The habitable planet of Gaia BH1

tl;dr - ... does most likely not exist. As every year in March, I attended the Mathematik Modellierungswoche last week, held at the Rechtenthal Castle in the small village of Tramin , South Tyrol. Along with four other STEM teachers, I brought an assignment for five of the most talented students from various schools across the province. Their task was to work on it and get as close to a solution as possible. As usual, my assignment this year came from the wide and never disappointing field of astronomy. Over the past year, I was 'commander-in-chief' of a nice 16-inch remote rental telescope in Australia and used it to image the southern night sky. During the bright moon phases, galaxies and nebulae weren't ideal targets, so I focused on finding interesting star-like objects to point my telescope toward. I can't recall exactly where or when I first read about Gaia BH1, the first stellar black hole discovered by the prolific astrometry satellite Gaia in 2022, but it su...