Accession Number:

ADA231560

Title:

A Perturbation Solution of the Main Problem in Artificial Satellite Theory

Descriptive Note:

Master's thesis

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

Report Date:

1990-06-01

Pagination or Media Count:

35.0

Abstract:

The main problem of artificial satellite theory is a restricted two body problem in which the Legendre Polynomial representation of the cylindrically symmetric potential contains only the first two terms. A generalized asymptotic expansion is used to obtain a first order approximation. The solution at the critical inclination is seen to be of a different type than at other inclinations. The solution is finite for all eccentricities and inclinations when suitably restricted in time.

Subject Categories:

  • Numerical Mathematics
  • Unmanned Spacecraft

Distribution Statement:

APPROVED FOR PUBLIC RELEASE