It depends on how high the satellite's orbit is.
Kepler's Third Law states that the further away a satellite is from its parent body, the longer its orbit takes. (This same law explains why our planet circles the Sun faster than, say, Jupiter.) Some examples:
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It uses 66 small satellites in low earth orbit
Venus has no natural satellites but probes have been sent their for many years now.
No, all satellites do not orbit Earth at the same altitude. An good overview of this can be found on http://www.idirect.net/Company/Satellite-Basics/How-Satellite-Works.aspx. This overview reviews Low Earth Orbit, Medium Earth Orbit and Geostationary Orbits.
10 satellites. Only 2, Phobos and Diemos2 - Phobos and Demos
Satellites cannot orbit the US; they orbit the Earth, and there are several thousand of them.
It takes that many to provide complete coverage of the Earth, including the polar regions.
there is no satellites orbiting Saturn
There are many satellites that orbit the earth in a day or less. All of them are man made. The only real satellite that orbits the earth is the moon. That takes 28 days to complete a single orbit.
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With large number of low-earth-orbit satellites and the geo-synchronous orbit stuffed full of communications satellites, there aren't all THAT many "medium" altitude satellites. But there are some. The GPS navigation satellites, for example, are in highly inclined 12-hour orbits, and an unknown number of military "spy" satellites are in that middle range.
10
a lot
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yes
Thousands, but the actual number is classified and varies from week to week as satellites de-orbit and new ones are launched.
It uses 66 small satellites in low earth orbit