CHANDRASE HAR'S PLANETARY PROBLEM WITH INTERNAL SOURCES,

Abstract

Invariant imbedding equations are developed for the determination of the vertical stratification of terrestrial and other planetary atmospheres on the basis of satellite observations. The top altitude of a cloud, for example, can be estimated from the relative spectral intensities of the solar radiation reflected from the cloud in the oxygen 'A' band at 7600 angstrom, and in a nearby window. The results of RM-5245-PR are extended to solve the Chandrasekhar planetary problem for atmospheres with or without internal energy sources, and with or without bottom surface reflectivity, either Lambert or nonorthotropic. The differential-integral equations may be approximated by systems of stable initial-value problems that are readily and accurately solved by digital computers.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0652832

Entities

People

  • Harriet H. Kagiwada
  • Richard E. Bellman
  • Robert E. Kalaba
  • S. Ueno

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Altitude
  • Artificial Satellites
  • Atmospheres
  • Computers
  • Digital Computers
  • Equations
  • Integral Equations
  • Integrals
  • Intensity
  • Mathematics
  • Observation
  • Planetary Atmospheres
  • Radiation
  • Reflectivity
  • Solar Radiation

Readers

  • Calculus or Mathematical Analysis
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space