Automated detection of invariant manifold intersections using adaptive grid method

Joshua Aurich, Ryne Beeson, Victoria Coverstone

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

6 Scopus citations

Abstract

This paper tackles a critical issue for developing an efficient automated global opti-mization tool for spacecraft trajectory optimization in the three body realm. Specifically, we address the issue of seeding a global optimizer with states that lie near advantageous homoclinic and heteroclinic connections. We accomplish this with a new method that pro-grammatically identifies queried regions of subsets of Poincaré surfaces of section. This method uses an adaptively sized grid approach which scales in size to detect the interior of bounded regions. Additionally, this approach overlaps sets which are the result from intersecting two manifolds with Poincaré surfaces of section to identify various regions of interest. A Delaunay triangulation method is used to detect intersection of sets of points and as an output generates regions which are designed to be queried by a global optimizer.

Original languageEnglish (US)
Title of host publicationAIAA/AAS Astrodynamics Specialist Conference, 2016
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624104459
StatePublished - Jan 1 2016
Externally publishedYes
EventAIAA/AAS Astrodynamics Specialist Conference, 2016 - Long Beach, United States
Duration: Sep 13 2016Sep 16 2016

Other

OtherAIAA/AAS Astrodynamics Specialist Conference, 2016
CountryUnited States
CityLong Beach
Period9/13/169/16/16

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ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Aerospace Engineering

Cite this

Aurich, J., Beeson, R., & Coverstone, V. (2016). Automated detection of invariant manifold intersections using adaptive grid method. In AIAA/AAS Astrodynamics Specialist Conference, 2016 American Institute of Aeronautics and Astronautics Inc, AIAA.