Numerical Solutions on the Astronautical Problem of Thrust Vector Control for Optimum Solar Sail Transfer,

Abstract

The problem of optimum orbital transfer by means of best control of a solar radiation pressure thrusting device is considered. The method of analysis is based on a general approach using the indirect variational techniques. The study presented is concerned with the problem of optimum solar sail orbital transfer, such that the vehicle departing from an initial circular orbit arrives with maximum orbit velocity (also called injection velocity) at a given distance from the Sun. For those cases where the maximum orbit velocity, at the given distance from the Sun, corresponds with elliptical orbit velocity, the variational problem considered is therefore equivalent to an orbital transfer with maximum 'visviva' or to the ellipse of maximum semi-major axis. In this work the boundary value problem associated with the natural and physical end-conditions is solved numerically and a generalized graphical construction solving for the initial values of the multipliers, for given final radius (or distance from the Sun), is presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1963
Accession Number
AD0715611

Entities

People

  • C. R. Cavoti

Organizations

  • General Electric

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Circular Orbits
  • Elliptical Orbits
  • Orbits
  • Radiation
  • Radiation Pressure
  • Solar Radiation
  • Solar Sails
  • Solar Wind
  • Space Flight

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Control Systems Engineering.

Technology Areas

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