Iterative five-element lyapunov control for low thrust rendezvous with modified chebyshev picard iteration

Nathan I. Budd, Julie L. Read, Robyn M. Woollands, John L. Junkins

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

Abstract

We present an iterative five-element Lyapunov control for low thrust rendezvous that uses Modified Chebyshev Picard Iteration (MCPI), an iterative solver of linear and nonlinear ordinary differential equations (ODEs). MCPI uses Chebyshev polynomials to approximate the orbital trajectory and then uses Picard iteration to improve the approximation iteratively. We discuss simulations of two rendezvous test cases, which illustrate the effectiveness of this method as a computationally cheap alternative to relatively expensive optimal control solutions.

Original languageEnglish (US)
Title of host publicationSpaceflight Mechanics 2017
EditorsJon A. Sims, Frederick A. Leve, Jay W. McMahon, Yanping Guo
PublisherUnivelt Inc.
Pages3967-3978
Number of pages12
ISBN (Print)9780877036371
StatePublished - 2017
Externally publishedYes
Event27th AAS/AIAA Space Flight Mechanics Meeting, 2017 - San Antonio, United States
Duration: Feb 5 2017Feb 9 2017

Publication series

NameAdvances in the Astronautical Sciences
Volume160
ISSN (Print)0065-3438

Other

Other27th AAS/AIAA Space Flight Mechanics Meeting, 2017
CountryUnited States
CitySan Antonio
Period2/5/172/9/17

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

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