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How can the optimal number of satellites in an orbital plane be determined?

How can the optimal number of satellites be determined for a plane of satellites? Specifically, I would like to see how to do this in general, and a specific example worked out, such as the following:

  • Altitude - 780 km
  • Horizon - 5 degrees
  • Overlap - Let's say that there should be 200km overlap (or something in that range) for each satellite track, to ensure a reasonable continuity.
PearsonArtPhoto
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