Transfer Between Invariant Manifolds: From Impulse Transfer to Low-Thrust Transfer
| Autor: | Emmanuel Trélat, Thomas Haberkorn, Maxime Chupin |
|---|---|
| Přispěvatelé: | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE), Université Paris Dauphine-PSL-Centre National de la Recherche Scientifique (CNRS), Institut Denis Poisson (IDP), Université d'Orléans (UO)-Université de Tours-Centre National de la Recherche Scientifique (CNRS), Control And GEometry (CaGE ), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Sorbonne Universités, Centre National de la Recherche Scientifique (CNRS)-Université Paris Dauphine-PSL, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL), Centre National de la Recherche Scientifique (CNRS)-Université de Tours-Université d'Orléans (UO), Sorbonne Université (SU), Centre National de la Recherche Scientifique (CNRS)-Université de Tours (UT)-Université d'Orléans (UO), Université Paris Dauphine-PSL, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Université d'Orléans (UO)-Université de Tours (UT)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Fortran [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] Aerospace Engineering Lagrangian point Thrust 02 engineering and technology 01 natural sciences Continuation 020901 industrial engineering & automation Robustness (computer science) 0103 physical sciences Applied mathematics Electrical and Electronic Engineering Invariant (mathematics) 010303 astronomy & astrophysics Mathematics computer.programming_language Applied Mathematics Continuation method Solver Optimal control 49M05 70F07 49M15 CRTBP Space and Planetary Science Control and Systems Engineering Invariant manifolds Low-thrust transfer [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] computer |
| Zdroj: | Journal of Guidance, Control, and Dynamics Journal of Guidance, Control, and Dynamics, American Institute of Aeronautics and Astronautics, 2018, 41 (3), pp.658--672. ⟨10.2514/1.G002922⟩ hilosophers Journal of Guidance, Control, and Dynamics, 2018, 41 (3), pp.658--672. ⟨10.2514/1.G002922⟩ |
| ISSN: | 0731-5090 |
| DOI: | 10.2514/1.G002922⟩ |
| Popis: | In this work, a new robust and fast method is developed to perform transfers that minimize fuel consumption between two invariant manifolds of periodic orbits in the circular restricted three-body problem. The method starts with an impulse transfer between two invariant manifolds to build an optimal control problem. This allows to choose an adequate fixed transfer time. Using the Pontryagin maximum principle, the resolution of the problem is formulated as that of finding the zero of a shooting function (indirect method). The algorithm couples different kinds of continuations (on cost, final state, and thrust) to improve robustness and to initialize the solver. The efficiency of the method is illustrated with numerical examples. Finally, the influence of the transfer time is studied numerically thanks to a continuation on this parameter, and it checks that, when transfer duration goes to zero, the control converges to the impulse transfer that it started with. It shows the robustness of the method and establishes a mathematical link between the two problems. Read More: https://arc.aiaa.org/doi/10.2514/1.G002922 |
| Databáze: | OpenAIRE |
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