In this paper, the apparent motions of quasars, which are the reference sources of the international celestial reference system (ICRS), are analyzed. Kinematic parameters from four catalogs compiled by different research groups are used. Apparent motions are expanded on a special set of vector functions on the sphere that are an irreducible representation of the rotation group O(3). The degree of the noninertiality of the barycentric reference system caused by the rotation of the solar system around the galactic center is estimated according to expansion coefficients. The direction and magnitude of the acceleration vector are calculated and compared with the alternative estimates. This method is discussed as a way to test Newton’s law on a large scale.
Sazhin M.V., Sternberg State Institute of Astronomy, M.V.Lomonosov Moscow State University, Moscow 119191, Russia. Sazhina O.S. , Sternberg State Institute of Astronomy, M.V.Lomonosov Moscow State University, Moscow 119191, Russia. Sementsov V.N., Sternberg State Institute of Astronomy, M.V.Lomonosov Moscow State University, Moscow 119191, Russia. Siversky M.N., Department of celestial mechanics, astrometry and gravimetry, Faculty of Physics,\\ M.V.Lomonosov Moscow State University, Moscow 119991, Russia. Zharov V.E., Department of celestial mechanics, astrometry and gravimetry, Faculty of Physics,\\ M.V.Lomonosov Moscow State University, Moscow 119991, Russia. Kuimov K.V., Sternberg State Institute of Astronomy, M.V.Lomonosov Moscow State University, Moscow 119191, Russia.