On the extension of Helmert transform

Abstract

The article deals with the method of comparison of the coordinate systems used by two quite different scientific disciplines: stellar astronomy and the geodesy. Geodesic Helmert transform is analysed along with a series of stellar astronomy kinematic models: Kovalsky-Airy, Lindbladt-Oort and Ogorodnikov-Milne. An analogy was built allowing us to propose an extension to the Helmert transform. In the second part of the article, three different approaches to the solution of the correlation problem are compared, and the results of the numerical experiment are presented.