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These tables for A.D. 2 to A.D. 1649 are an extension, with some improvements, of earlier ones for 601 B.C. to A.D. 1. As before, they give the geocentric positions (tropic celestial longitudes & latitudes, i.e. with respect to the mean equinox of date), in units of 0 degrees.01 for the Sun & planets, & 0 degrees.1 for the Moon, at 16h Universal Time - 4 P.M. Greenwich Civil Time - 7 P.M. local mean time of 45 degrees East longitude (Babylon), on the indicated dates, all in the Julian calendar, hence for Julian dates 5n + 1/6 for the Moon, Mercury, & Venus, & 1-n + 1/6 for the Sun, Mars, Jupiter, & Saturn. The same adaptation of the theories of Leverrier, Gaillot, & Hansen, with modified elements by Schoch, was used as before, except as noted below. The chief change has been to improve the positions of Jupiter & Saturn. Tables.
This is a supplement to the planetary, lunar and solar tables produced by Bryant Tuckerman (1962, 1964). These tables have proved an invaluable aid to historians of astronomy. An important usage is the dating of ancient and medieval astronomical observations, but the tables also have wide application in determining the accuracy of early measurements and calculations. This supplementary volume owes its origin to the discovery by the authors of significant errors in Tuckerman's tabular positions of Mars. They made a comparison between Tuckerman's positions for the Sun and planets and those computed from an integrated ephemeris. Only in the case of the longitude of Mars were errors found to be serious.
From the original hard cover edition: In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers into their primes. Thus an ancient number-theory concept now plays a crucial role in communication among millions of people who may have little or no knowledge of even elementary mathematics. Hans Riesel’s highly successful first edition of this book has now been enlarged and updated with the goal of satisfying the needs of researchers, stude...
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