Celestial mechanics aims to predict the motion of every real object in outer space, no matter what causes changes in its orbit. The motion of most planets and natural satellites can be successfully described by conservative celestial mechanics and problems can be studied within the formalism of Hamiltonian mechanics. The few exceptions which experience significant non-gravitational effects call for only very small corrections to the purely gravitational theory. All satellites experience non-gravitational perturbations to their orbits. However, factors such as the relatively high area-to-mass ratio of spacecraft compared with that of even a tiny asteroid significantly increase the relative effect of non-gravitational to gravitational forces on the orbits of artificial satellites. When the orbital tracking is carried out by very accurate techniques, the need arises to model, or at least to estimate, the effects of phenomena such as radiation pressure from solar light and from Earthshine or drag caused by neutral and charged particles. This book presents the basic ideas of the physics of the main non-gravitational perturbations and the mathematics of the methods required to compute their orbital effects. The authors convey to the reader the relevance of the different problems that need to be solved to achieve a given level of accuracy in the orbit determination and in the recovery of geophysically significant parameters. The book will enable readers to assess for themselves the possible geodetic uses of given space missions, or maybe to propose a new one, or to propose a combined geodetic use for a mission envisaged for other purposes. The Authors Andrea Milani is a mathematician, Anna Maria Nobili ad Paolo Farinella are physicists. They began working together in celestial mechanics and satellite geodesy in 1978, when they formed, with others, the Space Mechanics Group now based at the Department of Mathematics of the University of Pisa, Italy. By travelling to many research centres in Europe and in the USA, and by presenting several proposals for space-based experiments to the European Space Agency and to the Italian Space Program, they have learned how to assess the difficulty of an orbit determination and how often the problem is due to poor modelling of very-subtle non-gravitational effects, In this book they try to make their know-how available to others, as well as teaching some basic tools of celestial mechanics on the basis of their experience in basic research. A Milani and A M Nobili also work on the stability of the solar system, P Farinella also studies the dynamics and physics of the asteriod belt.

This book covers the entire field of satellite geodesy and is intended to serve as a textbook for advanced undergraduate and graduate students, as well as a reference for professionals and scientists in the fields of engineering and geosciences such as geodesy, surveying engineering, geomatics, geography, navigation, geophysics and oceanography. The text provides a systematic overview of fundamentals including reference systems, time, signal propagation and satellite orbits, together with observation methods such as satellite laser ranging, satellite altimetry, gravity field missions, very long baseline interferometry, Doppler techniques, and Global Navigation Satellite Systems (GNSS). Particular emphasis is given to positioning techniques, such as the NAVSTAR Global Positioning System (GPS), and to applications. Numerous examples are included which refer to recent results in the fields of global and regional control networks; gravity field modeling; Earth rotation and global reference frames; crustal motion monitoring; cadastral and engineering surveying; geoinformation systems; land, air, and marine navigation; marine and glacial geodesy; and photogrammetry and remote sensing. This book will be an indispensable source of information for all concerned with satellite geodesy and its applications, in particular for spatial referencing, geoinformation, navigation, geodynamics, and operational positioning.

Introduction to GNSS Geodesy is a concise reference for beginners and experts in GNSS-based satellite geodesy. It covers all of the important concepts in almost a third of the space of the other GNSS books. Th e book begins with a case study in Augmented Reality to set the stage for what is to come and then moves on to the key elements of GNSS geodesy that make accurate and precise geopositioning possible. For example, it is important to understand the geodetic reference systems and the associated GNSS data processing strategies that enable both accurate and high-precision geopositioning. Chapter 2 gives an overview of GNSS constellations and signals, highlighting important characteristics. Chapter 3 then introduces reference systems in geodesy, covering such topics as time systems, geodetic datums, coordinate systems, coordinate conversions and transformations, and International Terrestrial Reference Frame. Th is lays the framework for the rest of the book. Chapters 4 and 5 dig deep into mathematical formulation of GNSS parameter estimation and observation models. All the concepts are presented clearly and concisely, with diagrams to assist reader comprehension. Chapter 6 describes Continuously Operating Reference Station (CORS) networks and their role in geodesy and definition of reference frames. Various global and regional CORS networks are presented in this section. Th e chapter also covers GNSS data and common formats such as RINEX and RTCM. Chapter 7 introduces the whole cycle of GNSS data processing, including preprocessing, ambiguity fixing, and solution reprocessing methods as commonly used in both epoch solutions and time series data. Th e book concludes with appendices on orbit modelling, GNSS linear combinations, application examples, and an example linear model.

The third edition of this well-known textbook, first published in 1980, has been completely revised in order to adequately reflect the drastic changes which occured in the field of geodesy in the last twenty years. Reference systems are now well established by space techniques, which dominate positioning and gravity field determination. Terrestrial techniques still play an important role at local and regional applications, whereby remarkable progress has been made with respect to automatic data aquisition. Evaluation methods are now three-dimensional in principle, and have to take the gravity field into account. Geodetic control networks follow these developments, with far-reaching consequences for geodetic practice. Finally, the increased accuracy of geodetic products and high data rates have significantly increased the contributions of geodesy to geodynamics research, thus strengthening the role of geodesy within the geosciences. The present state of geodesy is illustrated by recent examples of instruments and results. An extensive reference list supports further studies.

Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 15. This monograph contains 34 communications presented at the Third International Symposium on the Use of Artificial Satellites for Geodesy in 1971, and 4 invited papers on subjects that complement the others and provide continuity. All contributions represent the most recent findings in the theoretical and applied fields of satellite geodesy, including new instrumentation (satellite sensors and ground equipment) of potential use in satellite geodesy. The two preceding symposiums were held at Washington, D.C., in 1962 and at Athens, Greece, in 1965. The Proceedings of the first were published by North-Holland Publishing Company, Amsterdam, in 1963, and the Proceedings of the second by the National Technical University, Athens, in 1967. The prime mover behind both was George Veis, and his continuing dedication to this subject was in large measure responsible for scheduling this third symposium.

In 1954, Antonio Marussi started a series of symposia in Venice. The first three of these covered the entire theoretical definition of 3-D geodesy as delineated in discussions with renowned contemporary scientists, particularly Martin Hotine. After Marussi's death, the symposia were finally named the Hotine-Marussi Symposia and were continued in Italy. The Third Hotine-Marussi Symposium was held in L'Aquila from May 30 to June 3, 1994. It provided geodesists interested in theory and methodology with the opportunity to discuss their theoretical achievements, as well as new topics in the geodetic sciences. This book thus provides an updated overview of the main geodetic theories in various fields of application.

Based on an international symposium held in Tokyo, the volume combines papers in the fields of gravity, geoid and marine geodesy. Special emphasis is placed on the use of gravity in modeling tectonic processes and the problems of geophysical inversion. In addition, absolute and relative gravity measurement in static and airborne mode, satellite altimetry, geopotential modeling, and global geodynamics are dealt with. The field of marine geodesy includes contributions on sea level change, seafloor deformation and mapping, sea surface positioning, electronic charting, and datum transformations.