Can we get a picture of Oumuamua with Hubble Space Telescope? If not, what are the reasons?
Answers why other telescopes might fail to get a picture of Oumuamua are welcomed as well.
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No we can't, The Wikipedia article states that:
the size and shape have not been directly observed as ʻOumuamua appears as nothing more than a point source of light even in the most powerful telescopes
In addition, note c states that:
Brightness peaked at 19.7 mag on 18 October 2017, and faded below 27.5 mag (the limit of Hubble Space Telescope for fast-moving objects) around 1 January 2018.
So the HST has a limit of 27.5 magnitude for fast-moving objects, and ʻOumuamua is now fainter than that limit.