#format jsmath
= Thinsat Area =
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=== 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 

||<)-2>                    thruster to thruster spacing $ S $ || cm    ||<)>  17.32 ||<)>  15.00 ||
||<)-2>                               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   $ || cm^2^ ||<)> 129.90 ||<)>  97.43 ||
|| 3 Thruster wedges area || $ { \pi        \over 4 } D^2   $ || cm^2^ ||<)>  19.63 ||<)>  19.63 ||
|| 3 edge strips  area    || $ 1.5 * S * D                  $ || cm^2^ ||<)> 129.90 ||<)> 112.50 ||
||<)-2>                                            total area || cm^2^ ||<)> 279.44 ||<)> 229.56 ||