Orbital Mechanics

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Vladimir A. Chobotov
AIAA, 2002 - Artificial satellites - 455 pages
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The book is an excellent text on the foundations of orbit mechanics. This is immediately obvious, especially when one notices the tight adherence to the central force approximation of the gravitational field of the sun, planets etc. Basically, this book repeats the unconscious claim that representing physical phenomena with insupportable rules and methods instead of using the conventionally accepted law of gravitation continues to be the way to do this work today. This avoids the challenging problems of employing product intergral represenations of the asundry gravitational fields of the sun, planets, moons etc. The kernel function of such product integral representations is the familiar inverse distance squared function. One, finally, has to invert this first kind integral equation with today's unreliable methods to invert these ill-posed problems.
However, collapsing the representation of these asundry gravitational fields to a central force fields with one parameter is widely accepted. Furthermore, such adherence to this naive approach dramatically adds to the cost of tracking satellites and maneuvering these satellites so as to maintain functionality. People claim they want to save costs, but when it gets down to the nitty-gritty, they back-off. And, whenever asteroids or comets are sighted on critical near earth trajectories, I suggest that all of pray or whatever tight situation behavior we choose to employ because the casual rejection of the rigorous application of scientific laws and numerical methods will not protect us.
The book provides a fine review of the classical methods that were developed in the centuries since Newton. I myself would prefer a more casual presentation rather than the elaborate development of methods I regard as being on their way to extinction.
Dennis Phillips
 

Contents

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Page 4 - I do not know what I may appear to the world ; but to myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
Page 2 - Sun at one of the foci; (2) the radius vector of each planet sweeps out equal areas in equal times; (3) the squares of the periods of the planets are proportional to the cubes of their mean distances from the Sun.
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References to this book

Satellite Geodesy
Günter Seeber
Limited preview - 2003
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