New method for helmert transformation without direct conversion parameters and precision analysis

For two coordinate reference frames which have no direct conversion parameters, a new method is developed to solve the complex and inefficient problem of traditional multi-step "transition" transformation. This paper takes the coordinates and velocities of 714 stations released by EUREF as an example to convert them from the ETRF2014 to the ETRF2000. The results show that, the coordinate and velocity difference between the traditional method and the method proposed in this paper is in the order of $ {10}^{-8} $ meters and $ {10}^{-9} $ meters per year, respectively. The analysis results verify the feasibility of the calculation method.