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This is one of results from our program of massive simulations of closeencounters for all nearby stars. Epsilon Eridani is an extremely interestingstar having one confirmed planet and multiple asteroid and debris belts. Itshould have a quite massive Oort cloud as well. Deltorn et al. searched forpast Nemesis encounters of $\varepsilon$ Eri. In this paper we show that,according to current astrometric data, an other famous nearby star Luyten726-8AB (=BL/UV Ceti) will pass at $\lesssim$ 0.93 ly from Epsilon Eridani in$\approx$ 31.5 kyr. So, it will probably pierce through the outer part of thehypothetical Oort cloud of $\epsilon$ Eri. BL/UV Ceti has only about 20 percentof the solar mass. Nevertheless, it could influence directly some long-periodcomets of Epsilon Eridani. The duration of mutual transit of two star systemswithin 1 ly from each other is $\gtrsim$ 4.6 kyr. Our simulations show thatstellar encounters within 1 ly might be more frequent than previously thought.It could explain Proxima's peculiar trajectory with respect to $\alpha$ Cen ABor even Sedna's trajectory in the solar system.

Transit of Luyten 726-8 within 1 ly from Epsilon Eridani