Orbital Radius of 15 Geostationary Satellites for 14 Daily Passes

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SUMMARY

The orbital radius for geostationary satellites is established at 4.23 × 104 kilometers. In this discussion, a system of 15 satellites is proposed, each passing over a fixed point on Earth 14 times daily. To determine the orbital radius for these satellites, one must first calculate their orbital period based on the provided frequency of passes. The smaller of the two calculated radii will be the practical solution for the satellite system.

PREREQUISITES
  • Understanding of orbital mechanics
  • Familiarity with Kepler's laws of planetary motion
  • Basic knowledge of satellite communication systems
  • Ability to perform calculations involving circular motion
NEXT STEPS
  • Calculate the orbital period of satellites using the formula for circular motion
  • Research the implications of satellite spacing and coverage
  • Explore the effects of altitude on satellite signal strength
  • Learn about the differences between geostationary and geosynchronous orbits
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Aerospace engineers, satellite communication specialists, and students studying orbital dynamics will benefit from this discussion.

masterofphys
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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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