Foreword |
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ix | |
Introduction |
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xi | |
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1 | (22) |
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1 | (2) |
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3 | (1) |
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4 | (3) |
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7 | (5) |
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12 | (1) |
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12 | (1) |
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13 | (1) |
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14 | (1) |
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14 | (1) |
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15 | (1) |
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15 | (1) |
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15 | (1) |
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16 | (1) |
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16 | (1) |
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Lagrangian VOP---conservative forces |
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17 | (1) |
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Gaussian VOP---nonconservative forces |
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18 | (1) |
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19 | (1) |
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19 | (1) |
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Comparative force model effects |
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20 | (1) |
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21 | (2) |
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21 | (2) |
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Gauge Freedom in Astrodynamics |
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23 | (30) |
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23 | (11) |
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Gauge freedom in the theory of orbits |
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34 | (5) |
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A practical example on gauges: a satellite orbiting a precessing oblate planet |
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39 | (9) |
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Conclusions: how we benefit from the gauge freedom |
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48 | (5) |
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Appendix 1. Mathematical formalities: Orbital dynamics in the normal form of Cauchy |
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49 | (1) |
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Appendix 2. Precession of the equator of date relative to the equator of epoch |
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50 | (1) |
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51 | (2) |
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Solving Two-Point Boundary Value Problems Using Generating Functions: Theory and Applications to Astrodynamics |
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53 | (54) |
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53 | (3) |
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Solving two-point boundary value problems |
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56 | (18) |
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Hamilton's principal function |
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74 | (3) |
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Local solutions of the Hamilton-Jacobi equation |
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77 | (13) |
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90 | (8) |
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98 | (9) |
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Appendix A. The Hamilton-Jacobi equation at higher orders |
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99 | (3) |
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Appendix B. The Hill three-body problem |
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102 | (2) |
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104 | (3) |
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Low-Energy Transfers and Applications |
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107 | (20) |
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107 | (1) |
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Capture problem, models, and transfer types |
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108 | (4) |
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Ballistic capture regions and transfers |
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112 | (8) |
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120 | (3) |
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123 | (4) |
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125 | (2) |
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Set Oriented Numerical Methods in Space Mission Design |
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127 | (28) |
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127 | (1) |
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Dynamical systems and mission design |
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127 | (3) |
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130 | (5) |
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Computing invariant manifolds |
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135 | (4) |
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Detecting connecting orbits |
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139 | (6) |
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Extension to controlled systems |
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145 | (6) |
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151 | (4) |
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151 | (4) |
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Space Trajectory Optimization and L1-Optimal Control Problems |
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155 | (34) |
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155 | (3) |
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Geometry and the mass flow equations |
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158 | (2) |
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Cost functions and Lebesgue norms |
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160 | (4) |
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Double integrator example |
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164 | (6) |
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Issues in solving nonlinear L1 -optimal control problems |
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170 | (5) |
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Solving nonlinear L1-optimal control problems |
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175 | (4) |
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L1-Formulation of the minimum-fuel orbit transfer problem |
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179 | (2) |
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A simple extension to distributed space systems |
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181 | (4) |
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185 | (4) |
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186 | (3) |
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Orbital Mechanics of Propellantless Propulsion Systems |
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189 | (48) |
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189 | (1) |
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190 | (5) |
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Solar sail orbital mechanics |
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195 | (3) |
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Artificial three-body equilibria for solar sails |
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198 | (5) |
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203 | (5) |
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208 | (9) |
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217 | (15) |
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232 | (5) |
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233 | (4) |
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Cooperative Spacecraft Formation Flying: Model Predictive Control with Open- and Closed-Loop Robustness |
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237 | (42) |
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237 | (2) |
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Dynamics of formation flight |
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239 | (4) |
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Formation flight control and the model predictive control formulation |
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243 | (6) |
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Distributed coordination through virtual center |
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249 | (11) |
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Open loop robust control and replan frequency |
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260 | (5) |
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Using closed-loop robust MPC |
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265 | (8) |
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273 | (1) |
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274 | (5) |
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274 | (5) |
Index |
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279 | |