Accession Number:

AD0423880

Title:

ERGODIC THEORY, DIOPHANTINE APPROXIMATION, AND CERTAIN STOCHASTIC SATELLITE PROBLEMS,

Descriptive Note:

Corporate Author:

AEROSPACE CORP EL SEGUNDO CALIF

Personal Author(s):

• Price,C. M.

Report Date:

1963-07-15

Pagination or Media Count:

11.0

Abstract:

Suppose an initial configuration is given of satellites in their orbits. Interest is in questions such as, the subsatellite point of at least one of the satllites in the system falls within a designated area on the surface of the earth, or all of the satellites are simultaneously clustering around their respective southernmost points.. The aim is to define and calculate the probability of events of this nature, and show how this probability varies as a a function of the initial conditions. Known results from ergodic theory and diophantine approximation are applied for this purpose. Author

Descriptors:

• ARTIFICIAL SATELLITES
• MEASURE THEORY
• CONFIGURATIONS
• SEQUENCES(MATHEMATICS)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE