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Assume that I am standing on one of the many satellites of Neptune. Will I be able to see the planet with my naked eyes (without any sort of visual aid).

If I was to stand on Moon I would be able to see the Earth because the light from Sun is reflected off Earth into my eyes and I am able to see Earth. In case of Neptune, the distance between Neptune and the Sun is so great that the sun would look like any other star (a bit brighter). In that case if I am looking at Neptune would I be able to see it ?

What about the other gas giants ?

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NASA's Neptune fact sheet states that Neptune's irradiance is $1.51 W/m^2$. This is roughly three orders of magnitude less than at Earth (at $1367.6 W/m^2$). This sounds like a lot, and it is quite an attenuation. So much that for example solar panels for interplanetary probes are not worthwile at these distances from the sun.

However, if you compare this with the sensitivity of the human vision system, this seems still pretty bright. A sunny day outside will be approximately $10^5 cd/m^2$. So equally on Neptune a sunny day will probably be $10^2 cd/m^2$. This is comparable to an overcast sky, and still well within human photopic vision!

The perceived brightness of Neptune, as viewed from one of its moons, will not change, so yes, it will appear 1000 times less bright than earth does, but since you don't have any comparisons to brighter light sources there, you will perceive it as pretty bright!

As for the other gas giants, their surface irradiance will be equally higher, so they will in turn appear much brighter than Neptune.

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So I will be able to see Neptune is clear from the answer. Will I be able to see it in real color (as seen in photographs) with a bluish-green tinge. For example, during the night we are not able to distinguish colors if we are in a room even though we are able to see the objects within the room. We are unable to resolve the colors. –  Rahul Kadukar Nov 22 '13 at 7:41
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If my estimates are roughly correct, you will see it in color. $10^2cd/m^2$ are, as I said, in the range of photopic (color) vision of humans. –  Arne Nov 22 '13 at 8:52

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