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Historical studies

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The following formula was employed :<br />

a = Right ascension of Sirius.<br />

h = Declination of Sirius.<br />

—<br />

e = Obliquity of the ecliptic.<br />

T = Sidereal time of the star rising.<br />

O = Sun's longitude at Sothic rising.<br />

Then<br />

Then<br />

cos {a-T) = Tan S Tan 30°,<br />

whence the value of T.<br />

cos (90+10° 48') = sin 30° sin e sin O +cos 30°<br />

sin T cos € sin O + cos 30° cos T cos 0,<br />

whence © the sun's longitude is obtained.<br />

16. Tabic of Sothis and \st TJwth.<br />

Year<br />

THE HELIACAL RISING OF SIRIUS<br />

Column 7 gives the day of the Julian period of the<br />

Sothic rising calculated with the assistance of Schram's<br />

" Hilfstafeln fiir Chronologic " in vol. 45 of the<br />

Denkschriften of the Vienna Academy, the days<br />

before the commencement of the Julian period,<br />

A.D.— 4712, being indicated by the negative sign.<br />

Column 8 gives the corresponding date in the<br />

Julian calendar.<br />

Column 9 gives the day of the Julian period of the<br />

1st Thoth calculated by multiples of 365 from the day<br />

of the observation of Censorinus, July 20 A.D. + 139,<br />

as determined by Oppolzer.<br />

Column 10 gives the corresponding date in the<br />

Julian calendar.

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