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Erschienen in:
Integrability and Non Integrability of Some n Body Problems Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

Time-Minimum Control of the Restricted Elliptic Three-Body Problem Applied to Space Transfer

verfasst von : Monique Chyba, Geoff Patterson, Gautier Picot

Erschienen in: Recent Advances in Celestial and Space Mechanics

Verlag: Springer International Publishing

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Abstract

In this chapter, we investigate time minimal transfers in the elliptic restricted 3-body problem. We study the controllability of the problem and show that it is small-time locally controllable at the equilibrium points. We present results about the structure of the extremal trajectories, based on a previous study of the time minimum control of the circular restricted 3-body problem. We use indirect numerical methods in optimal control to simulate time-minimizing space transfers using the elliptic model from the geostationary orbit to the equilibrium points \(L_1\) and \(L_2\) in the Earth-Moon system, as well as a rendezvous mission with a near-Earth asteroid.

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Vorheriges Kapitel Low-Thrust Transfers Between Libration Point Orbits Without Explicit Use of Manifolds
Nächstes Kapitel On Local Optima in Minimum Time Control of the Restricted Three-Body Problem
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Metadaten
Titel
Time-Minimum Control of the Restricted Elliptic Three-Body Problem Applied to Space Transfer
verfasst von
Monique Chyba
Geoff Patterson
Gautier Picot
Copyright-Jahr
2016
Buch
Recent Advances in Celestial and Space Mechanics

Print ISBN: 978-3-319-27462-1

Electronic ISBN: 978-3-319-27464-5

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-27464-5_6

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