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<center><b><u>For the next part we assuming the center of the first fiber column's front face is on the focal plane where an E<sub>&gamma;<sub>o</sub></sub> post-bremsstrahlung electron will cross and the bundle support is placed at an angle &beta;<sub>avg</sub></u></b></center>
 
<center><b><u>For the next part we assuming the center of the first fiber column's front face is on the focal plane where an E<sub>&gamma;<sub>o</sub></sub> post-bremsstrahlung electron will cross and the bundle support is placed at an angle &beta;<sub>avg</sub></u></b></center>
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[[Image:Bundle_support_FP_shift.jpg|right|thumb|500px|Figure 22: Sketch showing the displacement needed to move the "pivot point" to the focal plane for &beta; &ne; 12<sup>o</sup>, while maintaining the first fiber column on the E<sub>&gamma;<sub>o</sub></sub> electron's path.]]
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[[Image:Bundle_support_FP_shift.jpg|right|thumb|450px|Figure 22: Sketch showing the displacement needed to move the "pivot point" to the focal plane for &beta; &ne; 12<sup>o</sup>, while maintaining the first fiber column on the E<sub>&gamma;<sub>o</sub></sub> electron's path.]]
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   </ul>
 
   </ul>
 
   <li style="padding-bottom: 16px;">Utilizing the y-displacement value found above and the tangent of &beta;<sub>avg</sub>, calculate the associated x-displacement along the focal plane to keep column #1 aligned to the electrons associated with  E<sub>&gamma;<sub>o</sub></sub></li>
 
   <li style="padding-bottom: 16px;">Utilizing the y-displacement value found above and the tangent of &beta;<sub>avg</sub>, calculate the associated x-displacement along the focal plane to keep column #1 aligned to the electrons associated with  E<sub>&gamma;<sub>o</sub></sub></li>
  <li>Next determine the locations of the bundle support mounting rods in focal plane coordinates</li>
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</ul>
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      <li>Figure 21 shows the required dimensions for these calculations</li>
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      <li>For x locations, include x<sub>1</sub> (for E<sub>&gamma;<sub>o</sub></sub> electrons) in addition to the rods' displacement from the front center of the first fiber column</li>
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      <li>For y locations, we assume y<sub>1</sub> (for E<sub>&gamma;<sub>o</sub></sub> electrons) lies on the focal plane y-axis</li>
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[[Image:Tow2.png|center|thumb|700px|Figure 25: Zoomed in version of the CAD image in Figure 23. The dY_2 (&Delta;Y<sub>2</sub>) is the amount in Y<sub>FP</sub> that the bundle must shift in order to return the pivot point of bundle support #2 to the focal plane after it's &beta;<sub>avg<sub>2</sub></sub> has adjusted for the required "tow."]]
 
[[Image:Tow2.png|center|thumb|700px|Figure 25: Zoomed in version of the CAD image in Figure 23. The dY_2 (&Delta;Y<sub>2</sub>) is the amount in Y<sub>FP</sub> that the bundle must shift in order to return the pivot point of bundle support #2 to the focal plane after it's &beta;<sub>avg<sub>2</sub></sub> has adjusted for the required "tow."]]
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<ul>
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  <li>Next determine the locations of the bundle support mounting rods in focal plane coordinates</li>
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  <ul>
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      <li>Figure 21 shows the required dimensions for these calculations</li>
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      <li>For x locations, include x<sub>1</sub> (for E<sub>&gamma;<sub>o</sub></sub> electrons) in addition to the rods' displacement from the front center of the first fiber column</li>
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      <li>For y locations, we assume y<sub>1</sub> (for E<sub>&gamma;<sub>o</sub></sub> electrons) lies on the focal plane y-axis</li>
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      <li>The Excel spreadsheet provides calculations for the corners of the upstream bundle halves for each bundle support. As shown in Figure 26 below, it is easiest to determine the forward rod location from the upstream bundle half corner closest to the magnet.</li>
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      <li style="padding-bottom: 16px;">The rear support rod is 5.25 inches, see Figure 21, from the forward support rod along the bundle support's longitudinal axis.</li>
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  </ul>
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</ul>
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[[Image:Rod_position.png|center|thumb|700px|Figure 26: Image of a lone bundle support. This image shows the center of column #1 on on the focal plane. This is the starting point for bundle support #1, but the equations are also useful in the Excel file when determining the beginning and end energy range covered by each bundle support.]]
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   <li style="padding-bottom: 16px;"></li>
 
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