The Conical Sundial from Thyrrheion – Reconstruction and Error Analysis of a Displaced Antique Sundial |
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Authors: | Manfred Hüttig |
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Institution: | Berliner Str. 6?38300 Wolfenbüttel?Germany, DE
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Abstract: | Summary The conical sundial from the museum Thyrrheion is found to be designed with cardinal parameters
geographical latitude ϕ = arc tan(3/5) = 30°57′50″
half cone angle α = arc tan(4/9) = 23°57′45″
radius at equinox r0 = 4 unciae = 98.7mm (pes monetalis)
position of the cone tip h = 18 unciae = 444.3 mm
The half cone angle is equal to the angle of the ecliptic which leads to the special case of a conical sundial with the associated
sphere being tangent at the day line of the winter solstice. The ratio of sides in the generating triangle 4:9 may thus be
interpreted as an approximation for the angle of ecliptic.
The place of finding (operation) is 10° North of the intended latitude (design). The error of the sundial's indications due
to the displacement are analyzed.
(Received July 15, 2000) |
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