Earth like moon in Neutron System

Earlier today I discovered an Earth Like World within a Neutron system. I realise this is fairly uncommon yet a fair amount have been listed on EDASTRO. To my surprise I soon realised that the Earth Like was a moon circling a HMC planet at approximately 3Kls from the Neutron star. I am thinking that an Earth Like moon is pretty rare but within a Neutron System makes this an extremely rare find indeed. I would appreciate your thoughts on this as I can find no evidence of this phenomena!
 
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It turns out it's not as rare as you might think. While Neutron-star ELWs are rare enough, a significant proportion of them are moons. For example, in Marx's ELW list there are 277 reported ELWs in star systems with only a solo neutron star, of which 22 of them are moons - which gives a ratio of 7.9%, or nearly four times higher than the overall ratio of Earth-like moons (2.03%).
 
To be fair though, Earth-like moons in themselves are already rare. Only 3,674 ELMs out of 186,603 ELWs, 1.9%. So, even just on that anyway, congrats on your find!

Curiously enough, and probably mostly thanks to the atmospheric moon surface temperature bug, the higher we go into mass codes and luminosity, the more of ELWs will be moons. In mass code E, 8% of ELWs are ELMs, code F is 5.6% (the drop being due to only 5 ELMs here), code G is 53.9%, code H is a 93.4%. Of course, the problem is that we're only talking about 350 or so ELMs here, all across those four codes; 78% of all ELMs are in mass code D. In practice, the bug pushes the outer edge of the habitable zone farther out, as the ELMs end up colder than they should be.
 
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