Abstract
The time and minimum distances of approaches were calculated more than 100 open star clusters (OSCs) near the Solar System over the past 5 Myr. It was shown that the closest proximity of the centers of the OSCs to the Solar System usually exceeded 60 pc. The Hyades cluster approached the Solar System at ~25 pc. The effect of such encounters on the comet motion in the outer regions of the Oort cloud is comparable and may even exceed the effect of encounters with individual stars. The celestial positions of the cluster antiapex were compared with the aphelia of long-period comets. Cases of its close positions were revealed for some comets and the interstellar asteroid 1I/2017 U1 (Oumuamua). The frequency of OSC passages in the vicinity of the Solar System was estimated. Encounters at a distance of 25 pc occur at a rate of ~20 times per billion years.
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