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  1. 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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  • Modeling the Heavens: Sphairopoiia_ and Ptolemy’s _Planetary Hypotheses.Elizabeth Hamm - 2016 - Perspectives on Science 24 (4):416-424.
    Ptolemy wrote the Planetary Hypotheses for both astronomers and instrument-makers. Most studies of this text concentrate on its meaning for the former, but there remain many questions surrounding its meaning for the latter.1 This article investigates the purpose of Ptolemy’s Planetary Hypotheses in light of what he says about instrument-making. It takes up the following questions: what kind of instrument does Ptolemy describe? And, could such an instrument have been constructed? I argue that he did not have one specific design (...)
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  • 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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