Parallel modified chebyshev picard iteration for orbit catalog propagation and monte carlo analysis

Brent Macomber, Austin Probe, Robyn Woollands, John L. Junkins

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

Abstract

Modified Chebyshev Picard Iteration is a numerical method for integrating Ordinary Differential Equations. MCPI in a serial setting has been shown to improve the speed of orbit propagation computations by orders of magnitude over current state-of-the-practice methods. This paper presents a parallel MCPI framework for integrating the equations of perturbed orbital motion. It consists of a parallelized set of serial MCPI instances running in a compute cluster environment. Additionally, a first order Taylor series gravity approximation method is presented that allows MCPI to propagate orbits in the vicinity of a reference trajectory with vastly decreased computational cost. Two applications of parallel propagation are demonstrated, satellite catalog propagation, and Monte Carlo analysis of a system of particles.

Original languageEnglish (US)
Title of host publicationGuidance, Navigation and Control 2015 - Advances in the Astronautical Sciences
Subtitle of host publicationProceedings of the 38th Annual AAS Rocky Mountain Section Guidance and Control Conference
EditorsIan J. Gravseth
PublisherUnivelt Inc.
Pages1027-1038
Number of pages12
ISBN (Print)9780877036210
StatePublished - 2015
Externally publishedYes
Event38th Annual AAS Rocky Mountain Section Guidance and Control Conference, GNandC 2015 - Breckenridge, United States
Duration: Jan 30 2015Feb 4 2015

Publication series

NameAdvances in the Astronautical Sciences
Volume154
ISSN (Print)0065-3438

Conference

Conference38th Annual AAS Rocky Mountain Section Guidance and Control Conference, GNandC 2015
Country/TerritoryUnited States
CityBreckenridge
Period1/30/152/4/15

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

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