Red star Lagranges

Anton the Wonderful raises Edward Brobruno and James Green: that 3.81 light years toward Sagittarius, sits a halopoint. Around this point, could be captured a rogue planet. In theory, we could take even a brown dwarf or a supercool here.

Petrov admits: these have not been found here. As youtube commenter @patrickunderwood5662 notes, if lowly Sol has a halopoint then so does... every other star. Do we know where these other stars might have Lagrange capture halo?

I suspect that we're ignoring the gravities of passant stars as might interfere. From Sol, lots of stars barrel within 3.81 ly and then barrel out, so as to disturb this.

I submit that the systems most-likely to own Lagrange are the lower-gravity systems, which will hug those points closer, so less at risk of Gliese-710s. Not Proxima Centauri of course, I am thinking unbounds.

Coincidentally I hear that commentary is now possible on arXiv papers so - go to it, if you like.