Investigation of Minimum-Fuel Limited-Thrust Orbital Transfer Trajectories.

Abstract

The method of quasilinearization is applied to the solution of a system of lumped-parameter differential equations providing the necessary conditions for minimum-fuel finite-thrust transfers between coplanar orbits. A central gravitational field is assumed. The equations are derived from the basic equations describing the motion of a finite-thrust rocket. The method of optimization (a modification of quasilinearization for application to bang-bang control problems), and the computer program used to solve the problem are discussed. The method is found to be inapplicable to the problem as originally formulated, and reasons for the inapplicability are given. A new formulation is presented, and computer programming techniques relevant to its solution are discussed. A printout of the program is included. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1969
Accession Number
AD0859003

Entities

People

  • Dennis L. M. Irion
  • Harold Dean Childers

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Application Software
  • Computer Programming
  • Computer Programs
  • Computers
  • Differential Equations
  • Equations
  • Gravitational Fields
  • Orbits
  • Trajectories
  • Transfer Orbits

Fields of Study

  • Physics

Readers

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

Technology Areas

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