Solar
constant
The solar constant is the amount of
incoming solar
electromagnetic radiation per unit area, measured on
the outer surface of Earth's atmosphere, in a plane
perpendicular to the rays. The solar constant includes
all types of solar radiation, not just the visible
light. It is measured by satellite to be roughly 1366
watts per square meter, though it fluctuates by about
6.9% during a year - from 1412 W/m2 in early
January to 1321 W/m2 in early July, due to
the earth's varying distance from the sun, and by a few
parts per thousand from day to day. Thus, for the whole
Earth, with a cross section of 127,400,000 km², the
power is
1.740×1017
W, plus or minus 3.5%. The solar constant is not
quite constant over long time periods either; see solar
variation. The value 1366 W/m2 is equivalent
to 1.96 calories per minute per square centimeter, which
can also be expressed as 1.96
langleys (or Ly) per minute.
The Earth receives a total amount of
radiation determined by its cross section (π R2),
but as the planet rotates this energy is distributed
across the entire surface area (4 π R2).
Hence, the average incoming solar radiation (called
sometimes the solar
irradiance), taking into account the half of the
planet not receiving any solar radiation at all, is one
fourth the solar constant or ~342 W/m². At any given
location and time, the amount received at the surface
depends on the state of the atmosphere and the
latitude.
The solar constant includes all
wavelengths of solar electromagnetic radiation, not just
the visible light. (See
electromagnetic spectrum for more details) It is
linked to the
apparent magnitude of the Sun, −26.8, in that the
solar constant and the magnitude of the sun are two
methods of describing the apparent brightness of the
Sun, though the magnitude only measures the visual
output of the Sun.
In 1884 Samuel Pierpont Langley
attempted to estimate the solar constant from Mount
Whitney in California, and (by taking readings at
different times of day) attempted to remove atmospheric
absorption effects. However he obtained the incorrect
value of 2903 W/m2, perhaps due to
mathematical errors. Between 1902 and 1957, measurements
by Charles Greeley Abbot and others at various
high-altitude sites found values between 1322 and 1465
W/m2. Abbott proved that one of Langley's
corrections was erroneously applied, and his results
varied between 1.89 and 2.22 calories (1318 to 1548 W/m2),
and the variation appeared to be solar, not terrestrial.
The angular diameter of Earth seen
from the sun is ca. 1/11,000 radian, so the solid angle
of Earth seen from the sun is ca. 1/140,000,000
steradian. Thus, the sun emits about 2 billion times
the amount of radiation that is caught by Earth, or
about 3.86×1026 watts.
Climate
effect of solar radiation
Solar irradiance spectrum
above atmosphere and at surface
On Earth, solar radiation is obvious
as daylight when the sun is above the horizon. This is
during daytime, and also in summer near the poles at
night, but not at all in winter near the poles. When the
direct radiation is not blocked by clouds, it is
experienced as sunshine, a combination of bright
yellow light (sunlight in the strict sense) and heat.
The heat on the body, on objects, etc., that is directly
produced by the radiation should be distinguished from
the increase in air temperature.
The amount of radiation intercepted by
a planetary body varies as the square of the distance
between the star and the planet. The Earth's orbit and
obliquity change with time (over thousands of
years), sometimes forming a nearly perfect circle, and
at other times stretching out to an
orbital eccentricity of 5% (currently 1.67%). The
total insolation remains almost constant but the
seasonal and latitudinal distribution and intensity of
solar radiation received at the Earth's surface also
varies. For example, at latitudes of 65 degrees the
change in solar energy in summer & winter can vary by
more than 25% as a result of the Earth's orbital
variation. Because changes in winter and summer tend to
offset, the change in the annual average insolation at
any given location is near zero, but the redistribution
of energy between summer and winter does strongly affect
the intensity of seasonal cycles. Such changes
associated with the redistribution of solar energy are
considered a likely cause for the coming and going of
recent ice ages (see:
Milankovitch cycles).