Accession Number:

ADA272937

Title:

A New Procedure for Orbit Determination Based on Three Lines of Sight (Angles Only)

Descriptive Note:

Technical rept.

Corporate Author:

DEFENCE RESEARCH AGENCY FARNBOROUGH (UNITED KINGDOM)

Personal Author(s):

Report Date:

1993-04-01

Pagination or Media Count:

67.0

Abstract:

A new procedure has been developed for the general solution of the minimal angles-only problem in which an orbit is determined from three line-of- sight observations. The basis of the approach is a higher-order Newton correction of the assumed values for two of the unknown ranges, appeal being made to the authors published universal solution of Lamberts orbital boundary-value problem. The new procedure is free of the inherent limitations of the traditional methods of Laplace and Gauss, these methods being outlined in a summary of previous approaches to this classical problem. In particular, the observations are permitted to span several revolutions when the orbit is elliptic multiple solutions can be obtained and there is no restriction on the configuration of the three observing sites. The procedure has been carefully tested, some of the examples being taken from the literature. A number of test problems have been solved that would have failed by existing methods. Orbits, Celestial mechanics

Subject Categories:

  • Celestial Mechanics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE