Optimal Control of Ablation during Hyperbolic Entry.

Abstract

Methods of controlling the ablation rate of a spherical body entering the earth's atmosphere at hyperbolic velocities are investigated. Expulsion of air to force the shock wave away from the body and increase drag is shown to be impractical as a means of control for minimizing the ablation rate. Optimization by the gradient method with density of the ablation material as the control results in the maximum terminal diameter of the vehicle being achieved by selection of the ablative material with the highest density, other parameters being equal. However, density is shown to be a relatively ineffective control when compared with the material's heat of ablation. Empirical equations for calculating the heat transfer due to convective and radiative processes are used. Approximate equations are developed to express the relationships between heating rates, ablation rates, shock standoff distance, and drag, providing a means of relating material qualities to the equations of motion of a spherical entry body. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0860122

Entities

People

  • Keith F. Fuller
  • Richard H. Boivin

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Ablation
  • Ablative Materials
  • Atmospheres
  • Diameters
  • Equations
  • Equations Of Motion
  • Expulsion
  • Heat Transfer
  • Materials
  • Mathematics
  • Optimization
  • Shock
  • Shock Waves
  • Standoff
  • Terminals

Readers

  • Calculus or Mathematical Analysis
  • Space Exploration and Orbital Mechanics.
  • Thermal Physics or Thermal Science.