Optimal switching in coplanar orbit transfer

  • Nguyen X. Vinh
  • Robert Dudley Culp
Contributed Papers


The set of all controls that satisfy the Weierstrass necessary condition for optimality in the problem of time-open, coplanar orbit transfer via impulses is presented, along with the switching relations that must be satisfied at a corner in an optimal trajectory. This includes detailed data for eccentricities near unity. This study takes advantage of recently discovered closed-form solutions for the switching surfaces of this problem.


Detailed Data Optimal Trajectory Switching Surface Orbit Transfer Optimal Switching 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Vinh, N. X.,Exact Relations of Optimum Switching in the Problem of Impulsive Transfer, Journal of the Astronautical Sciences, Vol. 17, No. 6, 1970.Google Scholar
  2. 2.
    Marchal, C.,Transfers Optimaux entre Orbites Kepleriennes. Une Expression des Commutations sous Forme Finie, Astronautica Acta (to appear).Google Scholar
  3. 3.
    Culp, R. D.,Contensou-Busemann Conditions for Optimal Coplanar Orbit Transfer, AIAA Journal, Vol. 5, No. 2, 1967.Google Scholar
  4. 4.
    Vinh, N. X., andMarchal, C.,The Lawden's Singular Arcs in a Central Gravitational Field, Paper Presented at the 21st Congress of the International Astronautical Federation, Constance, West Germany, 1970.Google Scholar

Copyright information

© Plenum Publishing Corporation 1971

Authors and Affiliations

  • Nguyen X. Vinh
    • 1
  • Robert Dudley Culp
    • 2
  1. 1.Department of Aerospace EngineeringThe University of MichiganAnn Arbor
  2. 2.Department of Aerospace Engineering SciencesUniversity of ColoradoBoulder

Personalised recommendations