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  1. The gravitational influence of Jupiter on the Ptolemaic value for the eccentricity of Saturn.Christián C. Carman - 2021 - Archive for History of Exact Sciences 75 (4):439-454.
    The gravitational influence of Jupiter on Saturn produces, among other things, non-negligible changes in the eccentricity of Saturn that affect the magnitude of error of Ptolemaic astronomy. The value that Ptolemy obtained for the eccentricity of Saturn is a good approximation of the real eccentricity—including the perturbation of Jupiter—that Saturn had during the time of Ptolemy's planetary observations or a bit earlier. Therefore, it seems more probable that the observations used for obtaining the eccentricity of Saturn were done near Ptolemy’s (...)
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  • Tycho Brahe’s Calculi ad Corrigenda Elementa Orbitae Saturni and the technical aspects of his planetary model of Saturn.Christián C. Carman - 2020 - Archive for History of Exact Sciences 74 (6):565-586.
    Tycho Brahe was not just an observer; he was a skilled theoretical astronomer, as his lunar and solar models show. Still, even if he is recognized for proposing the Geoheliocentric system, little do we know of the technical details of his planetary models, probably because he died before publishing the last two volumes of his Astronomiae Instaurandae Progymnasmata, which he planned to devote to the planets. As it happens, however, there are some extant drafts of his calculations in Dreyer’s edition (...)
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  • Greek angles from Babylonian numbers.Dennis Duke - 2010 - Archive for History of Exact Sciences 64 (3):375-394.
    Models of planetary motion as observed from Earth must account for two principal anomalies: the nonuniform speed of the planet as it circles the zodiac, and the correlation of the planet’s position with the position of the Sun. In the context of the geometrical models used by the Greeks, the practical difficulty is to somehow isolate the motion of the epicycle center on the deferent from the motion of the planet on its epicycle. One way to isolate the motion of (...)
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  • Current Bibliography of the History of Science and Its Cultural Influences 2005.Stephen P. Weldon - 2005 - Isis 96:1-242.
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