AN APPLICATION OF DYNAMIC PROGRAMMING TO THE DETERMINATION OF OPTIMAL SATELLITE TRAJECTORIES

Abstract

Consideration is given to a simplified satellite trajectory problem, corresponding to a flat earth assumption, first treated by Okhotsimskii and Eneev. A numerical solution is presented based upon the functional equation technique of dynamic programming. A proof of the fundamental result in the analytic solution is given. The same computational approach can be applied to more realistic trajectory problems.

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Document Details

Document Type
Technical Report
Publication Date
Aug 19, 1958
Accession Number
AD0607012

Entities

People

  • Richard E. Bellman
  • Stuart Dreyfus

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Forces
  • Altitude
  • Artificial Satellites
  • Calculus Of Variations
  • Cartesian Coordinates
  • Computations
  • Computer Programming
  • Computers
  • Coordinate Systems
  • Dynamic Programming
  • Equations
  • Equations Of Motion
  • Fuel Consumption
  • Mathematical Analysis
  • Monotone Functions
  • Thrust
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris