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Is the movement of the satellites (moons) of a planet coplanar, like the planets being coplanar around the local Sun?

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With coplanar, do you mean the inclination? No, not necessarily; for instance the smaller jovian moon can have inclinations of >160°. See en.m.wikipedia.org/wiki/Moons_of_Jupiter –  Alexander Janssen Apr 14 at 4:37
    
By coplanar, I mean, the orbits are on the same plane. For example, the orbits of the planets moving around the sun are coplanar –  user1394 Apr 14 at 13:50
    
Well, Mercury has an inclination of ~7° and Venus about 3.4°; if that's coplanar, then the answer is no. Especially smaller moons can have very high inclinations. –  Alexander Janssen Apr 14 at 15:39
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Inner moon orbits tend to low inclinations with regard to planet's equatorial plane. Charon is an exception to this general rule. Nineplanets.org has a nice data base.

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