On the total annual heat received at each point of the Earth's surface from the Sun : and on the amount of the loss of that heat caused by radiation into space (neglecting the effect of the atmosphere) / by Samuel Haughton.

  • Haughton, Samuel.
Date:
[1878?]
Catalogue details

Licence: Public Domain Mark

Credit: On the total annual heat received at each point of the Earth's surface from the Sun : and on the amount of the loss of that heat caused by radiation into space (neglecting the effect of the atmosphere) / by Samuel Haughton. Source: Wellcome Collection.

Provider: This material has been provided by The Royal College of Surgeons of England. The original may be consulted at The Royal College of Surgeons of England.

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    But this would not answer for calculation, as H passes through 90°, at the time of the equinoxes, when tanJT becomes infinite and sinS vanishes. I therefore expand in terms of cosff as follows; and, „ 1 cos^H 1-3 coh^H 1-3-5 co^m (5) tan 5^: \/\—cos^H 1 ( cos^if 1 s//r 2 1-2 ■ cos H 1 co%*‘H 1-3 cos^H 1-3-5 cosSif 22 1-2-3 23 1-2-3-4 •&c. (6) Therefore, But, 1 1 IT cos H 2 4- cos® B- -Lco&sZf- J- cosm- &c. 24 8U 89G (7) cos H=. — tan A. tan S = tan X sin S sin X sin S cos X 1 +• Vl — siii2 S 1-3-5 sin^a 1-3-5-7 sin^a W 22 ■*‘l-2-3‘ 2® ^l-2-3-4' 2'* sin® a T3 sin^ S + &c| (8) and cos B cos X sin® a 1 sin^ a T3 in® a sin° 0 2* sin X sin a — <fec. I \ sin‘*d 1 1 ^ ~~2~~D2 22 1-2-3 2® 1-3-5 1-2-3-4 (9) Hence, finally. The heat received in one day = 2A sin X sin a {B — tan H) = 2A ^ sin X sin S + cosX sin® a 1 sin^a T3 sin® a sim 6 1 r 2 T1 + - sin® X sin® S 2 cos X sin‘‘ X sin‘‘ a 24 cos® X sin® X sin® a 80 cos® X 2 2* 1-2-3 sin® a T3 sin'’ S 9,3 1 2 1-2 2® { |l + |sin® a -f- drc. |l + <feo. 2' + &C. - (fee. ■(10)