Optimal formation reconfigurations subject to hill three-body dynamics

Chandeok Park, Ji Hyun Yang, Daniel J. Scheeres

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The article presents fuel-optimal continuous thrust formation flying maneuvers near the L2 Lagrangian point of the Hill restricted three-body dynamics. Under mild assumptions of the analyticity of the performance index and dynamical system, the generating function approach provides the initial adjoint and the optimal control in series form, with respect to known boundary conditions and time index. It is numerical in the sense that the initial value problems are solved for a system of ordinary differential equations numerically, and is analytic in the sense that the solution in explicit series form can be directly evaluated for desired boundary conditions and time spans. The higher-order solution obtained from the generating function provides more precise results and a larger region of temporal/spatial convergence than the linear quadratic solution.

Original languageEnglish
Pages (from-to)700-704
Number of pages5
JournalJournal of Guidance, Control, and Dynamics
Volume37
Issue number2
DOIs
Publication statusPublished - 2014 Jan 1

Fingerprint

Reconfiguration
Generating Function
boundary condition
Boundary conditions
boundary conditions
Formation Flying
formation flying
Index System
Series
Initial value problems
maneuvers
optimal control
Analyticity
Performance Index
System of Ordinary Differential Equations
Ordinary differential equations
boundary value problems
thrust
dynamical systems
Initial Value Problem

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics
  • Control and Systems Engineering

Cite this

Park, Chandeok ; Yang, Ji Hyun ; Scheeres, Daniel J. / Optimal formation reconfigurations subject to hill three-body dynamics. In: Journal of Guidance, Control, and Dynamics. 2014 ; Vol. 37, No. 2. pp. 700-704.
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Optimal formation reconfigurations subject to hill three-body dynamics. / Park, Chandeok; Yang, Ji Hyun; Scheeres, Daniel J.

In: Journal of Guidance, Control, and Dynamics, Vol. 37, No. 2, 01.01.2014, p. 700-704.

Research output: Contribution to journalArticle

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