Optimal Space Trajectories

ForewordPrefaceAcknowledgementsRecommendations for Selective ReadingNomenclature0 Introduction 0.1 The problem of optimal space trajectories 0.2 Scheme of the study 0.3 Optimal transfer definition1 Modeling and Optimization of Propulsion Systems 1.1 Modeling of propulsion systems 1.2 Optimization of propulsion systems2 Parametric Optimization : The Hohmann Transfer 2.1 Parametric optimization 2.2 The Hohmann transfer 2.3 The Hoelker and Silber transfer 2.4 Limitations of parametric optimization3 Functional Optimization : The Contensou-Pontryagin Maximum Principle 3.1 Calculus of variations 3.2 The Contensou-Pontryagin Maximum Principle 3.3 Canonical transformations 3.4 Equations for the variations 3.5 Perturbing Hamiltonian 3.6 Average Hamiltonian 4 Optimal Transfers in a General Gravitational Field 4.1 Optimization of the thrust law 4.2 Integrals 4.3 End conditions 5 Optimal Transfers in a Uniform Gravitational Field 5.1 Optimal thrust law 5.2 Interception 5.3 Rendezvous 5.4 Optimal energy build-up6 Optimal Transfer in a Central Gravitational Field : General Considerations 6.1 The central-field assumption 6.2 Use of Cartesian coordinates 6.3 Use of orbital coordinates 7 Optimal Orbit Corrections : General Considerations 7.1 Linearization 7.2 Solution of the linearized problem 7.3 General results. Uncoupling 7.4 Conclusion 8 Optimal Orbit Corrections : Examples of Transfers 8.1 Optimal infinitesimal modification of the semi-major axis 8.2 Optimal infinitesimal rotation of the plane of orbit 8.3 Optimal transfers between close, coplanar, circular orbits 8.4 Optimal, multi-impulse transfers between close, near-circular orbits 9 Optimal Orbit Corrections : Examples of Rendezvous 9.1 Mean rendezvous 9.2 Multi-impulse, very long duration rendezvous between close, near-circular, non-coplanar orbits 9.3 Multi-impulse, long-duration rendezvous between close,coplanar, near-circular orbits 10 Time-Free Orbital Transfers : General Considerations 10.1 Introduction and assumptions 10.2 Separation between elliptic and hyperbolic phases 10.3 Optimal acquisition of the parabolic level 10.4 Ellipse ellipse transfer 10.5 Hyperbola -> hyperbola transfer 11 Time-Free Orbital Transfers : Results 11.1 Classification of orbits 11.2 Transfer between parabolae 11.3 Transfers from or towards the parabolic level 11.4 Transfers between hyperbolae 11.5 Transfer between elliptic orbits 12 Time-Fixed Orbital Transfers and Rendezvous 12.1 High-thrust propulsion systems 12.2 Low-thrust propulsion systems 13 Interplanetary Rendezvous 13.1 Classical propulsion (IFT system) 13.2 Electric propulsion 13.3 Comparison of propulsion systemsAuthor IndexSubject Index