AN ATMOSPHERIC MOTION EQUATION BUILT ON THE CONSERVATIVE RELATIONSHIP OF THE ANGULAR MOMENTUM EXCHANGE BETWEEN THE SOLID EARTH AND THE ATMOSPHERE ON SEASONAL-ANNUAL TIMESCALE^*

Within the seasonal-annual timeseale,there exists an angular momentum conservative exchange relationship between the solid earth and the atmosphere,and their angular momentum exchange not only can cause variations in length-of-day(LOD) but also can express anomalies in atmospheric general circulation.Therefore,their angular momentum exchange mechanism should be introduced into the general circulation model.Considering the angular momentum anomalous exchange caused by the air-earth interface friction effect,a whole-layer atmospheric motion equation is derived in this paper including the earth spin anomalous friction force parameterized by using the change in the earth rotation rate.Through analysing the equation,it shows that the magnitude of the earth spin anomalous friction force is the same as that of Coriolis force on seasonal-annual timescale.