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:

Expected "%" after "2", got ")"
Expected "%" after "2", got ")"

thruster to thruster spacing S

cm

17.32

Expected "%" after "2", got ")"

thruster diameter D

cm

5.00

Height

{ \sqrt{ 3 } \over 2 } S + D

cm

20.00

Width

S + D

cm

22.32

Central Triangle area

{ \sqrt{ 3 } \over 4 } S^2

cm2

129.90

3 Thruster wedges area

{ \pi \over 4 } D^2

cm2

19.63

3 edge strips area

1.5 * S * D

cm2

129.90

Expected "%" after "2", got ")"

total area

cm2

279.44