Journal of Optimization Theory and Applications

, Volume 11, Issue 2, pp 189–202 | Cite as

General theory of optimal trajectory for rocket flight in a resisting medium

  • N. X. Vinh
Contributed Papers

Abstract

This paper considers the problem of optimizing the flight trajectory of a rocket vehicle moving in a resisting medium and in a general gravitational force field. General control laws for the lift, the bank angle, and the thrusting program are obtained in terms of the primer vector, the adjoint vector associated to the velocity vector. Additional relations for the case of variable thrusting and integrals of motion for flight at maximum lift-to-drag ratio and flight in a constant gravitational field are obtained.

Keywords

General Theory Velocity Vector Force Field Gravitational Field General Control 
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Copyright information

© Plenum Publishing Corporation 1973

Authors and Affiliations

  • N. X. Vinh
    • 1
  1. 1.Department of Aerospace EngineeringThe University of MichiganAnn Arbor

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