A Comparison of the SAOC with the AGK3 Hemispherical Expansions

Abstract

This is the second report on the systematic differences between the AGK3 and SAOC positions and proper motions. The general theory of formulating such differences, in three different circumstances, is developed and the method of (hemi)spherical harmonics applied. Magnitude and color terms are treated, through terms quadratic in m and c, by extending the variable space via tensor product spaces. The statistical significance of an expansion coefficient is ascertained by the F test. Also included is a discussion of the time dependence of these differences and a resolution of most of the poorly matching stars (Table 2 of Part I). (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 21, 1981
Accession Number
ADA109186

Entities

People

  • Laurence G. Taff

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Astrophysics
  • Coefficients
  • Delta Functions
  • Equations
  • Harmonics
  • Linear Algebra
  • Massachusetts
  • Numerical Quadrature
  • Polynomials
  • Procedures (Computers)
  • Sequences
  • Standards
  • Stars
  • Time Dependence
  • United States
  • United States Government

Readers

  • Astronomy/Astrophysics
  • Calculus or Mathematical Analysis
  • Spectroscopy.

Technology Areas

  • Space