Dynamic Equations of the Atmosphere in Rotating Coordinates of Moved Poles
移极旋转坐标系中的大气动力学方程

Dynamic aspects are investigated for inviscid and adiabated atmosphere without considering topography in this paper. Lagrange's equations of the second kind are obtained by the method of analytical dynamics in rotating coordinates, such as Cartesian,spherical and cylindrical coordinates fastened to the earth with moving poles. Then general dynamic equations of the atmosphere are obtained. The so-called apparent forces (egg. Coriolis and centrifugal forces) are treated the same as other forces. There is neither symmetry nor antisymmetry of motions of the atmosphere when the axis of rotation of the earth does not coincide with the z-axis of the rotating coordinate system. It is well worth mentioning that the basic equations used by many scientists are vague when numerical simulation experiments about the axisymmetry and asymmetry of typhoon(hurricane) use cyclindrical coordinate.The exact basic equations are given in this paper.