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 Citations (Scopus)

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

Fingerprint

intersections
grids
spacecraft trajectories
trajectory optimization
triangulation
Triangulation
inoculation
set theory
Spacecraft
Trajectories
output

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.

Automated detection of invariant manifold intersections using adaptive grid method. / Aurich, Joshua; Beeson, Ryne; Coverstone, Victoria.

AIAA/AAS Astrodynamics Specialist Conference, 2016. American Institute of Aeronautics and Astronautics Inc, AIAA, 2016.

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

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, AIAA/AAS Astrodynamics Specialist Conference, 2016, Long Beach, United States, 9/13/16.
Aurich J, Beeson R, Coverstone V. 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. 2016
Aurich, Joshua ; Beeson, Ryne ; Coverstone, Victoria. / Automated detection of invariant manifold intersections using adaptive grid method. AIAA/AAS Astrodynamics Specialist Conference, 2016. American Institute of Aeronautics and Astronautics Inc, AIAA, 2016.
@inproceedings{48afa6fca981400ea6a7e2a0361e7240,
title = "Automated detection of invariant manifold intersections using adaptive grid method",
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 Poincar{\'e} 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 Poincar{\'e} 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.",
author = "Joshua Aurich and Ryne Beeson and Victoria Coverstone",
year = "2016",
month = "1",
day = "1",
language = "English (US)",
isbn = "9781624104459",
booktitle = "AIAA/AAS Astrodynamics Specialist Conference, 2016",
publisher = "American Institute of Aeronautics and Astronautics Inc, AIAA",

}

TY - GEN

T1 - Automated detection of invariant manifold intersections using adaptive grid method

AU - Aurich, Joshua

AU - Beeson, Ryne

AU - Coverstone, Victoria

PY - 2016/1/1

Y1 - 2016/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84995581847&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84995581847&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781624104459

BT - AIAA/AAS Astrodynamics Specialist Conference, 2016

PB - American Institute of Aeronautics and Astronautics Inc, AIAA

ER -