Orbital Radius of 15 Geostationary Satellites for 14 Daily Passes

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The orbital radius for a geostationary satellite is approximately 42,300 kilometers, corresponding to a period equal to the Earth's rotation. To achieve 14 daily passes over a fixed point, the satellites must have a shorter orbital period than geostationary satellites. This requires calculating the necessary orbital radius based on the increased frequency of passes. The smaller practical radius can be determined through orbital mechanics equations, considering the relationship between orbital period and radius. Ultimately, the smaller radius will allow for the desired coverage of 14 passes per day.
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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.


I wish I knew where to begin...help please!
 
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You will first need to work out the period of the satellites using the given information. You know that each satellite passes a fixed point on the Earth 14 times a day.
 
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