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3

Perhaps you are looking for a relationship in the form of (or wondering whether such a relationship exists): Nmin(A_cap,n) = μ(n) * (A_Earth/A_cap) A_cap: area of an instantaneous coverage by a single satellite, constant in time (circular orbits), modelled as a spherical cap. Nmin: smallest number of satellites in a practical constellation that can provide ...


6

Some notes on your approach, which I believe is a good one as a first order approximation. Doing this I belive I'm overestimating the number of satellites I would rather say it has to be an underestimate. Circles do not perfectly tile. To achieve a 1-fold coverage, for instance, there must be some overlap, requiring $\frac{2\pi}{3\sqrt{3}} \approx 1.21$ ...


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