Accession Number:

AD0745998

Title:

A Comparison of the Gradient and Newton-Raphson Techniques for Reentry Trajectory Optimization.

Descriptive Note:

Master's thesis,

Corporate Author:

AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING

Report Date:

1972-06-01

Pagination or Media Count:

172.0

Abstract:

The report contains a two-dimensional optimization analysis of reentry trajectories for minimization of space vehicle heating and maximization of terminal range, conducted for a lifting body reentry vehicle with a maximum lift-to-drag of three. Based on this analysis there appears to be a conflict between heat minimization and range maximization in that a high angle-of-attack is required to minimize the heating rate and a lower angle-of-attack is required to maximize range. Two optimization techniques were compared, a Newton-Raphson method and a steepest-descent gradient method. A modification of the gradient technique, which was based upon the variational Hamiltonian, was applied after convergence to a near-optimal solution, resulting in an improved control profile. Author

Subject Categories:

  • Spacecraft Trajectories and Reentry
  • Manned Spacecraft

Distribution Statement:

APPROVED FOR PUBLIC RELEASE