Investigation of One-Dimensional, Minimum-Time, Thrust-Limited Rocket Rendezvous in a Velocity-Squared Drag Environment.

Abstract

The two-point boundary value problem from optimal control theory is solved with drag coefficient as parameter. Numerical results and prior related studies are used to conclude that, if minimum-time rendezvous exist, singular arcs may be part of the trajectories for drag coefficients up to a limiting value. Simultaneous solution of two necessary singular-arc conditions gives initial conditions on this arc. Also concluded: minimum-time trajectories are possible for all drag coefficients and rendezvous, within limiting velocity bounds. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0859712

Entities

People

  • Arnold G. Crowder

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Control Theory
  • Environment
  • Rendezvous
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Aerodynamics/Aeronautics.
  • Control Systems Engineering.