Optimal formation reconfigurations subject to hill three-body dynamics

Chandeok Park, Ji Hyun Yang, Daniel J. Scheeres

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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
Issue number2
Publication statusPublished - 2014

Bibliographical note

Funding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (2012R1A1A1012351).

All Science Journal Classification (ASJC) codes

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


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