Much superior to astronomy telescopes on Earth, out in space there's no sunlit sky hiding half the stars up to half of each day, nor clouds often blocking night views. Several months, many stars are hidden through most daylit hours, at best then visible only low thus near the horizon, likely for only a few hours those nights, if not then too cloudy down near the horizon. Thus telescopes off Earth can give even months long completely uninterrupted clear views all hours and months of even dim distant stars or far away galaxies.
A telescope much wider than any on Earth, (thus able to collect much brighter and more magnified views), can be robotically formed almost weightless on an asteroid. On a 50km, 100km, or 200km asteroids of density 3g/cc (Luna is 3.341), then weights at the surface, compared with weights on Earth's surface, would be merely .212%, .424%, or .848%. By early this century, in the main asteroid belt (between Mars & Jupiter, where big Jupiter's gravity had been too disruptive to let another planet coalesce in there), the numbers of asteroids which had been considered to be of at least these sizes totaled about 600, 200, 30.
A big perfect paraboloid mirror can be easily formed. Into an air sealed heat insulated wide bowl, melt what can form a big mirror from a suitable maybe glass like material or metal, which will never later get remelted out there by Sol. While suspended from a stable high tower, give this bowl slow perfectly steady vibrationless proper spin suitable for the desired mirror surface curvature. Perhaps also have this spun very steadily around the tower, spun just enough to produce more useful effective weight than weakly just at the asteroid's surface.
Very slowly allow this to quietly cool and solidify at the suitable constant slow spin speed. Finally if glass, on the resulting perfect paraboloid surface, condense an extremely thin good reflective film. (Something like this had been done on Earth to more easily produce some big telescope mirrors, much easier than the old early method for smaller mirror telescopes of grinding the intended mirror's thick glass disk over another glass disk, requiring days or weeks, while slowly turning both disks, to eventually obtain the wanted curved surface shape, which would then need its surface to be more finely ground, then finally polished.)
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