Attractive set of optimal feedback control for the hill three-body problem

Mai Bando, Daniel J. Scheeres

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

Abstract

This paper investigates the combination of optimal feedback control with the dynamical structure of the three-body problem. The results provide new insights for the design of continuous low-thrust spacecraft trajectories. Specifically, we solve for the attracting set of an equilibrium point under optimal control with quadratic cost. The analysis reveals the relation between the attractive set and original dynamics. In particular, we find that the asymptotic form of the attractive set to an equilibrium point or a fixed point under optimal control is completely defined by its left unstable eigenvectors and a term inversely proportional to its unstable eigenvalue.

Original languageEnglish
Title of host publicationSpaceflight Mechanics 2016
PublisherUnivelt Inc.
Pages471-488
Number of pages18
Volume158
ISBN (Print)9780877036333
Publication statusPublished - 2016
Event26th AAS/AIAA Space Flight Mechanics Meeting, 2016 - Napa, United States
Duration: Feb 14 2016Feb 18 2016

Other

Other26th AAS/AIAA Space Flight Mechanics Meeting, 2016
CountryUnited States
CityNapa
Period2/14/162/18/16

Fingerprint

three body problem
optimal control
feedback control
Feedback control
spacecraft trajectories
low thrust
eigenvalue
Eigenvalues and eigenfunctions
Spacecraft
eigenvectors
eigenvalues
spacecraft
thrust
trajectory
Trajectories
costs
cost
Costs
analysis

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Bando, M., & Scheeres, D. J. (2016). Attractive set of optimal feedback control for the hill three-body problem. In Spaceflight Mechanics 2016 (Vol. 158, pp. 471-488). Univelt Inc..

Attractive set of optimal feedback control for the hill three-body problem. / Bando, Mai; Scheeres, Daniel J.

Spaceflight Mechanics 2016. Vol. 158 Univelt Inc., 2016. p. 471-488.

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

Bando, M & Scheeres, DJ 2016, Attractive set of optimal feedback control for the hill three-body problem. in Spaceflight Mechanics 2016. vol. 158, Univelt Inc., pp. 471-488, 26th AAS/AIAA Space Flight Mechanics Meeting, 2016, Napa, United States, 2/14/16.
Bando M, Scheeres DJ. Attractive set of optimal feedback control for the hill three-body problem. In Spaceflight Mechanics 2016. Vol. 158. Univelt Inc. 2016. p. 471-488
Bando, Mai ; Scheeres, Daniel J. / Attractive set of optimal feedback control for the hill three-body problem. Spaceflight Mechanics 2016. Vol. 158 Univelt Inc., 2016. pp. 471-488
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