction, 2008) , and A Dream of Undying Fame.

What is Spacecraft Formation Flying?
Coordination Approaches
Fuel-use Drivers
Control of Spacecraft Formations
Control Approaches
Space Navigation and the Global Positioning System
Formation Flying Missions
Fundamental Astrodynamics
Coordinate Systems
The Keplerian Two-body Problem
Solution of the Inertial Equations of Motion
Nonsingular Orbital Elements
Non-Keplerian Motion and Orbital Perturbations
Averaging Theory
The Basics of Analytical Mechanics, Optimization, Control and Estimation
Lagrangian and Hamiltonian Mechanics
The Delaunay Elements
Canonical Transformations
Brouwer Theory
Constrained Static Optimization
Control Lyapunov Functions
Linear Quadratic Regulation
Kalman Filtering
The Unscented Kalman Filter
Nonlinear Models of Relative Dynamics
Equations of Relative Motion in the Unperturbed Case
The Energy Matching Condition
Impulsive Formation-keeping
Another Outlook on Optimal Formation-keeping
Circular Chief Orbit
Lagrangian and Hamiltonian Derivations
Equations of Relative Motion under the Influence of J<sub>2</sub>
Linear Equations of Relative Motion
The Clohessy-Wiltshire Equations
Two-impulse Linear Rendezvous
Lagrangian and Hamiltonian Derivations of the CW Equations
Accommodating second-order nonlinearities
Curvilinear vs. Cartesian Relative Coordinates
Elliptic Reference Orbits
Periodic Solutions to the TH Equations
Modeling Relative Motion Using Orbital Elements
General Solution to the Nonlinear Relative Motion Equations
Bounds on Maximal and Minimal Distances
Relative Motion Approximations with a Circular-Equatorial Reference Orbit
Establishing the PCO Initial Conditions
Hybrid Differential Equations with Non-linearity Compensation for Unperturbed Circular Orbits
Modeling Perturbed Relative Motion Using Orbital Elements
The Unit-Sphere Approach
Relative Motion Description using Quaternions
The Gim-Alfriend Geometric Method
Averaged Relative Motion
Linearized J2-Dirferential Equations for Circular Orbits
Differential Equations from the Gim-Alfriend STM
A Second-Order State Propagation Model
Perturbation Mitigation
Dynamic Constraints for J<sub>2</sub> Mitigation
A Nonlinear Theory based on Orbital Elements
Dynamic Model Error Effect Comparison
Perturbed Fundamental Frequencies for Formations in Near-circular Orbits
Selection of the PCO Initial Conditions for Near-Circular Orbits
Matching the In-plane and Cross-track Fundamental Frequencies
PCO Formation Maintenance based on the Modified CW Equations
Fuel Minimization and Balancing
Rotation-Translation Coupling
Relative Dynamics
Kinematically-Coupled Relative Spacecraft Motion Model
Formation Control
Continuous Control
Discrete-time LQR Control
Impulsive Control based on Gauss' Variational Equations
Two-impulse Formation Reconfiguration for Circular Orbits
Two-impulse-per-orbit Formation Maintenance
Implementation of �� Commands
Plan Implementation
Impact on Autonomous Rendezvous and Docking
Relative Measurements and Navigation
Dynamical Modeling
Measurement Update: Carrier-Phase Differential GPS
Comparison of EKF and UKF for Relative Navigation
High-Fidelity Formation Flying Simulation
Simulation Controller Configuration
Simulation Results
Summary and Future Prospects
Risk Reduction
Fuel Requirements
Mission Operations
The Transformation Matrix &SIGMA;(t)
The Transformation Matrix &SIGMA;(t) -1
The Matrix B(t)
The State Transition Matrix for Relative Mean Elements
Transformation from Mean to Osculating Elements
Jacobian for Mean to Osculating Elements
Small Eccentricity Theory
Yan-Alfriend Nonlinear Theory Coefficients