Some necessary conditions for the optimality of synergetic maneuvers

I. Michael Ross, Sang Young Park

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Necessary conditions for the optimality of heating-rate constrained synergetic maneuvers are derived in this paper. Only the nonsingular (regular) problem is considered in some detail. The necessary conditions lead to the class of extremals that belong either to the exterior arc or the boundary arc. The junction conditions determine how these class of extremals may be joined. All of these conditions are obtained by considering the D-form of the Lagrangian which is obtained by directly adjoining the constraints to the Hamiltonian. Our conditions show that a number of extremals hitherto not considered in the literature should be included in the construction of the switching structure. In addition, a number of new junction conditions are derived which may be used by numerical analysts to validate their codes.

Original languageEnglish
Pages (from-to)569-581
Number of pages13
JournalAdvances in the Astronautical Sciences
Volume95 PART 2
Publication statusPublished - 1997

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science


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