Trying to find orbital radius of a satellite

masterofphys

1. The problem statement, all variables and given/known data

A geostationary satellite in orbit around the earth has a period identical to that of the earth's daily rotation; the radius of such an orbit is 4.23 \times 10^4 kilometers. A system of satellites is proposed such that 15 satellites are in orbit at the same radius and each passes over a point fixed on the Earth 14 times per day (the times will be evenly spaced). What will be the orbital radius of each satellite? There will be two such radii; only the smaller will be practical.

2. Relevant equations

V = [tex]\sqrt{}Gm(earth)/r[/tex]
T = 2pir/v

3. The attempt at a solution

I tried finding what the current speed would be, but I got a larger value. I'm assuming the speed has to be 14 times what it originally is. I don't know where to begin!
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution

Redbelly98

Rather than thinking what the speed should be, try to figure out what either the angular speed or the orbital period should be.