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A multi-objective approach to the design of low thrust space trajectories using optimal control

Dellnitz, Michael and Ober-Blöbaum, Sina and Post, Marcus and Schütze, Oliver and Thiere, Bianca (2009) A multi-objective approach to the design of low thrust space trajectories using optimal control. Celestial Mechanics and Dynamical Astronomy, 105 (1-3). pp. 33-59. ISSN 0923-2958.

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In this article, we introduce a novel three-step approach for solving optimal control problems in space mission design. We demonstrate its potential by the example task of sending a group of spacecraft to a specific Earth L_2 halo orbit. In each of the three steps we make use of recently developed optimization methods and the result of one step serves as input data for the subsequent one. Firstly, we perform a global and multi-objective optimization on a restricted class of control functions. The solutions of this problem are (Pareto-)optimal with respect to ΔV and flight time. Based on the solution set, a compromise trajectory can be chosen suited to the mission goals. In the second step, this selected trajectory serves as initial guess for a direct local optimization. We construct a trajectory using a more flexible control law and, hence, the obtained solutions are improved with respect to control effort. Finally, we consider the improved result as a reference trajectory for a formation flight task and compute trajectories for several spacecraft such that these arrive at the halo orbit in a prescribed relative configuration. The strong points of our three-step approach are that the challenging design of good initial guesses is handled numerically by the global optimization tool and afterwards, the last two steps only have to be performed for one reference trajectory.

Item Type:Article
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Additional Information:© Springer Science+Business Media B.V. 2009. Received: 1 November 2008. Revised: 25 August 2009. Accepted: 1 September 2009. Published online: 26 September 2009. This research was partly supported by the EU funded Marie Curie Research Training Network AstroNet, by the AFOSR grant FA9550-08-1-0173, and by the priority program SPP 1305 of the Deutsche Forschungsgemeinschaft (DFG).
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)SPP 1305
Air Force Office of Scientific Research (AFOSR)FA9550-08-1-0173
Subject Keywords:Space mission design; Low thrust propulsion; Three body problem; Multi-objective optimization; Pareto set; Optimal control; Formation flight
Issue or Number:1-3
Classification Code:PACS 5.10.Ce - 02.60.Pn - 45.20.Jj - 45.80.+r - 45.10.Db.
Record Number:CaltechAUTHORS:20091111-135426564
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16672
Deposited By: Tony Diaz
Deposited On:16 Nov 2009 23:12
Last Modified:03 Oct 2019 01:15

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