Spacecraft Formation Flying: Dynamics, Control and Navigation

Introduction Fundamental Astrodynamics The Basics of Analytical Mechanics, Optimization, Control and Estimation Nonlinear Models of Relative Dynamics Linear Equations of Relative Motion Modeling Relative Motion Using Orbital Elements Modeling Perturbed Relative Motion Using Orbital Elements Perturbation Mitigation Rotation Translation Coupling Formation Control Implementation of Commands Relative Measurements and Navigation High-Fidelity Formation Flying Simulation Summary and Future Prospects Appendix - A: The Transformation Matrix &SIGMA ;( t) Appendix - B: The Transformation Matrix &SIGMA ;( t) -1 Appendix - C: The Matrix B (t) Appendix - D: The State Transition Matrix for Relative Mean Elements Appendix - E: Transformation from Mean to Osculating Elements Appendix - F: Jacobian for Mean to Osculating Elements Appendix - G: Small Eccentricity Theory Appendix - H: Yan Alfriend Nonlinear Theory Coefficients