A Modern Almagest: An Updated Version of Ptolemy’s Model of by Richard Fitzpatrick

By Richard Fitzpatrick

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Extra info for A Modern Almagest: An Updated Version of Ptolemy’s Model of the Solar System

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ZYC is an altitude circle. terrestrial latitude of the observation site. Now, λ and α satisfy Eq. 39), as well as the above equation. Thus, eliminating α between these two equations, we obtain sin λ sin ǫ . 43) cos L This expression gives the azimuth, A, of the ascending point of the ecliptic as a function of its ecliptic longitude, λ, and the latitude, L, of the observation site. For instance, suppose that we wish to find the azimuth of the point at which the sun rises on the eastern horizon at an observation site of terrestrial latitude +60◦ , on a day on which the sun’s ecliptic longitude is 08PI00.

2: Declinations and right ascensions of points on the ecliptic circle (a). 3: Declinations and right ascensions of points on the ecliptic circle (b). 4: Terrestrial climes in the earth’s northern hemisphere. The superscripts h, m, and d stand for hours, minutes, and days, respectively. The symbols S and N indicated that the upper transit of the sun occurs to the south and north of the zenith, respectively. 5: Right ascensions of the ecliptic for latitude 0◦ . 6: Oblique ascensions of the ecliptic for latitude +10◦ .

ZYC is an altitude circle. terrestrial latitude of the observation site. Now, λ and α satisfy Eq. 39), as well as the above equation. Thus, eliminating α between these two equations, we obtain sin λ sin ǫ . 43) cos L This expression gives the azimuth, A, of the ascending point of the ecliptic as a function of its ecliptic longitude, λ, and the latitude, L, of the observation site. For instance, suppose that we wish to find the azimuth of the point at which the sun rises on the eastern horizon at an observation site of terrestrial latitude +60◦ , on a day on which the sun’s ecliptic longitude is 08PI00.

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