Abstract
Recently H. Solberg developed the tidal theory and emphasized the great importance of vertical acceleration in dynamical theory of tide. The same con_??_ideration is applicable to the theory of elastic oscillation of an atmosphere. Generalizing Margules' theory the present author developed the mathematical theory of free oscillation of an atmosphere. The detailed numerical discussion will be reserved for the second paper. The special case of non-ro_??_ating earth reduces to Rayleigh's solution. But his formula (α=radius of the earth, c=Laplace's sound velocity) is incorrect and must be replaced by In case of m=1 or 2, large errors occur by applying Rayleigh's formula.
