Optimal low-thrust geostationary transfer orbit using legendre-gauss-radau collocation

Andrew M.S. Goodyear, David B. Spencer

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

Abstract

A reformulation of Edelbaum's equations for low thrust orbit raising between two circular orbits with an inclination change using optimal control theory was performed. A nonsingular modified equinoctial element set was used, and higher order gravitational harmonics up to and including J5 were included within the model. An indirect optimization scheme was performed to optain an optimal pitch steering law, and the state and costate equations were solved using a Legendre-Gauss-Radau collocation scheme. The numerical solution was broken up into two phases. The first phase has the objective of raising an orbit into a zone in which eclipsing is no longer an issue, and the second phase involves solving a two-point boundary value problem in order to finish the maneuver.

Original languageEnglish (US)
Title of host publicationAstrodynamics 2015
EditorsJames D. Turner, Geoff G. Wawrzyniak, William Todd Cerven, Manoranjan Majji
PublisherUnivelt Inc.
Pages3073-3088
Number of pages16
ISBN (Print)9780877036296
StatePublished - Jan 1 2016
EventAAS/AIAA Astrodynamics Specialist Conference, ASC 2015 - Vail, United States
Duration: Aug 9 2015Aug 13 2015

Publication series

NameAdvances in the Astronautical Sciences
Volume156
ISSN (Print)0065-3438

Other

OtherAAS/AIAA Astrodynamics Specialist Conference, ASC 2015
CountryUnited States
CityVail
Period8/9/158/13/15

Fingerprint

low thrust
transfer orbits
Orbital transfer
collocation
Orbits
thrust
orbits
control theory
circular orbits
maneuvers
optimal control
boundary value problems
inclination
equations of state
Control theory
harmonics
Boundary value problems
optimization

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Goodyear, A. M. S., & Spencer, D. B. (2016). Optimal low-thrust geostationary transfer orbit using legendre-gauss-radau collocation. In J. D. Turner, G. G. Wawrzyniak, W. T. Cerven, & M. Majji (Eds.), Astrodynamics 2015 (pp. 3073-3088). (Advances in the Astronautical Sciences; Vol. 156). Univelt Inc..
Goodyear, Andrew M.S. ; Spencer, David B. / Optimal low-thrust geostationary transfer orbit using legendre-gauss-radau collocation. Astrodynamics 2015. editor / James D. Turner ; Geoff G. Wawrzyniak ; William Todd Cerven ; Manoranjan Majji. Univelt Inc., 2016. pp. 3073-3088 (Advances in the Astronautical Sciences).
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abstract = "A reformulation of Edelbaum's equations for low thrust orbit raising between two circular orbits with an inclination change using optimal control theory was performed. A nonsingular modified equinoctial element set was used, and higher order gravitational harmonics up to and including J5 were included within the model. An indirect optimization scheme was performed to optain an optimal pitch steering law, and the state and costate equations were solved using a Legendre-Gauss-Radau collocation scheme. The numerical solution was broken up into two phases. The first phase has the objective of raising an orbit into a zone in which eclipsing is no longer an issue, and the second phase involves solving a two-point boundary value problem in order to finish the maneuver.",
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Goodyear, AMS & Spencer, DB 2016, Optimal low-thrust geostationary transfer orbit using legendre-gauss-radau collocation. in JD Turner, GG Wawrzyniak, WT Cerven & M Majji (eds), Astrodynamics 2015. Advances in the Astronautical Sciences, vol. 156, Univelt Inc., pp. 3073-3088, AAS/AIAA Astrodynamics Specialist Conference, ASC 2015, Vail, United States, 8/9/15.

Optimal low-thrust geostationary transfer orbit using legendre-gauss-radau collocation. / Goodyear, Andrew M.S.; Spencer, David B.

Astrodynamics 2015. ed. / James D. Turner; Geoff G. Wawrzyniak; William Todd Cerven; Manoranjan Majji. Univelt Inc., 2016. p. 3073-3088 (Advances in the Astronautical Sciences; Vol. 156).

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

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Goodyear AMS, Spencer DB. Optimal low-thrust geostationary transfer orbit using legendre-gauss-radau collocation. In Turner JD, Wawrzyniak GG, Cerven WT, Majji M, editors, Astrodynamics 2015. Univelt Inc. 2016. p. 3073-3088. (Advances in the Astronautical Sciences).