  In recent years, evidence has been obtained that in the outer region of the
Solar System (in the inner part of the Oort cloud), at a distance $\sim300-700$
AU from the Sun, there may be a captured planet or a primordial black hole. In
this paper, we show that the gravitational scattering of dust particles in the
same region on this object can transfer them to new elongated orbits reaching
the Earth's orbit. With the mass of the captured object of the order of 5-10
Earth masses, the calculated dust flow near the Earth $\sim0.1-3$$\mu$g
m$^{-2}$ yr$^{-1}$ is comparable in order of magnitude with the observed flow.
This effect gives a joint restriction on the parameters of the captured object
and on the amount of dust in the Oort cloud.
