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Theory of Satellite Geodesy: Applications of Satellites to Geodesy |  |
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Theory of Satellite Geodesy: Applications of Satellites to Geodesy | |
The main purpose of this classic text is to demonstrate how Newtonian gravitational theory and Euclidean geometry can be used and developed in the earth's environment. The second is to collect and explain some of the mathematical techniques developed for measuring the earth by satellite.
Book chapters include discussions of the earth's gravitational field, with special emphasis on spherical harmonies and the potential of the ellipsoid; matrices and orbital geometry; elliptic motion, linear perturbations, resonance, and other aspects of satellite orbit dynamics; the geometry of satellite observations, including time and precise definition of coordinates, and observability conditions; and statistical implications and date analysis.
The completion of a first-year course in physics and a first-year course in calculus is assumed.
TABLE OF SYMBOLS
TABLE OF NUMERICAL VALUES
1 THE EARTH'S GRAVITATIONAL FIELD
1.1 Potential Theory
1.2 Spherical Harmonics
1.3 Potential of the Ellipsoid
2 MATRICES AND ORBITAL GEOMETRY
2.1 General
2.2 Matrix Notation
2.3 Orbital Geometry
3 SATELLITE ORBIT DYNAMICS
3.1 Elliptic Motion
3.2 Perturbed Equations of Motion
3.3 Conversion of Spherical Harmonic Disturbing Function
3.4 Linear Perturbations
3.5 Nonlinear Perturbations
3.6 Resonance
3.7 Miscellaneous Effects
3.8 Summary
4 GEOMETRY OF SATELLITE OBSERVATIONS
4.1 General
4.2 Coordinate Transformations
4.3 Differential Relationships and Observation Equations
4.4 Observation Equations: Directional
4.5 Observation Equations: Range Rate and Range
4.6 Time and Precise Definition of Coordinates
4.7 Observability Conditions
5 STATISTICAL IMPLICATIONS
5.1 General
5.2 Time Series
5.3 Quadratic Sum Minimization
6 DATA ANALYSIS
6.1 Simultaneous Observations
6.2 Orbital Observations: Short-Term
6.3 Orbital Observations: Long-Term
INDEX
网友对Theory of Satellite Geodesy: Applications of Satellites to Geodesy的评论
这本书很不错，值得推荐
This is a nice treatse on Satellite Geodesy and a great reference for Orbital Mechanics. Well-organized with excellent derivations. It would be nice if there were occasionally a few more steps or some more explanatory text, but as a compact, thorough monograph it fills the bill.
There are a couple of typos and cautions for readers (and programmers) in Table 1 of the inclination functions. Denominators in the Table are a little ambiguous -- they generally refer to division of the whole term, and NOT the argument of the trig functions. There are 2 typos in the table:
l=4, m=2, p=0 READS "...sin(i)..." and the sin function SHOULD be squared.
l=4, m=2, p=2 READS "...+..." in the function and SHOULD be a minus sign instead.
The expression for the inclination function immediately before the Table 1 is correct and while a little difficult to implement, it will reproduce the Table when programmed correctly.
The section on Orbital Resonances is valuable, and seldom seen in other texts. In my job, I had to generalize Kaula's example for Geosynch spacecraft to the GPS satellites. It would have been nice to have more "hints" on how to do this, but there was enough information here -- I just had to "dig it out".
I studied with Bill Kaula from 1964-66 at UCLA and used this text extensively at that time and later while doing research and teaching in satellite geodesy. This thin book presents the derivations and details of analytic methods for calculating satellite orbits, and determining Earth's gravitational field from observations of satellites. Numerical methods are now much more accurate, but "number crunching" does not provide nearly the insights that analytic analyses can. If you want insight into satellite orbit mechanics, this is the book to read. The first edition contained many typos and other errors which have been corrected in the Dover edition. The book provides an outstanding entry into the field of satellite geodesy. Math and physics at the upper division college level are required.
Bruce C. Douglas
This book answers the basic questions regarding satellites geodesy and is a good refresh for the subject. Also, the book is a quick read.
A reprint of this book is long overdue because I know several people who have a crumpled photocopy of the original addition and many others who have searched for a used copy without success. This book is a must read for anyone with more than a passing interest in astrodynamics and especially gravity field modeling.
The book begins with a concise description of the earth's gravity field in terms of potential theory. After a quick refresher on matrices and orbital elements, Kaula proceeds to describe the motion of an artificial satellite. In particular, he provides a detailed analysis of gravity field perturbations upon the evolution of the orbital elements including secular effects and resonance effects. The final chapters are concerned with modeling observations used to track satellites, using the observations to estimate the true motion of the satellite, and estimating geodetic information from the motion of the satellite.
Although first published in 1966, this book remains one of the best volumes available on satellite theory and geodesy. It is still used as a reference and textbook by many if not most experts in the field. However, the work is certainly not perfect. Kaula gives a concise and complete coverage of the subject, but it comes at the cost of loads of equations with little explanatory text. This can make it somewhat difficult to follow. It is certainly not written as a popular guide for the general public. Nevertheless, many astrodynamicists are delighted to have this volume available from the good folks at Dover.
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