Mathematical Theory of Stellar Eclipses

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Springer Science & Business Media, Dec 6, 2012 - Science - 172 pages
ASTRONOMICAL ECLIPSE PHENOMENA In looking over the long history of human science from time immemorial to our own times, it is impossible to overestimate the role played in it by the phenomena of eclipses of the celestial bodies-both within our solar system as well as in the stellar universe at large. Not later than in the 4th century B. C. , the observed features of the shadow cast on the Moon by the Earth during eclipses led Aristotle (384-322 B. C. ) to formulate the first scientific proof worthy of that name of the spherical shape of the Earth; and only somewhat later, the eclipses of the Sun provided Aristarchos (in the early part of the 3rd century B. C. ) or Hipparchos (2nd half ofthe same century) with the geometric means to ascertain the distance which separates the Earth from the Sun. In the 17th century A. D. (in 1676, to be exact) the timings of the eclipses of the satellites of Jupiter by their central planet enabled Olaf Romer to discover that the velocity with which light propagates through space is finite.
 

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Contents

INTRODUCTION
1
LIGHT CHANGES DUE TO ECLIPSES
10
LOSS OF LIGHT AS INTEGRAL TRANSFORMS
41
THEORETICAL PHOTOMETRY OF DISTORTED
69
SOLUTION FOR ELEMENTS
97
INVERSE PROBLEM FOR DISTORTED ECLIPSING
119
LABORATORY SIMULATIONS
150
REFERENCES
157
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