Optimal Escape Trajectory from a High Earth Orbit by Use of Solar Radiation Pressure.

Abstract

This thesis develops the optimal control law necessary for a minimum time excape from a high Earth orbit utilizing solar radiation pressure. A force model is developed for an ideal flat sail and a proposed Jet Propulsion Laboratory square sail. A two-body inverse square force field model is assumed. The Earth's orbit about the Sun is assumed circular, and the solar flux is assumed constant during the escape maneuver. The initial state is given, and the only condition on the final state is that the energy of the spececraft equals zero. A modified Newton-Raphson method is used to solve the two-point boundary value problem. It is found that the performance of any solar sail escape trajectory tends to fall between the limiting cases of similar polar and ecliptic escape trajectories. A velocity-dependent control law is also examined and found to be a good approximation to the optimal control law. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 08, 1977
Accession Number
ADA054754

Entities

People

  • Andrew J. Green

Organizations

  • Charles Stark Draper Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Differential Equations
  • Earth Orbits
  • Equations
  • High Earth Orbits
  • Jet Propulsion
  • Low Earth Orbits
  • Orbits
  • Plastic Explosives
  • Radiation
  • Radiation Pressure
  • Solar Radiation
  • Solar Sails
  • Solar Wind
  • Spacecraft
  • Trajectories
  • United States

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Solar Physics

Technology Areas

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