Book description
Space agencies are now realizing that much of what has previously been achieved using hugely complex and costly single platform projects—large unmanned and manned satellites (including the present International Space Station)—can be replaced by a number of smaller satellites networked together. The key challenge of this approach, namely ensuring the proper formation flying of multiple craft, is the topic of this second volume in Elsevier’s Astrodynamics Series, Spacecraft Formation Flying: Dynamics, control and navigation.
In this unique text, authors Alfriend et al. provide a coherent discussion of spacecraft relative motion, both in the unperturbed and perturbed settings, explain the main control approaches for regulating relative satellite dynamics, using both impulsive and continuous maneuvers, and present the main constituents required for relative navigation. The early chapters provide a foundation upon which later discussions are built, making this a complete, standalone offering.
Intended for graduate students, professors and academic researchers in the fields of aerospace and mechanical engineering, mathematics, astronomy and astrophysics, Spacecraft Formation Flying is a technical yet accessible, forwardthinking guide to this critical area of astrodynamics.
 The first book dedicated to spacecraft formation flying, written by leading researchers and professors in the field
 Develops the theory from an astrodynamical viewpoint, emphasizing modeling, control and navigation of formation flying satellites on Earth orbits
 Examples used to illustrate the main developments, with a sample simulation of a formation flying mission included to illustrate high fidelity modeling, control and relative navigation
Table of contents
 Cover image
 Title page
 Table of Contents
 Copyright page
 Dedication
 Foreword
 Preface
 Chapter 1: Introduction
 Chapter 2: Fundamental Astrodynamics
 Chapter 3: The Basics of Analytical Mechanics, Optimization, Control and Estimation

Chapter 4: Nonlinear Models of Relative Dynamics
 Publisher Summary
 4.1 Equations of Relative Motion in the Unperturbed Case
 4.2 The Energy Matching Condition
 4.3 Impulsive Formationkeeping
 4.4 Another Outlook on Optimal Formationkeeping
 4.5 Circular Chief Orbit
 4.6 Lagrangian and Hamiltonian Derivations
 4.7 Equations of Relative Motion under the Influence of
 SUMMARY

Chapter 5: Linear Equations of Relative Motion
 Publisher Summary
 5.1 The Clohessy–Wiltshire Equations
 5.2 Twoimpulse Linear Rendezvous
 5.3 Lagrangian and Hamiltonian Derivations of the CW Equations
 5.4 Accommodating secondorder nonlinearities
 5.5 Curvilinear vs. Cartesian Relative Coordinates
 5.6 Elliptic Reference Orbits
 5.7 Periodic Solutions to the TH Equations
 SUMMARY

Chapter 6: Modeling Relative Motion Using Orbital Elements
 Publisher Summary
 6.1 General Solution to the Nonlinear Relative Motion Equations
 6.2 Bounds on Maximal and Minimal Distances
 6.3 Relative Motion Approximations with a CircularEquatorial Reference Orbit
 6.4 Establishing the PCO Initial Conditions
 6.5 Hybrid Differential Equations with Nonlinearity Compensation for Unperturbed Circular Orbits
 SUMMARY

Chapter 7: Modeling Perturbed Relative Motion Using Orbital Elements
 Publisher Summary
 7.1 The UnitSphere Approach
 7.2 Relative Motion Description using Quaternions
 7.3 The Gim–Alfriend Geometric Method
 7.4 Averaged Relative Motion
 7.5 Linearized Differential Equations for Circular Orbits
 7.6 Differential Equations from the Gim–Alfriend STM
 7.7 A SecondOrder State Propagation Model
 SUMMARY

Chapter 8: Perturbation Mitigation
 Publisher Summary
 8.1 Dynamic Constraints for Mitigation
 8.2 A Nonlinear Theory based on Orbital Elements
 8.3 Dynamic Model Error Effect Comparison
 8.4 Perturbed Fundamental Frequencies for Formations in Nearcircular Orbits
 8.5 Selection of the PCO Initial Conditions for NearCircular Orbits
 8.6 Matching the Inplane and Crosstrack Fundamental Frequencies
 8.7 PCO Formation Maintenance based on the Modified CW Equations
 8.8 Fuel Minimization and Balancing
 SUMMARY
 Chapter 9: RotationTranslation Coupling
 Chapter 10: Formation Control
 Chapter 11: Implementation of Δυ Commands
 Chapter 12: Relative Measurements and Navigation
 Chapter 13: HighFidelity Formation Flying Simulation
 Chapter 14: Summary and Future Prospects
 Appendices
 References
 Subject Index
Product information
 Title: Spacecraft Formation Flying
 Author(s):
 Release date: November 2009
 Publisher(s): ButterworthHeinemann
 ISBN: 9780080559650
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