In June, a man at McMurdo station can see the southern cross pretty much overhead all night (24 hr darkness). It will circle around a point directly south once every 24 hours. Three men in Buenos Aires, Capetown, and Sydney will see the southern cross due south of them, granted at different times, but at all those times, whatever precise times they may be, the man at McMurdo can still see it above his head. Can anyone explain how the man at McMurdo can see the southern cross south of him at the same time as night in Sydney or Capetown? A diagram would be helpful.
Also, if the southern cross traveled around the edge so as to appear in the south in Capetown, Buenos Aires, and Sydney during their different nights, wouldn't it have to be moving around the edge at 1 revolution per day? Wouldn't it appear to travel across the sky? Wouldn't it not be straight south all night, but start way on one side, go through south, and off to the other side?