Thinsat Charging and Array Spreading Forces

Assume N thinsats are charged to voltage V_th and are spaced L units apart in an approximately triangular geodesic grid mapped on a sphere. The area of the unit cell is √3/2 L², the area of the sphere is √3/2 L² N = 4 π R², so

R ~=~ \sqrt{ { \Large { \sqrt{ 3 } \over { 8 \pi } } } N } ~ L ~\approx~ 0.26252 \sqrt{ N } ~ L

All those decimal places about to go to waste ...

If the voltage on each thinsat is 800V, the charge is 5223 picoColomb per thinsat. If the sphere is 7842 thinsats (icosahedral geodesic sphere with tiling ratio V = 28) and L = 2 meters then R = 46.49 M . The capacitance of a sphere is 4πε₀ R , so we will approximate the capacitance of this geodesic sphere as 5172.7 pF and the total charge as 40.965 μColomb so the "average voltage" of the sphere is 7919 V ... oh, really? Let's see where this goes ...

The energy stored assembling this sphere is 1

More later ... not looking good