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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    = 2Ax 365-25 Total heat received in one year 0-95910 cos\ + 0-04187 tan \ sin \ + 0-00047 tan®\ sinX + 0-000015 tan®X sinX + &c. (13) It is evident, from this equation, that -when the latitude is small, the heat received in the year varies as the cosine of the latitude. It is to be observed that equation (3), which expresses the heat received in one day, becomes illusory inside the arctic and antarctic circles, when the sun does not set; for then H (the hour of sunset) has an imaginary value. We must, therefore, compute the annual heat received inside these circles by summing the heat from the equinox till the time when the sun does not set or does not rise by equation (12) ; and adding the heat received during the time when the sun does not set. If D denote the sun’s declination, when he ceases to rise or set, equation (12), with D substituted for A, will give the heat received during the part of the year when the sun rises and sets, and the angle H is real. To this must be added the heat received during the time when the sun never sets, which may be found as follows : Referring to equations (1) and (2), we have, when the sun does not set. Total heat in one day = A zdh (14) />2tt /*2it sin X sin ldh + A! cos X cos 3 cos h dh, 0 / 0 = 2Att sin X sin 3 = 2An sin X sin A sin 1. This value must be summed through the time that the sun does not set; or, if a be the daily change in sun’s longitude. The total heat received during the time that the sun never sets = 2d7T sin X sin A (sin ^ + sin(Z +a) + sin(^ + 2a)} + &c. (15) • / 7 , ^ ” 1 \ ““('+—“) ““t = 2A -TT sin X sill A • J . a