Long periods of regular astronomical latitude-longitude measurements on observatories participating in determination of Earth´s rotation parameters are frequently used for estimation of corrections to star catalogue mean places and proper motions. The proposed method is the extension and generalization of the usually exploited chain method. It is possible to estimate simultaneously the corrections of declinations and right ascensions for instruments which determine both latitude and longitude. Additional unknowns - amplitudes of short-periodic terms (e.g. corrections to nutation amplitudes, tidal variations, nearly diurnal polar motion, instrumental parameters and refraction anomalies) can be included into total adjustment. It is not necessary to fulfil the condition of closing the chain. The constraint for unknown parameters is the minimum of choosen guadratic form. The problem is solved by using the theory of generalized inverse of matrices. The method is demonstrated on determination of the right ascension corrections from observations with visual transit instrument. Another applications of proposed method are outlined.