Basic Formulae for the Computation of the Deflection of the Vertical from Astronomical Star Observations,

Abstract

In this report we deal with new concepts for determining the astrogeodetic deflection of the vertical, in the sense that we determine the xi and eta deflection components completely independently of the knowledge of the astronomic coordinates, latitude and longitude, hence reducing the time and cost of field work. The first part of this paper is devoted to finding a relationship between the deflection components with respect to a star or stars positions. We have found that the xi and eta components are related to either the difference between the astronomic and geodetic star zenith distances; azimuths; parallactic angles, or are based on a star rate of change in azimuth and zenith distance with respect to time. Except for the last one, star pairs must be considered. In the second part of this paper, we consider a method that deals with the solution for the deflection components xi and eta from observation of star pairs, as function of the astronomic and geodetic zenith distances. The effect of errors in evaluating the deflection components xi and eta as well as the polar migration, are considered.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA154912

Entities

People

  • A. A. Baldini

Organizations

  • Geospatial Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Catalogs
  • Computations
  • Deflection
  • Equations
  • Errors
  • Grids
  • Interdisciplinary Science
  • Latitude
  • Longitude
  • Mathematics
  • Migration
  • Military Research
  • Observation
  • Radio Signals
  • Star Position
  • Triangles
  • World Geodetic System

Fields of Study

  • Physics

Readers

  • Astronomy/Astrophysics
  • Calculus or Mathematical Analysis
  • Geodesy