Some scientific tasks, such as estimating certain parameters of the Earth's gravity field models, constructing long-term satellite ephemerides etc., require high quality numerical integration of the equations of satellite motion at long orbital arcs. In this paper the author investigates the VASOMI numerical integration code realizing the variable order variable step size Adams method. This code has been using in the Lageos satellite laser ranging data analysis, but it has been tested only at the orbital arcs shorter than 30 days. The author has tested it at orbital arcs reaching 2 years with application to orbits of Lageos-1, Etalon-1 and a geosynchronous satellite. A set of parameters allowing one to achieve the maximum accuracy in orbit computation has been derived. The integration error of a few centimeters can be attained at two-year orbital arcs for the satellites mentioned above.     «

Some scientific tasks, such as estimating certain parameters of the Earth's gravity field models, constructing long-term satellite ephemerides etc., require high quality numerical integration of the equations of satellite motion at long orbital arcs. In this paper the author investigates the VASOMI numerical integration code realizing the variable order variable step size Adams method. This code has been using in the Lageos satellite laser ranging data analysis, but it has been tested only at th...     »