Intrinsic Geodesy

ISBN-13: 9783642702457 / Angielski / Miękka / 2011 / 220 str.

A. Marussi; W. I. Reilly

Opis

The science of Geodesy has undergone far-reaching changes in the last half century. The impact of new technology, from electromag netic distance measurements to the use of artificial satellites, has been great, and is still largely to be felt. These changes have forced the practitioners of the ancient art of Earth measurement to alter their way of thinking about the space that surrounds us, something fundamentally more difficult than absorbing a new technology. A key influence in this modem change in geodetic thinking has been the work of Antonio Marussi, in his scientific publications from 1947 onwards, through his students and collaborators at the Uni versity of Trieste, and in the series of symposia on three-dimensional Geodesy which he organised with his great friend and collaborator, Martin Hotine. His influence on the latter, stemming from their first meeting at the General Assembly of the International Association of Geodesy in Oslo in 1948, was remarkable in itself, leading as it did to the ultimate publication of Hotine's Mathematical Geodesy in 1969."

Spis treści

I Fundamentals of Intrinsic Geodesy.- 1 From Classical Geodesy to Geodesy in Three Dimensions (1959).- 2 Foundations of Intrinsic Geodesy (1951).- A Absolute Approach.- B Local Astronomical Approach.- C Local and General Geodetic Approach.- D Applications.- 3 Generalized Legendre Expansions for Any Curve Whatever, Traced Out Upon Any Surface Whatever (1950).- 4 Generalized Legendre Expansions in Space (1950).- 5 Generalized Legendre Expansions for Any Curve Whatever in Space (1950).- 6 The Tidal Field of a Planet and the Related Intrinsic Reference Systems (1979).- 1 The Gravity Field.- 2 The Tidal Field.- 3 The Cardinal and the Canonical Triads.- 4 The Tidal Triad.- 5 The Centrifugal Field.- 6 Reference Frames; Ricci’s Coefficients.- 7 The Cardinal Frames.- 8 The Canonical Frame.- 9 The Tidal Frame.- II Structure of the Gravity Field and Laplace’s Equation.- 1 On the Curvature and Torsion of the Gravity Field (1952).- 2 Generalization of Dalby’s Theorem for Any Surface Whatever (1952).- III Principles of Intrinsic Geodesy Applied to the Normal Reference Field.- 1 Principles of Intrinsic Geodesy Applied to the Field of Somigliana (1950).- 2 The First Fundamental Problem of Geodesy Developed for the Field of Somigliana (1950).- 3 Differential Parameters in the Normal Gravity Field (1980).- IV Mapping of the Actual Gravity Field onto the Normal Reference Field.- 1 On the Representation of the Geoid on the Ellipsoid (1951).- 2 Some Remarks on the Use of Conformal Representations in Three-Dimensional Geodesy (1967).- 3 On the Three-Dimensional Computation of Geodetic Networks and Anomalies (1973).- 4 The Adjustment of Geodetic Networks in the Three- Dimensional Ellipsoidal Model Space of Somigliana (1981).- V Mapping Between Surfaces.- 1 Some Integral Properties of the Conformal Representations of Surfaces on Surfaces (1951).- 2 The a Priori Determination of the Modulus of Linear Deformation in the Gauss Conformal Representation (1951).- 3 Representations Between Surfaces Defined by Means of the Quadratic Form Which Determines Their Modulus of Deformation (1957).- VI Propagation of Light in Continuous Isotropic Refracting Media.- 1 An Analogy Between the Laws of Propagation of Light in Continuous Isotropic Refracting Media and Conformal Representations (1953).- 2 The Torsion of a Ray of Light in a Continuous Isotropic Refracting Medium (1953).- VII Posthumous Work.- The Motion of a Free Particle and of a Spherical Pendulum in the Microgravitational Field of a Gravitationally Stabilized Satellite in Circular Orbit in a Central Field.- Appendix. Notations of Vector Analysis — the Vectorial Homographies of Burali-Forti and Marcolongo (W. I. Reilly).- Bibliography of Prof. A. Marussi.- Index of Abbreviations (H. Hornik).- Antonio Marussi: 1908–1984, A Personal History (H. Moritz).- Name Index.