The Estimation of Orthometric Heights from GPS Baseline Vectors Using Gravity Field Information and Least-Squares Collocation

Schriftenreihe
des Instituts für Geodäsie

Heft 19/1986


 
The Estimation of Orthometric Heights
from GPS Baseline Vectors
Using Gravity Field Information
and Least-Squares Collocation

Bernd EISSFELLER
 

In: LANDAU, Herbert / EISSFELLER, Bernd / HEIN, Günter W. [1986]:
GPS Research 1985 at the Institute of Astronomical and Physical Geodesy
Schriftenreihe Universitärer Studiengang Vermessungswesen, Universität der Bundeswehr München, Heft 19, Neubiberg, S. 107-126.
 



Abstract

The adjustment of GPS baseline vectors in geodetic networks yields (among other quantities) very precise ellipsoidal height differences. Due to the fast that the (orthometric) heights in classical geodetic networks are defined physically refering to the geoid as vertical reference surface, heights above the ellipsoid are in principle of no use for geodetic and surveying applications.

The topic of this paper is to discuss a solution strategy for the separation of orthometric heights and relative geoidla heights which can be done only by taking into account additional gravity field data in such an approach.

Starting with the basic observations equation of cartesian baseline vectors, a least-squares collocation solution strategy is presented. Minimizing the hybrid quadratic norm of observational noise and the functionals of the gravity disturbing potential (signals) ellipsoidal coordinates B, L, orhtometric heights H, and geoidal undulations N can be estimated in a unified model approach.
 



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