light-gathering power
Why can a telescope show you thousands of stars invisible to the naked eye? Not because it magnifies them — they stay point-like — but because it collects far more of their light and pours it into your eye or camera. That ability is called light-gathering power, and it is the chief reason telescopes exist.
Light-gathering power is set entirely by collecting area, which depends on the square of the aperture. Your dark-adapted pupil is about 7 mm across; a modest 70 mm telescope is ten times wider, so it has a hundred times the area and gathers a hundred times the light. An 8 m telescope gathers over a million times more than your eye. Because gathering more light lets you record fainter objects, light-gathering power is what lets us photograph galaxies billions of light-years away whose light is unimaginably dim by the time it reaches us.
There is a second way to gather light from a faint source: keep collecting for longer. A telescope staring at the same patch of sky for hours, adding up photons in a long exposure, can detect objects far fainter than a quick glance would reach. So in practice the faintest thing you can study depends on both aperture and integration time — area buys you light per second, and time multiplies it. This trade-off is at the heart of every observing plan.
The naked eye sees stars to about magnitude 6; a 200 mm backyard telescope, with roughly 800 times more collecting area, reaches past magnitude 13 — that is thousands of times fainter.
Faintness reached scales with collecting area.
Light-gathering power governs faintness, not detail. A bigger aperture also helps resolution, but the two are separate jobs — gathering more light does not by itself make an image sharper.