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

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 15, 1963
Accession Number
AD0423880

Entities

People

  • C. M. Price

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Clustering
  • Mathematics
  • Probability
  • Space Systems

Readers

  • Astronomy and Astrophysics.
  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.

Technology Areas

  • Space
  • Space - Orbital Debris