Accession Number:

AD0652832

Title:

CHANDRASE HAR'S PLANETARY PROBLEM WITH INTERNAL SOURCES,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Bellman,R.
• Kagiwada,H.
• Kalaba,R.
• Ueno,S.

Report Date:

1967-05-01

Pagination or Media Count:

24.0

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.

Descriptors:

• *PLANETARY ATMOSPHERES
• *SOLAR RADIATION
• *ARTIFICIAL SATELLITES
• DIGITAL COMPUTERS
• EARTH(PLANET)
• CLOUDS
• ALTITUDE
• NUMERICAL METHODS AND PROCEDURES
• DIFFERENTIAL EQUATIONS
• INTEGRAL EQUATIONS

Subject Categories:

• Astrophysics
• Unmanned Spacecraft

Distribution Statement:

APPROVED FOR PUBLIC RELEASE