The number of hours of daylight on a given day at a giyen
point on the Earth's surface depends on the latitude of the
point, the angle y through which the Earth has moved in its
orbital plane during the time period from the vernal equinox
(March 21), and the angle of inclination of the Earthi's
axis of rotation measured from ecliptic north (Ⓡ = 23.45%).
The number of hours of daylighth can be approximated by
the formula
124,
D> 1
li = {12+ iš sin-'D, [D] < 1
D<-1
where
sin o sin y tan a
D=
VI - sin’ o sin’y
and sin-' D is in degree measure. Given that Fairbanks,
Alaska, is located at a latitude of X = 65° N and also that
y = 90° on June 20 and y = 270º on December 20, ap-
proximate
(a) the maximum number of daylight hours at Fairbanks to
one decimal place
0,
(b) the minimum number of daylight hours at Fairbanks to
one decimal place.
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