Differences between revisions 2 and 3
Revision 2 as of 2013-01-30 20:58:03
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Revision 3 as of 2013-01-30 21:08:10
Size: 1359
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Deletions are marked like this. Additions are marked like this.
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||<)-2> thruster to thruster spacing $ S $ || cm ||<)> 17.32 ||
||<)-2> 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 $ || cm^2^ ||<)> 129.90 ||
|| 3 Thruster wedges area || $ { \pi \over 4 } D^2 $ || cm^2^ ||<)> 19.63 ||
|| 3 edge strips area || $ 1.5 * S * D $ || cm^2^ ||<)> 129.90 ||
||<)-2> total area || cm^2^ ||<)> 279.44 ||
||<)-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 ||

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

ThinsatArea (last edited 2013-01-30 21:08:33 by KeithLofstrom)