Error analysis of deflections of the vertical and undulations from the accuracies of gravity anomalies

1973 ◽  
Vol 108 (1) ◽  
pp. 141-156
Author(s):  
G. Obenson
Keyword(s):  
Error Analysis ◽  
Gravity Anomalies ◽  
Deflections Of The Vertical

The Development of the Inertial Rapid Geodetic Survey System at USAETL

1978 ◽  
Vol 32 (4) ◽  
pp. 465-470
Author(s):  
Mark S. Todd
Keyword(s):  
United States ◽  
United States Army ◽  
Navigation System ◽  
Inertial Navigation System ◽  
Gravity Anomalies ◽  
The United States ◽  
Geodetic Survey ◽  
Test Results ◽  
Deflections Of The Vertical ◽  
Survey System

This paper addresses the development of an inertial navigation system into a land-based geodetic survey system by the United States Army Engineer Topographic Laboratories from the Position and Azimuth Determining System (PADS) to the Rapid Geodetic Survey System (RGSS). It contains a brief description of the inertial platform and its operation to obtain position, elevation, gravity anomalies and deflections of the vertical. A summary of test results are included. Potential utilization and improvements are also addressed.

Comparison among Gravimetric, Astrogravimetric and Astrogeodetic Geoids: Case Study for Austria

2021 ◽  
Author(s):  
Hussein Abd-Elmotaal ◽  
Norbert Kühtreiber
Keyword(s):  
Gravity Anomalies ◽  
Geoid Determination ◽  
Data Sets ◽  
Deflections Of The Vertical ◽  
Collocation Technique ◽  
Dense Grid ◽  
Vening Meinesz ◽  
Stokes Integral ◽  
Stokes Kernel

<p>It is used to state that all geoid determination techniques should yield to the same geoid if the indirect effect is properly taken into account (Heiskanen and Moritz, 1967). The current study compares different geoid determination techniques for Austria. The used techniques are the gravimetric, astrogravimetric and astrogeodetic geoid determination techniques. The available data sets (gravity, deflections of the vertical, height, GPS) are described. The window remove-restore technique (Abd-Elmotaal and Kuehtreiber, 2003) has been used. The available gravity anomalies and the deflections of the vertical have been topographically-isostatically reduced using the Airy isostatic hypothesis. The reduced deflections have been used to interpolate deflections on a relatively dense grid covering the data window. These gridded reduced deflections have been used to compute an astrogeodetic geoid for Austria using least-squares collocation technique within the remove-restore scheme. The Vening Meinesz formula has been used to compute an astrogravimetric geoid for Austria. Another gravimetric geoid for Austria has been determined in the framework of the window remove-restore technique using Stokes integral with modified Stokes kernel. All computed geoids have been validated using GNSS/levelling derived geoid. A wide comparison among the derived geoids computed within the current investigation has been carried out.</p>

THE WORLD‐WIDE GRAVITY PROGRAM OF THE MAPPING AND CHARTING RESEARCH LABORATORY OF OHIO STATE UNIVERSITY

Geophysics ◽  
1951 ◽  
Vol 16 (4) ◽  
pp. 697-700 ◽  
Author(s):  
W. Heiskanen
Keyword(s):  
Research Laboratory ◽  
World Wide ◽  
Gravity Anomalies ◽  
Reference Ellipsoid ◽  
Ohio State University ◽  
Small Scale ◽  
State University ◽  
Deflections Of The Vertical ◽  
The World ◽  
The Absolute

This paper deals with the geodetic applications of the gravity method. Gravity anomalies permit the absolute undulations of the geoid and the absolute deflections of the vertical to be determined. In turn, these, together with astronomical observations, form the basis for a World Geodetic System for the control of small scale maps beginning with the scale 1:100,000. They serve also, together with existing triangulations, for the correction of the dimensions of the reference ellipsoid. Additional gravity surveys are needed in order to obtain these and other minor objectives. Cooperation among scientists and agencies of different countries concerned with these problems is a prerequisite for the success of this world‐wide program.

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