Chronometric geodesy applies general relativity to study the problem of the shape of celestial bodies including the earth, and their gravitational field. The present paper discusses the relativistic problem of construction of a background geometric manifold that is used for describing a reference ellipsoid, geoid, the normal gravity field of the earth and for calculating geoid’s undulation (hei...

Recent theoretical developments in astronomical aperture synthesis have revealed the existence of integer-ambiguity problems. Those problems, which appear in the self-calibration procedures of radio imaging, have been shown to be similar to the nearest-lattice point (NLP) problems encountered in high-precision geodetic positioning, and in global navigation satellite systems. In this paper, we a...

Spherical radial basis functions are used to define approximate solutions to strongly elliptic pseudodifferential equations on the unit sphere. These equations arise from geodesy. The approximate solutions are found by the Galerkin and collocation methods. A salient feature of the paper is a unified theory for error analysis of both approximation methods.

We get a uniqueness theorem for a Robin type boundary value problem for the Laplace equation arising in Physical Geodesy in the context of the gravimetric determination of the geoid. The boundary is an oblate ellipsoid of revolution and we have uniqueness of solutions provided that its eccentricity is (approximately) less than 0.526428.

1. Classification of models 2. Criteria for choosing models 3. Non-tidal loading effects 4. New models 5. Possible additions to the Conventions 6. Technique-dependent effects 7. Terminology concerning reference systems 8. Practical application to the rewriting of some parts of Conventions (2003) 9. Electronic diffusion of the Conventions 10. Links with other fields of geodesy 11. Next registere...

1 Faculty of Advanced Technology, University of Glamorgan, Pontypridd, Wales, CF37 1DL, UK {cmgold,mdakowic}@glam.ac.uk 2 Department of Geodesy and Geomatics Engineering, University of New Brunswick, P.O. Box 4400, Fredericton, New Brunswick, Canada E3B 5A3 [email protected] 3 Informatics and Mathematical Modelling, Technical University of Denmark, Richard Petersens Plads, Building 321, 2800 Kgs. Ly...

1 Hvar Observatory, Faculty of Geodesy, University of Zagreb, Kačićeva 26, HR-10000 Zagreb, Croatia 2 Kiepenheuer-Institut für Sonnenphysik, Schöneckstr. 6, D-79104 Freiburg, Germany 3 Geophysical Institute, Faculty of Science, University of Zagreb, Horvatovac bb, HR-10000 Zagreb, Croatia 4 Easy Toolkit, Inc., Houston, Texas, USA 5 Observatoire Royal de Belgique, Ave. Circulaire 3, B-1180 Bruxe...