Accession Number:

ADA165218

Title:

A Study of the Optimization Problem for Calibrating a Lacoste and Romberg 'G' Gravity Meter to Determine Circular Errors,

Descriptive Note:

Corporate Author:

OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING

Personal Author(s):

Report Date:

1985-09-01

Pagination or Media Count:

102.0

Abstract:

This report discusses how the circular errors of a gravity meter could be effectively calibrated in a laboratory. An optimization method is used in this study. Minimization of the trace of the variance-covariance matrix of adjusted parameters, is adopted as the criterion for the optimization. The mathematical analysis of the trace is made in the case of one wavelength in order to find the best distribution of observations, as well as the worst. For several wavelengths, a number of simulative computations are carried out for finding effective distribution of observations and the best weights, as well as the worst. A set of numerical solutions for the equations over a certain range of observations is obtained. Based on the simulative studies, the concepts of phase distribution and effectiveness of observations in the periodic error calibration are presented and so a design for the most effective distribution of observations is introduced. For the calibration of periodic errors with several wavelengths, it is preferable to select two weights that can be mutually compensated in fitting them with all involved periods. An attempt is made to answer how many observations should be made for determining the periodic screw errors with reasonable accuracy. Keywords Harmonic analysis Laboratory calibration Periodic screw error function Simulative adjustment Optimization.

Subject Categories:

  • Geodesy
  • Test Facilities, Equipment and Methods

Distribution Statement:

APPROVED FOR PUBLIC RELEASE