Abstract
The change of pressure in the atmosphere due to change of temperature, such as the formation of low in land due to the solar radiation, is one of the most important cause for growth and decay of cyclone and anticyclone. The relation between pressure change and temperature change in the atmosphere is investigated.
The fundamental relations are, and
The former is the equation of motion and the latter is equivalent to the equation of continuity. Neglecting small quantities, we can derive following equation from them
And we have one of the above solutions,
This is the condition which holds for any change of temperature.
From this condition, we have the relation between the pressure change and temperature change in the atmosphere as follows,
where P0 is pressure on the earth surface. The relation is confirmed by various examples.
