It will never rise above their local horizon. Because of the height of the Shuttle's orbit, just about every spot in this band, and for several degrees to the north and south, will be within the field of view of the orbiter and above the horizon for ground based observers. But even if the orbiter flies directly overhead, you will only be able to see it directly under just the right conditions. Conditions are suitable only when the orbiter is illuminated by the light of the Sun in an otherwise dark sky. This occurs only before dawn and after dusk.
Sunlight illuminates the sky overhead before dawn and after sunset.
Mountain peaks and tall clouds capture the light of the Sun after it has fallen below the horizon for low-lying areas. At the Shuttle's altitude of around two hundred miles above Earth's surface the sky will have some sunlight shining through it for two hours before sunrise and after sunset. Most illustrations of the Space Shuttle's flight path greatly exaggerate the altitude of the orbiter. Distances between local landmarks will make the best impression on children. Then turn the calipers perpendicular to the globe so that they show altitude.