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Application of the Conjugate Gradient Method to a Problem on Minimum Time Orbit Transfer

Jayaraman, TS and Alam, M (1975) Application of the Conjugate Gradient Method to a Problem on Minimum Time Orbit Transfer. In: IEEE Aerospace and Electronic Systems Magazine, 11 (3). pp. 406-412.

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This correspondence considers the problem of optimally controlling the thrust steering angle of an ion-propelled spaceship so as to effect a minimum time coplanar orbit transfer from the mean orbital distance of Earth to mean Martian and Venusian orbital distances. This problem has been modelled as a free terminal time-optimal control problem with unbounded control variable and with state variable equality constraints at the final time. The problem has been solved by the penalty function approach, using the conjugate gradient algorithm. In general, the optimal solution shows a significant departure from earlier work. In particular, the optimal control in the case of Earth-Mars orbit transfer, during the initial phase of the spaceship's flight, is found to be negative, resulting in the motion of the spaceship within the Earth's orbit for a significant fraction of the total optimized orbit transfer time. Such a feature exhibited by the optimal solution has not been reported at all by earlier investigators of this problem.

Item Type: Journal Article
Publication: IEEE Aerospace and Electronic Systems Magazine
Publisher: IEEE
Additional Information: Copyright 1975 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: Ion propulsion, spacecraft orbits, thrust control, time optimal control, trajectory optimization, transfer orbits, algorithms, conjugates, coplanarity, earth orbits, gradients, spacecraft propulsion.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 23 Oct 2009 04:23
Last Modified: 23 Oct 2009 04:23
URI: http://eprints.iisc.ac.in/id/eprint/24139

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