OPTIMAL STATION KEEPING AT THE L4 LIBRATION POINT

Abstract

A control system is devised for maintaining a space vehicle in close proximity to one of the earth-moon triangular libration points while minimizing fuel consumption. The problem is formulated as an optimal state regulator problem of variational calculus and then modern control theory is applied. A quadratic performance criterion is used which leads to a linear feedback control system. The feedback gains are obtained by solving a matrix differential equation of the Ricatti type on a high-speed digital computer. Performance of the resulting optimal system is verified and further analyzed on an analog computer.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0665131

Entities

People

  • Isaac R. Steinberg

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Analog Computers
  • Artificial Satellites
  • Closed Loop Systems
  • Computational Science
  • Computer Programs
  • Computers
  • Control Systems
  • Control Theory
  • Coordinate Systems
  • Differential Equations
  • Digital Computers
  • Equations
  • Plastic Explosives
  • Space Systems
  • Spacecraft
  • Vehicles

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electronics Engineering
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Spacecraft Maneuvers