It is theoretically shown the possibility of existence of such a universal among bodies^, (particles^,) central interaction which in small distances differs from Newton’s interaction and is stronger of it, and in considerably big distances practically coincides with Newton’s gravitational interaction. This interaction is given by formula (1.1). The created gravitational field is potential with rather simple in the form potential (1.4). Conditions under which the trajectory of the particle is a conical cross-section, are redused. Parametres of conic cross-section are determined (formula (1.17)). Gravitational radius under such interaction (formula (2.2)) is determined. It is established that bodies (formations) with as mach as desirable big gravitational radius may exist. As private cases the results on base of Newton’s gravitation law follow from the obtained results.