Thinsat Area

Triangular Thinsat area

Assume rounded corners for circular electrochromic thrusters.

Start with two dimensions - thruster diameter D, and thruster-to-thruster spacing S defining the sides of an equilateral triangle within the body of the thinsat. We can decompose the thinsat into three kinds of area:

the central triangle, between the centers of the thrusters
three outside 120° wedges of thruster
three outside rectangular strips along the edges of the triangle

thruster to thruster spacing S		cm	17.32	15.00
thruster diameter D		cm	5.00	5.00
Height	{ \sqrt{ 3 } \over 2 } S + D	cm	20.00	17.99
Width	S + D	cm	22.32	20.00
Central Triangle area	{ \sqrt{ 3 } \over 4 } S^2	cm²	129.90	97.43
3 Thruster wedges area	{ \pi \over 4 } D^2	cm²	19.63	19.63
3 edge strips area	1.5 * S * D	cm²	129.90	112.50
total area		cm²	279.44	229.56