Without a telescope, you can see the International Space Station (ISS) and the Shuttle Endeavour in the night sky at different times during the next week. They aren't visible for a very long time, so follow the link below to check out times to see them and how long they are visible.
Tomorrow (Saturday Nov. 22nd) the shuttle and space station will still be connected together. Right now I think there will be partly cloudy skies from a weak disturbance and some moisture passing through our area. This won't produce any rain, but for sky watching purposes we may have some clouds to contend with on Saturday evening. If it clears in time, here where to look for the shuttle and ISS:
On Saturday Nov. 22nd at 6:06 pm the ISS and shuttle will be visible for about two minutes. Look West-Northwest at about 19 degrees above the horizon for a bright moving star, that's it! Follow it for two minutes as it will eventually dissapear while you're looking North at about 23 degrees above the horizon.
Click on this link to find updated times and more opportunites to see the ISS and shuttle Endeavour.