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This paper offers a method for investigating characteristics of propagation of wave-like temperature disturbances were observed at the height range of 20-100 km during development of the sudden winter stratospheric warmings in January-February 2008. Satellite data on vertical temperature distribution obtained by the Microwave Limb Sounder (MLS) aboard the spacecraft EOS Aura were used. In an approaching of two wave model the propagation directions of disturbances were calculated. Vorticity-like behavior of horizontal wave numbers structure was shown. Periods of disturbances vary from 11 to 27 days. Vertical wave numbers range is 35-80 km.