Most experiments which test the transverse Doppler effect use the Mossbauer effect on a rotating dish—rotator. Because they are related to a rotational coordinate systera

they can be analysed in view of either special or general relativity. However

the former analyses in general relativity often simply use the principle of equivalence and thus can only explain the relative simple experiments. For more complex problems

it is difficult to explain perfectly if only the principle of equivalence is used. In this paper

we start from the general formula which was deduced by the fundamental principles of general relativity theory—the general relativity principle and the principle of equivalence

and use it to analyse the rotating dish experiment which tests the transverse Doppler effect. The formula can illustrate not only the simple experiments

but also the relative complex problems

and gives a better answer in general relativity theory. Thus

we affirm that the general relativity theory is of universal significance.