What limits the ability to directly image distant objects with telescopes?

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The ability to directly image distant objects with telescopes is limited primarily by resolution and signal detection. Resolution is constrained by the diameter of the telescope's mirror, requiring Earth-sized apertures to resolve stars in nearby galaxies. Signal detection depends on the telescope's area, detector noise, and observation duration, with ground-based telescopes facing additional challenges from light pollution and atmospheric interference. Space-based telescopes also contend with zodiacal light, which can wash out faint images. These factors collectively hinder the imaging of extremely distant celestial objects.
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Why can't a telescope be built that has the capability of directly imaging extremely far away objects...say a planet in another galaxy?

Is light collection the issue?
 
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There are two limits.
1, Resolution - this depends only the diameter of the mirror ( assuming you are in space - on Earth you are limited by the atmosphere). The largest current telescopes would resolve the largest nearby stars.
To resolve stars in nearby galaxies would require telescope appertures the size of the Earth.

2, Signal limit - this depends on the area of the telescope and the noise in the detector * the length of the observation. We can detect quasars (very bright galaxies) out to pretty much the edge of the observable universe. The only limit for individual stars would be the size of the telescope and how long you are prepared to observe for.
 
For ground-based telescopes, there is an additional issue in seeing faint objects. The sky itself is not totally dark, due to the diffusion of local and astronomical light sources. So, if you're integrating for a long time to try to see an extremely faint object, tou'll evetually end up with an image that's totally washed out.
 
Even for space based telescopes the ultimate limit is probably zodiacal light. This is light reflecting off dust left arounf in the solar system.
 
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