Impulsive guidance for optimal manifold-based transfers to earth-moon L1 halo orbits

William Anthony, Annie Larsen, Eric Butcher, Jeffrey S. Parker

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

Abstract

An impulsive guidance scheme is presented which maintains the spacecraft on the stable manifold of a L1 halo orbit in the Earth-Moon system in the presence of thrust errors in the manifold injection maneuver for a 2-impulse ballistic transfer from LEO to the halo orbit. A Monte Carlo analysis is shown for the unguided case using Gaussian input dispersions in burn magnitude and direction to demonstrate the need of impulsive guidance. Two strategies based on the state transition matrix are presented, one using single burns that only target the manifold, and full burn pairs that target the manifold at t1 and correct velocity errors at t2. Both strategies effectively reduce the halo orbit insertion miss distances; however, the single burn strategy has lower ΔV costs for guidance. Lyapunov Exponents (Les) of the stable manifold are then obtained and used to determine the best locations to perform the TCMs, which also include similar thrust errors in the final simulations.

Original languageEnglish (US)
Title of host publicationAdvances in the Astronautical Sciences
PublisherUnivelt Inc.
Pages761-777
Number of pages17
Volume150
ISBN (Print)9780877036050
StatePublished - 2014
Externally publishedYes
Event2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013 - Hilton Head Island, SC, United States
Duration: Aug 11 2013Aug 15 2013

Other

Other2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013
CountryUnited States
CityHilton Head Island, SC
Period8/11/138/15/13

Fingerprint

Moon
natural satellites
halos
Orbits
thrust
Earth (planet)
orbits
Monte Carlo analysis
Electronic guidance systems
spacecraft
Ballistics
Dispersions
matrix
miss distance
orbit insertion
Spacecraft
velocity errors
Earth-Moon system
cost
simulation

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Anthony, W., Larsen, A., Butcher, E., & Parker, J. S. (2014). Impulsive guidance for optimal manifold-based transfers to earth-moon L1 halo orbits. In Advances in the Astronautical Sciences (Vol. 150, pp. 761-777). Univelt Inc..

Impulsive guidance for optimal manifold-based transfers to earth-moon L1 halo orbits. / Anthony, William; Larsen, Annie; Butcher, Eric; Parker, Jeffrey S.

Advances in the Astronautical Sciences. Vol. 150 Univelt Inc., 2014. p. 761-777.

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

Anthony, W, Larsen, A, Butcher, E & Parker, JS 2014, Impulsive guidance for optimal manifold-based transfers to earth-moon L1 halo orbits. in Advances in the Astronautical Sciences. vol. 150, Univelt Inc., pp. 761-777, 2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013, Hilton Head Island, SC, United States, 8/11/13.
Anthony W, Larsen A, Butcher E, Parker JS. Impulsive guidance for optimal manifold-based transfers to earth-moon L1 halo orbits. In Advances in the Astronautical Sciences. Vol. 150. Univelt Inc. 2014. p. 761-777
Anthony, William ; Larsen, Annie ; Butcher, Eric ; Parker, Jeffrey S. / Impulsive guidance for optimal manifold-based transfers to earth-moon L1 halo orbits. Advances in the Astronautical Sciences. Vol. 150 Univelt Inc., 2014. pp. 761-777
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