Foundations of Differential Geodesy

✍ Scribed by Professor Dr. Joseph Zund (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1994
• Tongue: English
• Leaves: 384
• Edition: 1
• Category: Library

✦ Synopsis

Differential geodesy is concerned with the geometry of the gravity field of the Earth, which is of fundamental importance to both theoretical geodesy and geophysics. This monograph presents a unified treatment of the foundations of differential geodesy as proposed originally by Antonio Marussi and Martin Hotine in their work.
The principal features of the Marussi-Hotine approach to theoretical aspects are given in the first five chapters (based on leg calculus), while the last five chapters are devoted to the fundamental ideas of the Marussi and Hotine theory. The text includes practical problems and is intended for use by research geodesists, graduate students in geodesy, and theoretical geophysicists.

✦ Table of Contents

Front Matter....Pages I-XVI
The Role of Coordinates in Geodesy and Geometry....Pages 1-44
The Ricci Calculus....Pages 45-72
The Cartan Calculus....Pages 73-104
The General Leg Calculus....Pages 105-138
Gaussian Differential Geometry....Pages 139-196
Basic Equations of Differential Geodesy....Pages 197-226
The Fundamental Theorem of Differential Geodesy....Pages 227-254
Algebraic Theory of the Marussi Tensor....Pages 255-271
Conformal Differential Geodesy....Pages 273-302
Coordinates in Differential Geodesy....Pages 303-343
Back Matter....Pages 345-373

✦ Subjects

Geophysics/Geodesy