Unified Expression Frame of Geodetic Stations Based on Conformal Geometric Algebra

Global geodetic stations are the basis for the study of International Terrestrial Reference Frame (ITRF) and crustal plate motion. This paper has collected a total of 288 global geodetic stations calculated by four spatial geodetic technologies. Because different types of geodetic stations use different spatial references, the data of different types of stations can only be used after necessary spatial conversion. And with the motion of the Earth’s crust, conversion methods and formulas are constantly being revised. The complexity and dynamics of spatial conversion have greatly hindered the integrated application of different global geodetic stations. This paper proposes a unified expression frame for global geodetic stations. Based on the theory of conformal geometric algebra, the motion operator that uniformly expresses translation, rotation, and scaling in the form of versor product is introduced. From the perspective of the unified expression and calculation of the operator, a unified expression frame and ITRF conversion method for different reference frames of the geodetic station are constructed. The experimental case shows that the ITRF conversion method based on the unified motion operator reduces the complexity of the reference frame conversion, which provides a certain reference for the unified expression and analysis of different frame conversion and crustal plate motion.