Detecting a neutron star entering the solar system

In its wandering through the Milky Way, the solar system is getting close to a solitary neutron star. The neutron star will "fly by" above the plane of the ecliptic and its closest distance from the Sun will be 10 AU. The neutron star belongs to the Milky Way too, therefore its orbital velocity is comparable to that of the Sun: they cross each other path.

How and when could we possibly detect the neutron star during its approach? We have our present technology.

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Detecting a neutron star entering the solar system

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