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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.]]
 
[[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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==Fitting the Position of Each Bundle Support Mounting Rod to a Straight Line==
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At this point the exact location for each bundle support rod is known. These locations place the scintillating fibers of each bundle support at their optimal location. Unfortunately these locations deviate slightly from a straight line. To correct this deviation and find a compromise the their location that's within the TAGM required tolerance, we must use ROOT and fit a first order polynomial to the calculated locations. A template C++ file [http: (TAGM_8GeV_Bundle_Rod_Fit.C)] has been written for this purpose. Once the arrays used for the rods' x and y locations are updated for the desired tagging energy spectrum, then the macro can be run or the code can be copy & pasted directly into ROOT's command line. The generated histograms, for the forward and rear rods, can then be fitted to a first order polynomial (pol1) using the Fitting Tool. Several fit equations are already recorded in a text file [http (TAGM_Weights.txt)]. The fits are then utilized back in the Excel file to determine the "Y-Fit" location for each rod X location. This way the parallel rails can be orientated based on these numbers and the three rail components required for the TAGM move can be designed.
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<ul>
 
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   <li style="padding-bottom: 16px;">Copy and paste the locations for the bundle support rods into the the fitting file [http: (TAGM_8GeV_Bundle_Rod_Fit.C)] and run in ROOT.</li>
 
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  <li>Fit the histograms to a straight line and input the resulting fit equations into both [http TAGM_Weights.txt] and the Excel file [http (Bundle-Support-4-2021).] </li>
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  <ul>
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      <li style="padding-bottom: 16px;">The Excel file will provide the "Fit-Y" locations that are used in the CAD drawing to design the three unique parallel rail pieces that are needed for each TAGM move.</li>
 
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  </ul>
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  <li>Using [http: Beta_Manipulation2.dwg], rotate each bundle support by its &beta; angle then locate the forward rod at the fit position determined by the previous step.</li>
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  <li>With all bundle supports in the fit determined location (forward rod), draw a straight line through the center of the forward rods and through the best fit of the rear rods.</li>
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      <li>Using these two straight lines realign the parallel rails.</li>
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      <li>The Excel file also contains a distance from the parallel rail upstream tapped hole to where the first bundle should start, so as to allow for screw heads to fit.</li>
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  </ul>
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  <ul>
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   <li style="padding-bottom: 16px;">Finally use CAD to design the parallel rail support components needed for the move. See below, Figure 27 - 30, for the 6 GeV starting point drawings.</li>
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  </ul>
 
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[[Image:parallel_railing.png|center|thumb|400px|Figure 27: CAD image of a the parallel rails.]]
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[[Image:Upstream_parallel_rail.png|center|thumb|400px|Figure 28: CAD image of a the upstream top guide plate for the parallel rails.]]
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[[Image:Downstream_parallel_rail.png|center|thumb|400px|Figure 29: CAD image of a the downstream guide bar for the parallel rails.]]
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[[Image:parallel_railing.png|center|thumb|400px|Figure 30: CAD image of the upstream guide bar.]]
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[[Image:parallel_railing.png|center|thumb|400px|Figure 31: CAD image of the downstream guide bar.]]
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[[Image:SciFi-on-Popsicle-Stick.png|center|thumb|400px|Figure 12: CAD image of a bundle support (blue) with a mounted 5x6 fiber bundle. The 'S' bend minimizes the amount of fiber in the path of the electrons.]]
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[[Image:parallel_railing.png|center|thumb|400px|Figure 32: CAD image of the top guide plate.]]
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