Optimal low thrust trajectories using differential inclusion concepts

Victoria Coverstone, Steven N. Williams

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

A direct optimization method based on differential inclusion concepts has been developed and used to compute low thrust trajectories. This new formulation removes explicit control dependence from the problem statement thereby reducing the dimension of the parameter space of the resulting nonlinear programming problem. A simple example of a two-dimensional gravity-free trajectory involving a maximum velocity transfer to a rectilinear path is discussed. Three interplanetary trajectory examples, an Earth-Mars constant specific impulse transfer, an Earth-Jupiter constant specific impulse transfer, and an Earth-Venus-Mars variable specific impulse gravity assist, are also included. An evaluation of the technique's performance is provided.

Original languageEnglish (US)
Title of host publicationAdvances in the Astronautical Sciences
EditorsJohn E.Jr. Cochran, Charles D.Jr. Edwards, Stephen J. Hoffman, Richard Holdaway
PublisherPubl by Univelt Inc
Pages1003-1014
Number of pages12
Volume87
Edition2
ISBN (Print)0877033862
StatePublished - Jan 1 1994
Externally publishedYes
EventProceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2) - Cocoa Beach, FL, USA
Duration: Feb 14 1994Feb 16 1994

Other

OtherProceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2)
CityCocoa Beach, FL, USA
Period2/14/942/16/94

Fingerprint

Earth (planet)
Trajectories
Gravitation
Nonlinear programming

ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

Coverstone, V., & Williams, S. N. (1994). Optimal low thrust trajectories using differential inclusion concepts. In J. E. J. Cochran, C. D. J. Edwards, S. J. Hoffman, & R. Holdaway (Eds.), Advances in the Astronautical Sciences (2 ed., Vol. 87, pp. 1003-1014). Publ by Univelt Inc.

Optimal low thrust trajectories using differential inclusion concepts. / Coverstone, Victoria; Williams, Steven N.

Advances in the Astronautical Sciences. ed. / John E.Jr. Cochran; Charles D.Jr. Edwards; Stephen J. Hoffman; Richard Holdaway. Vol. 87 2. ed. Publ by Univelt Inc, 1994. p. 1003-1014.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Coverstone, V & Williams, SN 1994, Optimal low thrust trajectories using differential inclusion concepts. in JEJ Cochran, CDJ Edwards, SJ Hoffman & R Holdaway (eds), Advances in the Astronautical Sciences. 2 edn, vol. 87, Publ by Univelt Inc, pp. 1003-1014, Proceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2), Cocoa Beach, FL, USA, 2/14/94.
Coverstone V, Williams SN. Optimal low thrust trajectories using differential inclusion concepts. In Cochran JEJ, Edwards CDJ, Hoffman SJ, Holdaway R, editors, Advances in the Astronautical Sciences. 2 ed. Vol. 87. Publ by Univelt Inc. 1994. p. 1003-1014
Coverstone, Victoria ; Williams, Steven N. / Optimal low thrust trajectories using differential inclusion concepts. Advances in the Astronautical Sciences. editor / John E.Jr. Cochran ; Charles D.Jr. Edwards ; Stephen J. Hoffman ; Richard Holdaway. Vol. 87 2. ed. Publ by Univelt Inc, 1994. pp. 1003-1014
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