Spacecraft Formation Flying Dynamics, Control and Navigation

Name: Spacecraft Formation Flying Dynamics, Control and Navigation
Price: 95.77 USD
Availability: InStock
ISBN: 9780750685337

ISBN-10: 0750685336

ISBN-13: 9780750685337

Edition: 2nd 2010

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

List price: $141.00

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Description:

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…

Book details

List price: $141.00
Edition: 2nd
Copyright year: 2010
Publisher: Elsevier Science & Technology
Publication date: 11/13/2009
Binding: Hardcover
Pages: 402
Size: 6.50" wide x 9.45" 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.



Foreword


Preface



Introduction



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 ï¿½ï¿½ 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


Appendices



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


References


Index