Kudinova, AlexandraEingorn, MaximZhuk, Alexander2013-11-222013-11-22201212-th Odessa International astronomical Gamow conference-school, "Astronomy and beyond: astrophysics, cosmology and gravitation, cosmomicrophysics, radio-astronomy and astrobiology" : program and abstracts, August 20-26, 2012 / "Astronomy and beyond: astrophysics, cosmology and gravitation, cosmomicrophysics, radio-astronomy and astrobiology", international astronomical Gamow conference-school (12;2012; Odessa) - ; chief I. N. Koval . – Odessa, 2012 . – 53 p.https://dspace.onu.edu.ua/handle/123456789/3942We develop the dynamical approach in this model and investigate nonrelativistic motion of two, three and even more cosmic bodies against the cosmological background, perturbed locally by density inhomogeneities (namely, galaxies). For arbitrary initial conditions, we get solutions of equations of motion (trajectories), demonstrating most important features of the cosmological expansion, only slightly restrained by gravitational attraction. Our methods can be used for indirect observations of dark energy and dark matterencosmic bodieshyperbolic spaceArticle