Abstract：Astronomical Atmospheric Refraction( AAR) is one of important problems in classic astronomy and geodesy. Using the theoretical relationship satisfied by atmospheric parameters between two adjacent points in an electromagnetic wave propagation path,general integral expressions has been developed,the influences of polybasic and isothermal atmospheres on AAR,which consists of influences of both dry air on AAR,and contains water vapor,along with the coupling effect of dry air and water vapor to AAR. The general integral expressions given by this paper does not depend on atmospheric distribution models. Therefore,this article not only improved the existing spherically symmetric atmospheric refraction theory,but also adapted to the needs of different orientations.

Keyword：Astronomical atmospheric refraction;Polybasic atmosphere;Isothermal atmosphere;General integral;