On the Interpolation of Gravity Anomalies and Deflections of the Vertical in Mountainous Terrain.
Abstract
The paper first addresses the interpolation of gravity anomalies in mountainous terrain, to be represented as the sum of a 'signal' variable with a quasi-stationary estimation structure and a computable 'noise' variable without a stationary character. It then develops the particular solution of the boundary value problem of physical geodesy which permits a similar representation of deflections of the vertical and draws some conclusions concerning the inapplicability of Molodensky's series approach and of the collocation method for the accurate determination of vertical deflections from unmodified gravity anomalies in mountainous terrain. Thereafter, it discusses the estimation of signal-type deflections of the vertical by means of spatial covariance functions, i.e., by a linear regression technique called statistical collocation in physical geodesy, and provides first order expansions of planar covariance functions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 05, 1981
- Accession Number
- ADA102700
Entities
People
- H. Baussus Von Luetzow
Organizations
- Geospatial Research Laboratory