THE DETERMINATION OF OPTIMUM TAKE-OFF PATHS FOR THE SST IN TERMS OF FLIGHT PATH PARAMETERS AND TERMINAL CONDITIONS.

Abstract

An approach to the problem of determining safe take-off paths for the SST, using optimization methods, is presented. It is shown that optimal paths can be defined in terms of flight parameters such as acceleration, velocity and flight path angle. A performance index is postulated, and state equations for the dynamic system are formulated with alpha as control and with gamma as control. Pontryagin's Maximum Principle is applied to determine necessary conditions for optimality, and the resulting two-point boundary-value problem is solved by a gradient technique. Examples of flight profiles and the computer program are included. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0824909

Entities

People

  • David W. Collins
  • Roger Allen Mcclain

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Computer Programs
  • Computers
  • Equations
  • Equations Of State
  • Flight
  • Flight Paths
  • Mathematics
  • Optimization
  • Terminals

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Aviation Science / Aeronautics.
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers