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Theory of Satellite Geodesy: Applications of Satellites to Geodesy (Dover Earth Science) Paperback – 28 Mar 2003
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Bruce C. Douglas
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".
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.