Numerical verification of singular arcs on optimal Moon-to-Earth transfer

Chandeok Park, Hui Yan, I. Michael Ross, Qi Gong

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

6 Citations (Scopus)

Abstract

We analyze singular arcs arising in an optimal Moon-to-Earth trajectory and numerically verify its optimality. Imposing maximum thrust, fuel budget, and flight time as design constraints, we formulate a time-bound fuel-optimal control problem. The resulting control scheme is composed of three finite burns, among which the second burn is singular. We apply our newly derived necessary conditions to verify its optimality. All numerical results are developed via the software package DIDO.

Original languageEnglish
Title of host publicationSpaceflight Mechanics 2010 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the AAS/AIAA Space Flight Mechanics Meeting
Pages73-88
Number of pages16
Publication statusPublished - 2010 Dec 1
EventAAS/AIAA Space Flight Mechanics Meeting - San Diego, CA, United States
Duration: 2010 Feb 142010 Feb 17

Publication series

NameAdvances in the Astronautical Sciences
Volume136
ISSN (Print)0065-3438

Other

OtherAAS/AIAA Space Flight Mechanics Meeting
CountryUnited States
CitySan Diego, CA
Period10/2/1410/2/17

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

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  • Cite this

    Park, C., Yan, H., Ross, I. M., & Gong, Q. (2010). Numerical verification of singular arcs on optimal Moon-to-Earth transfer. In Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Space Flight Mechanics Meeting (pp. 73-88). (Advances in the Astronautical Sciences; Vol. 136).