The rate at which the earth radiates into space the heat received
from the sun depends upon the temperature of its surface; and the
temperature of its surface (other things being equal) depends upon
the rate at which the heat is received. The greater the rate at which
the earth receives heat from the sun, the greater will therefore be
the rate at which it will lose that heat by radiation. Now the total
quantity of heat received during winter by the southern hemisphere is
exactly equal to that received during winter by the northern. But as
the southern winter is longer than the northern, the rate at which the
heat is received, and consequently the rate of radiation, during that
season must be less on the southern hemisphere than on the northern.
Thus the southern hemisphere loses heat during a longer period than the
northern, and therefore the less rate of radiation (were it not for a
circumstance presently to be noticed) would wholly compensate for the
longer period, and the total quantity of heat lost during winter would
be the same on both hemispheres. The southern summer is shorter than
the northern, but the heat is more intense, and the surface of the
ground kept at a higher temperature; consequently the rate of radiation
into space is greater.
When the rate at which a body receives heat is increased, the
temperature of the body rises till the rate of radiation equals the
rate of absorption, after which equilibrium is restored; and when the
rate of absorption is diminished, the temperature falls till the rate
of radiation equals that of absorption.
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