Geodetic Theory Today: Third Hotine-Marussi Symposium on Mathematical Geodesy L’Aquila, Italy, May 30–June 3, 1994

453 Pages·1995·36.08 MB·English

by  Battista Benciolini (auth.), Fernando Sansò (eds.)

International Association of Geodesy Symposia
Wolfgang Torge, Series Editor
Symposium 101: Global and Regional Geodynamics
Symposium 102: Global Positioning System: An Overview
Symposium 103: Gravity, Gradiometry, and Gravimetry
Symposium 104: Sea Surface Topography and the Geoid
Symposium 105: Earth Rotation and Coordinate Reference Frames
Symposium 106: Determination of the Geoid: Present and Future
Symposium 107: Kinematic Systems in Geodesy, Surveying, and Remote Sensing
Symposium 108: Applications of Geodesy to Engineering
Symposium 109: Permanent Satellite Tracking Networks for Geodesy and Geodynamics
Symposium 110: From Mars to Greenland: Charting Gravity with Space and Airborne Instruments
Symposium 111: Recent Geodetic and Gravimetric Research in Latin America
Symposium 112: Geodesy and Physics of the Earth: Geodetic Contributions to Geodynamics
Symposium 113: Gravity and Geoid
Symposium 114: Geodetic Theory Today
Geodetic Theory Today
Third Hotine-Marussi Symposium
on Mathematical Geodesy
Symposium No. 114
L' Aquila, Italy, May 30 -June 3, 1994
Convened and Edited by
Fernando Sanso
Springer
Fernando Sanso Series Editor
Politecnico di Milano Wolfgang Torge
Dipartimento di Ingegneria Idraulica, Institut fUr Erdmessung
Ambientale e del Rilevamento UniversiHit Hannover
Piazza Leonardo da Vinci 32 Nienburger StraBe 6
1-20133 Milano, Italy
D-30167 Hannover, Germany
Library of Congress Cataloging-in-Publication Data
Hotine-Marussi Symposium on Mathematical Geodesy (3rd 1994:
L'Aquila, Italy)
Geodetic theory today: Third Hotine-Marussi Symposium on
Mathematical Geodesy, L'Aquila, Italy, May 30-June 3, 1994 /
convened and edited by Fernando Sanso.
p. cm. -- (International Association of Geodesy symposia
symposium no. 114)
"The papers presented in this volume are the result of an lAG
symposium held during the XX General Assembly of the International
Union of Geodesy and Geophysics in Vienna, August 11-24, 1991"--T.p.
verso.
Includes bibliographical references.
ISBN-1~978-3-540-59421-5(soft)
1. Geodesy--Mathematics--Congresses. I. Sanso, F. (Fernando),
1945- II. Title. III. Series: International Association of
Geodesy symposia; symposium 114.
QB283.H67 1994
526' . 1--dc20 95.-33018
CIP
For infonnation regarding symposia volumes 101 and onward contact:
Springer-Verlag GmbH & Co. KG
Heidelberger Platz 3
0-14197 Berlin, Gennany
For earlier volumes contact:
Bureau Central de I' Association Intemationale de Geodesie
2, Avenue Pasteur, F-94160 Saint-Mande, France
The papers presented in this volume are the result of the Third Hotine-Marussi Symposium on Mathematical Geodesy, held in L'Aquila,
italy, May 30-June 3,1994, underthe sponsorship of the lAG
ISBN-13:978-3-540-59421-5 e-ISBN-13:978-3-642-79824-5
DOl: 10.1007/978-3-642-79824-5
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FOREWORD
The III Hotine-Harussi Symposium has been held in L'Aquila (Italy) from
Hay 30 to June 3, 1994. It is the XI Hotine Symposium on Hathematical
Geodesy, following the geodetic tradition. I think there is little doubt
that all the main fields of fruitful research in theoretical geodesy have
been touched upon during the Symposium.
Successful and new results have been presented in the field of
relativistic geodesy, mapping, in all its misterious and most fascinating
advanced forms, approximation theory, random fields, boundary value
problems, inverse gravimetric problem, spectral, Fourier and wavelets
analysis, satellite geodesy, etc.
So the scientific "flow" has been intense and duly supported by the
social events, facilitated by the perfect organization of the Local
Committee, as well as by the warm hospitality of the Faculty of
Engineering of the University of L' Aquila, also supported by the local
STET School entitled to Guglielmo Reiss Romoli.
In spite of the very positive profile of the results certified by the
present proceedings in the group of the elders of geodesy, to which I
belong (not for scientific merits but just for my age), a doubt has
become more and more evident; in the era of inflation of scientific
symposia is it better to do like that, or it could be more useful to
younger people to recover the original pioneering spirit of a full
horizon discussion on theoretical problems? This is a challenging
question for the future.
Fernando Sanso
v
CONTENTS
Foreword
Report on the III Hotine-Marussi Symposium 1
(B. Benciolini)
Monday, Hay 30, 1994
The Newton Form of the Geodesic Flow on S~ and EA,B
in Maupertuis Gauge 3
(R.J. You, E. Grafarend)
The Lie Series Describing the Geodesic Flow on S~ and EA,B 5
(E.W. Grafarend, R. Syffus)
Conformal Structures and Reference Frames in the Post-Newtonian
Approximation to General Relativity 6
(D.S. Theiss)
3D Linear Similarity Coordinate Transformation Between a
Global Geodetic System and a Local Geodetic System Without
Local Ellipsoidal Heights 8
(E. Grafarend, F.I. Okeke)
Application of Moebius Barycentric Coordinates (Natural
Coordinates) for Geodetic Positioning 9
(W. Pachelski, E.W. Grafarend)
DEM Generation with ERS-1 Interferometry 19
(C. Prati, F. Rocca)
Fundamental GPS Network in Lithuania 27
(K. Borre, P. Petroskevicius)
The Rotation of the Celestial Equatorial System With the
So-called "Non-rotating Origin" 32
(B. Richter)
On the GPS Double-difference Ambiguities and Their Partial
Search Spaces 39
(P.J.G. Teunissen)
The Exact Solution of the Nonlinear Equations of the 7-parameter
Global Datum Transformation C7(3) 49
(E. Grafarend; F. Krumm)
VII
GPS - Spacetime Observables 50
(V.S. Schwarze)
Tuesday, Hay 31, 1994
The Optimal Universal Transverse Mercator Projection 51
(E. Grafarend)
The Generalized Mollweide Projection of the Biaxial Ellipsoid 52
(E. Grafarend, A. Heidenreich)
The Hotine Oblique Mercator Projection of E2 53
(J. Engels, E. Grafarend) a,b
The Embedding of the Plumbline Manifold: Orthometric Heights 54
(E. Grafarend, R.J. You)
Inverse Cartographic Problems 56
(B. Marana, F. Sanso)
Accuracy of Orbit Computation for Geodetic Satellites: the
Ordered and the Chaotic Case 71
(A. Milani)
The Short-arc Approach to Laser Ranging Analysis 83
(S. Usai, M. Carpino, A. Milani, G. Catastini, A. Rossi)
Orbital Injection Analysis for Twin LAGEOS Satellites in
Supplementary Orbits and the Measurement of the Lense-Thirring
Gravitomagnetic Effect 92
(F. Vespe, 1. Anselmo)
Determination of the Gravity Field from Satellite Gradiometry
- A Simulation Study - 102
(M. Belikov, M. van Gelderen, R. Koop)
New Wavelet Methods for Approximating Harmonic Functions 112
(W. Freeden, M. Schreiner)
Satellite Gradiometry - A New Approach 122
(W. Freeden, M. Schreiner)
Satellite Orbit Geometry Under Nonconservative Forces 140
(E. Grafarend, R.J. You)
Spherical Cap Models of Laplacian Potentials and General Fields 141
(A. De Santis, C. Falcone)
Solving the Inverse Gravimetric Problem: On the Benefit of Wavelets 151
(L. Ballani)
Integrated Inverse Gravimetric Problems 162
(R. Barzaghi)
\1111
Wednesday. June 1. 1994
Mathematical Statistics for Spatial Data; the Use of
Geostatistics for Geodetic Purposes 184
(A. Stein)
On the Reconstruction of Regular Grids from Incomplete,
Filtered or Unevenly Sampled Band-limited Data 204
(M.G. Sideris)
Non-parametric Statistics and Bootstrap Methods for Testing
the Data Quality of a Geographic Information System 214
(F. Crosilla, G. Pillirone)
The Effects of Fuzzy Weight Matrices on the Results of Least
Squares Adjustments 224
(H. Kutterer)
On Some Alternatives to Kalman Filtering 235
(B. Schaffrin)
Chaotic Behaviour in Geodetic Sensors and Fractal Characteristics
of Sensor Noise 246
(Z. Li, K.-P. Schwarz)
Discriminant Analysis to Test Non-Nested Hypotheses 259
(B. Betti, M. Crespi, F. Sanso, D. Sguerso)
Thursday, June 2, 1994
On Stochastic Boundary Conditions for Laplace Equation 272
(Yu.A. Rozanov)
A Series Solution for Zagrebin's Problem 280
(J. Otero, J. Capdevila)
Solution of the Geodetic Boundary Value Problem in Spectral Form 294
(M.S. Petrovskaya)
Gravity Reductions Versus Approximate B.V.P.s 304
(F. Sanso, G. Sona)
Classical Methods for Non-spherical Boundary Problems in
Physical Geodesy 315
(P. Holota)
On a Scalar Fixed Altimetry - Gravimetry Boundary Value Problem 325
(W. Keller)
Non-linear Effects in the Geodetic Version of the Free Geodetic
Boundary Value Problem Based on Higher Order Reference Fields 332
(B. Heck, K. Seitz)
IX
Perturbation Expansion for Solving the Fixed Gravimetric
Boundary Value Problem 340
(R. Klees)
Application of the Concept of Biorthogonal Series to a Simulation
of a Gradiometric Mission 350
(A. Albertella, F. Migliaccio, F. Sanso)
Local Geoid Accuracies from Different Kinds of Data 362
(A. Albertella, F. Sacerdote)
On Calculating the Attraction of the Topographic-Isostatic Masses 372
(H.A. Abd-Elmotaal)
The Fast Hartley Transform Applied to the Iberian Geoid Calculation 381
(M.J. Sevilla, G. Rodriguez-Velasco)
The Impact of the Gravitational Potential of Topographic and
Isostatically Adjusted Masses on the Geoid 391
(J. Engels, E. Grafarend, P. Sorcik)
The Topographic Potential with Respect to the Reference Ellipsoid 392
(M. Feistritzer)
Friday, June 3, 1994
On the Application of Wavelets in Geodesy 394
(F. Barthelmes, L. Ballani, R. Klees)
Geodetic Applications of Wavelets: Proposals and Simple
Numerical Experiments 404
(L. Battha, B. Benciolini, P. Zatelli)
How Accurately Do We Know the Marine Geoid in Shallow Water Regions? 413
(M. Metzner, S. Dick, E.W. Grafarend, M. Stawarz)
Rank Deficiency of Altimetry-Gravimetry SST Determination 429
(R. Barzaghi, M.A. Brovelli, F. Sanso)
List of participants 441
x
Report on the:
III HOTlNE-MARUSSI SYMPOSIUM
on
MATHEMATICAL GEODESY
L' Aquila, Italy
May 30 - June 3, 1994
The III Hotine-Marussi Symposium on Mathematical Geodesy was held in
L'Aquila (Italy), from May 30 to June 3, 1994. It was organized by Prof.
F. Sansb, president of lAG Sect. IV, with the cooperation of the local
host Prof. B. Betti. The Symposium was sponsored by the International
Association of Geodesy, the International Union of Geodesy and
Geophysics, the University of L'Aquila and the CARISPAQ Foundation.
The symposium was attended by more than 70 participants from 15
countries; about 60 papers were presented, covering all the major aspects
of mathematical geodesy and, in particular, the fields of celestial
mechanics, boundary value problems, gravity field modelling, estimation
theory, approximation theory, positioning and inverse problems.
The presented papers treated both classical subjects revisited in a
modern way and topics which more recently entered into the field of
interest of geodesy. Among this I want to mention the theory of chaotic
systems, the theory of stochastic BVP and the use of wavelets in
approximation theory.
Five invited relations were presented during the symposium.
T. Krarup presented a speech entitled "Is Geodesy Possible?", treating
the dilemma of the reconstruction of continuous fields from discrete
measurements. The final answer to the question of the title was
affirmative, encouraging geodesists not to look for another job!
The other invited papers were: "SAR Interferometry" by F. Rocca and C.
Prati, "Accuracy of Orbit Computation for Geodetic Satellites: the
Ordered and the Chaotic Case" by A. Milani, "Mathematical Statistics for
Spatial Data: the Use of Geostatistics for Geodetic Purposes" by A. Stein
and "Boundary Problems for Random Fields" by Y. Rozanov.
It must be mentioned that the presence of specialists of disciplines
1
different from geodesy strongly enriched the works of the symposium and
was appreciated by all the participants.
The scientific work was complemented by a social dinner and an
interesting tour in the region surrounding L'Aquila.
The proceedings will be published by Springer-Verlag.
Battista Benciolini
2