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Transfer Between Invariant Manifolds: From Impulse Transfer to Low-Thrust Transfer

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Date
2018
Link to item file
https://hal.inria.fr/hal-01494042
Dewey
Analyse
Sujet
low-thrust transfer; invariant manifolds; CRTBP; continuation method; optimal control
Journal issue
Journal of Guidance, Control, and Dynamics
Volume
41
Number
3
Publication date
2018
Article pages
658--672
DOI
http://dx.doi.org/10.2514/1.G002922
URI
https://basepub.dauphine.fr/handle/123456789/18002
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Chupin, Maxime
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Haberkorn, Thomas
98 Mathématiques - Analyse, Probabilités, Modélisation - Orléans [MAPMO]
Trélat, Emmanuel
25 Laboratoire Jacques-Louis Lions [LJLL]
Type
Article accepté pour publication ou publié
Abstract (EN)
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

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