Approximate analytic representations for low-thrust trajectories

D. J. Stewart, Robert Graham Melton

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

5 Citations (Scopus)

Abstract

This paper presents a multivariable perturbation solution to the equations of a vehicle moving under the influence of constant low-level thrust, using a fixed-angle steering law, and moving in an inverse-square gravitational field, in a single plane. Comparisons with direct numerical integration show relatively low errors and sizable advantages in speed for the analytic approximation. Introducing a rectification step provides a means of error control for very large numbers of revolutions.

Original languageEnglish (US)
Title of host publicationAstrodynamics 1991
PublisherPubl by Univelt Inc
Pages1455-1467
Number of pages13
Volume76
Editionpt 2
ISBN (Print)0877033471
StatePublished - 1992
EventProceedings of the AAS/AIAA Astrodynamics Conference - Durango, CO, USA
Duration: Aug 19 1991Aug 22 1991

Other

OtherProceedings of the AAS/AIAA Astrodynamics Conference
CityDurango, CO, USA
Period8/19/918/22/91

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All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

Cite this

Stewart, D. J., & Melton, R. G. (1992). Approximate analytic representations for low-thrust trajectories. In Astrodynamics 1991 (pt 2 ed., Vol. 76, pp. 1455-1467). Publ by Univelt Inc.
Stewart, D. J. ; Melton, Robert Graham. / Approximate analytic representations for low-thrust trajectories. Astrodynamics 1991. Vol. 76 pt 2. ed. Publ by Univelt Inc, 1992. pp. 1455-1467
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Stewart, DJ & Melton, RG 1992, Approximate analytic representations for low-thrust trajectories. in Astrodynamics 1991. pt 2 edn, vol. 76, Publ by Univelt Inc, pp. 1455-1467, Proceedings of the AAS/AIAA Astrodynamics Conference, Durango, CO, USA, 8/19/91.

Approximate analytic representations for low-thrust trajectories. / Stewart, D. J.; Melton, Robert Graham.

Astrodynamics 1991. Vol. 76 pt 2. ed. Publ by Univelt Inc, 1992. p. 1455-1467.

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

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AB - This paper presents a multivariable perturbation solution to the equations of a vehicle moving under the influence of constant low-level thrust, using a fixed-angle steering law, and moving in an inverse-square gravitational field, in a single plane. Comparisons with direct numerical integration show relatively low errors and sizable advantages in speed for the analytic approximation. Introducing a rectification step provides a means of error control for very large numbers of revolutions.

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Stewart DJ, Melton RG. Approximate analytic representations for low-thrust trajectories. In Astrodynamics 1991. pt 2 ed. Vol. 76. Publ by Univelt Inc. 1992. p. 1455-1467