THE OSCILLATION OF CERTAIN ZONAL MEAN CHARACTERISTICS OF MOTION ON A SPHERIC EARTH’S ATMOSPHERE——PART 2:ANISOTROPIC QUASI-EDDY MOTION

This paper is an extension of the auther's works (1980,1982,1987).Simple anisotropic distribution of horizontal kinetic energy is assumed,i.e.,the zonal kinetic energy is twice that of the meridional kinetic energy.The large-scale atmospheric motion is considered as that consisting of quasi-horizontal eddies and regular flow.The techniques of quasi-eddy,quasi-steady,quasi-geostrophic and quasi-adiabatic approximations are used in order to get the analytical solutions of the system of equations governing the variation of the zonal mean characteristics.The results show that the zonal mean characteristics of the atmospheric motion are a combination of different periods ranging from a few days to a few weeks depending on the components of Chebyshev polynomials of the sine of the latitude.When more general anisotropy of horizontal kinetic energy is assumed,Gegenbauer polynomials appear instead of Chebyshev polynomials.When the distribution of horizontal kinetic energy is isotropic,the polynomials retrograde to Legendre polynomials.