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Optimal low-thrust trajectories to asteroids through an algorithm based on differential dynamic programming

Optimal low-thrust trajectories to asteroids through an algorithm based on differential dynamic programming
Optimal low-thrust trajectories to asteroids through an algorithm based on differential dynamic programming
In this paper an optimisation algorithm based on Differential dynamic programming is applied to the design of rendezvous and fly-by trajectories to near Earth objects. Differential dynamic programming is a successive approximation technique that computes a feedback control law in correspondence of a fixed number of decision times. In this way the high dimensional problem characteristic of low-thrust optimisation is reduced into a series of small dimensional problems. The proposed method exploits the stage-wise approach to incorporate an adaptive refinement of the discretisation mesh within the optimisation process. A particular interpolation technique was used to preserve the feedback nature of the control law, thus improving robustness against some approximation errors introduced during the adaptation process. The algorithm implements global variations of the control law,which ensure a further increase in robustness. The results presented show how the proposed approach is capable of fully exploiting the multi-body dynamics of the problem; in fact, in one of the study cases, a fly-by of the Earth is scheduled, which was not included in the first guess solution
0923-2958
75-112
Colombo, Camilla
595ced96-9494-40f2-9763-ad4a0f96bc86
Vasile, Massimiliano
de6550cb-82fc-49eb-b90b-dffa9787bf7d
Radice, Gianmarco
c9e2bab8-e37d-4bbd-8c00-4991856e0d2a
Colombo, Camilla
595ced96-9494-40f2-9763-ad4a0f96bc86
Vasile, Massimiliano
de6550cb-82fc-49eb-b90b-dffa9787bf7d
Radice, Gianmarco
c9e2bab8-e37d-4bbd-8c00-4991856e0d2a

Colombo, Camilla, Vasile, Massimiliano and Radice, Gianmarco (2009) Optimal low-thrust trajectories to asteroids through an algorithm based on differential dynamic programming. Journal of Celestial Mechanics and Dynamical Astronomy, 105 (1-3), 75-112. (doi:10.1007/s10569-009-9224-3).

Record type: Article

Abstract

In this paper an optimisation algorithm based on Differential dynamic programming is applied to the design of rendezvous and fly-by trajectories to near Earth objects. Differential dynamic programming is a successive approximation technique that computes a feedback control law in correspondence of a fixed number of decision times. In this way the high dimensional problem characteristic of low-thrust optimisation is reduced into a series of small dimensional problems. The proposed method exploits the stage-wise approach to incorporate an adaptive refinement of the discretisation mesh within the optimisation process. A particular interpolation technique was used to preserve the feedback nature of the control law, thus improving robustness against some approximation errors introduced during the adaptation process. The algorithm implements global variations of the control law,which ensure a further increase in robustness. The results presented show how the proposed approach is capable of fully exploiting the multi-body dynamics of the problem; in fact, in one of the study cases, a fly-by of the Earth is scheduled, which was not included in the first guess solution

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Published date: September 2009
Organisations: Astronautics Group

Identifiers

Local EPrints ID: 342323
URI: http://eprints.soton.ac.uk/id/eprint/342323
ISSN: 0923-2958
PURE UUID: 3209c536-3658-4c04-9e1a-338f7563e0de
ORCID for Camilla Colombo: ORCID iD orcid.org/0000-0001-9636-9360

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Date deposited: 22 Aug 2012 10:16
Last modified: 12 Nov 2019 02:10

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