Abstract
In this paper an attempt is made to determine the atmospheric temperature and wind velocity at high altitude from sound propagation.
The space to be measured is divided into several layers, in each of which the temperature and wind distributions are assumed to take the form of second order equation with height. In this assumption the formulae to deduce the temperature and the wind are given by use of Snell's law for sound propagation under the existence of wind.
As the results involve hyperelliptic integrals, it is difficult to get explicitly the quantities giving the distributions of temperature and wind velocity. But it will be possible to find the numerical values of the required quantities by numerical calculus of integral.
It is shown that the results are determined uniquely, in general, and that in the simple case, too, for explaning this theory and using practically.
