Final answer:
A telescope with an equatorial mount follows stars by rotating parallel to Earth's axis, utilizing a motorized drive to match Earth's rotation and prevent celestial objects from drifting out of view.
Step-by-step explanation:
A telescope with an equatorial mount is designed to follow the stars by matching the Earth's rotation. The mount has two perpendicular axes, with the main equatorial axis aligned parallel to Earth's axis, pointing at the pole star. To track celestial objects, the mount uses a motorized drive system that rotates the telescope smoothly from east to west at the same rate Earth rotates from west to east. This automatic adjustment is often accomplished through a clockwork mechanism or a motor in more advanced setups. Additionally, the entire assembly may be housed within a dome with an opening that moves with the telescope, ensuring the path of light from observed objects is unobstructed.