Rapid Prediction of Vertical Deflections and Their Statistics for Surveying and Mapping Applications: Three Case Studies
Journal
Journal of Surveying Engineering
Journal Volume
147
Journal Issue
4
Date Issued
2021
Author(s)
Abstract
The accurate determination of deflections of the vertical is a complex scientific task that can be time-consuming and expensive. On occasion, good approximations are required for surveying and engineering applications. Although deflections of the vertical derived from geoid models are available online in certain regions, the exact computation procedure is not detailed and they generally are given without accompanying uncertainties. This work provides a simple, straightforward way, using least squares, to determine deflections of the vertical at geoid heights and their corresponding stochastic quantities, all based on undulations of the EGM2008 geoid model selected around the computation point. Three case studies were discussed, and an ancillary sample program is attached for completeness. ? 2021 American Society of Civil Engineers.
Subjects
Deflections of the vertical (DoV)
EGM2008 geoid model
General least squares
MATLAB
Stochastic models
Stochastic systems
Surveys
Case-studies
Engineering applications
Exact computations
Geoid heights
Geoid models
Least Square
Mapping applications
Vertical deflections
Deflection (structures)
deflection
geoid
least squares method
mapping
prediction
software
statistical analysis
stochasticity
surveying
SDGs
Type
journal article