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The complication of the physics has nothing to do with why it was made small.
It was made small to help alleviate boredom. Faster orbits, quicker planetary transfers, etc.
I'm about 90% sure that there's a mod that turns the Kerbal solar system into our own system, including scale. I can't remember the name of it though.
This^^
I have a few pieces of RSS, but I believe KSP stock now allows for Earth Time to be set via the Settings menu before opening up saves.
The first time i noticed it was when i was at max time speed and was trying to estimate how long it would be.
As for the size of the system, I love realism in games like this. But when the realism would only make you sit there another hour at max x time speed and add nothing really of value then i see no reason why it should be there. So long as the Fuel/speeds/ and everything else is scaled around that ratio things should still be fairly realistic without the extra dead time of nothing happening. Pretty sure the time scale for the kerbel system is a time scale to pass the days and years by more accurately compared to the relative size of the system.
Moon - Earth / Mun - Kerbin
As the orbit period of our Moon is equal to its rotation period (that's why we always see only one side of our Moon) also Mun's sidereal period and its rotation period around Kerbin is eqeual.
A solar day of our Moon differs from the sidereal period because its rotation around Earth and together with the Earth around the Sun:
Earth's siderial day takes 23h 56m, a solar day 24h. Moon's siderial day takes 27.3d and its solar day 29.5d.
Kerbin's sidereal day is 6h and it's solar day 6h 50s. Mun's sidereal day is 1d 14h. There are no informations about it's solar day but it is longer than this 1d 14h.
http://wiki.kerbalspaceprogram.com/wiki/Kerbin
http://en.wikipedia.org/wiki/Solar_time
Yes there is: it's equal to its synodic orbital period (with respect to Sun-Kerbin) which is 141115.4 s. I trust you can do the math to turn that into days/hours/minutes/seconds yourself.
http://en.wikipedia.org/wiki/Orbital_period (See synodic period).
I'm now confused with my own question lol