Key Points of Telescopic Reach
# The Physics of Astronomical Observation: Aperture and Magnitude
The primary function of a telescope is not to magnify the image, but to collect light. The human eye has a pupil that dilates up to about 6-7mm in complete darkness. A 200mm telescope has a collecting surface of 31,416mm², more than 800 times larger than the human pupil, allowing you to see objects hundreds of times fainter.The formula for magnitude gain is:Gain = 5 × log₁₀(Aperture_mm / 6). For a 200mm aperture: 5 × log₁₀(200/6) = 5 × 1.52 = 7.6 additional magnitudes above the naked eye. Adding the 6.5 magnitudes visible to the naked eye (under dark sky), we reach a limiting magnitude of 14.1.# The Effect of Light Pollution on Reach
Even with the world's largest telescope, you cannot see faint galaxies from a city center. The brightness of the sky background "erases" the necessary contrast. The Bortle Scale quantifies this effect: each additional Bortle level subtracts approximately 0.5 magnitudes of telescope reach.| Aperture | Bortle 2 (Dark) | Bortle 4 (Rural) | Bortle 6 (Suburban) | Bortle 8 (Urban) |
|---|---|---|---|---|
| 70mm | Mag 12.0 | Mag 10.8 | Mag 9.5 | Mag 8.3 |
| 100mm | Mag 12.8 | Mag 11.6 | Mag 10.3 | Mag 9.1 |
| 150mm | Mag 13.6 | Mag 12.4 | Mag 11.1 | Mag 9.9 |
| 200mm | Mag 14.2 | Mag 13.0 | Mag 11.7 | Mag 10.5 |
| 300mm | Mag 15.0 | Mag 13.8 | Mag 12.5 | Mag 11.3 |