On the Motion of a Vortex in a Non-Uniform Pressure Field

抄録

In this paper, equations of motion of a vortex in a non-uniform pressure field are obtained. Integrating the equations of motion over the domain of a vortex and separating the motion into that of a vortex as a whole and that within the vortex, equations of motion of a vortex are obtained. Among other things, important results obtained are as follows: (1) By the effect of the Rossby's force and the Coriolis force, the vortex moves on a cycloidal path, a cyclonic vortex eastward and an anticyclonic vortex westward. (2) The motion of a vortex in a uniform pressure gradient field is composed of four types of motion. (3) The well-known fact that cyclones tend to isallobaric lows is explained.