The Warm Iron Geometry of the ?Average? RHIC Dipole Page: 3 of 7
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points (at approximately 50 and 330 inches) are not well fit. By contrast, the
dashed line gives an excellent fit to these points. In this case the iron geometry
is modeled as a constant radius arc in the center, with straight sections 0.85
meters long at both ends of the dipole iron. This composite geometric model
is physically plausible, given the procedure by which Northrop-Grumman bend
an originally straight magnet.
Quantity Units Design Model
Iron are length [m] 9.7282 9.7165
Iron total sagitta [in] 1.91 .03 1.906
Iron end straight length [m] 0.0 0.85
Iron radius [m] (243.834) (236.297)
Iron arc HALF angle [rad] (.019948) (.016963)
Radial fiducial offset [in] 4.8 4.804
Tangential fiducial offset [in] 5.0 4.912
Tangential beam tube offset [in] 14.875 14.646
Mechanical pivot radial offset [in] .0 .050
Table 1: Mechanical parameters that were directly measured from, or were ad-
justed to best fit, the average dipole, according to "magstat" and "qaf" data.
Dependent values (in parentheses) are derived from the three independent pa-
rameters directly above them in the table.
The first three rows in Table 1 are the primary variables in the iron geometry
model. The iron arc length and the iron total sagitta are simply the averages
of Northrop-Grumman data recorded in "magbase", while the iron end straight
length has been adjusted to best fit the data in Figure 1. As the straight length
increases, both the iron radius and the iron arc angle are constrained to decrease.
This is shown in the (output) parameters also listed in the table, as derived by
the code DRG.GEOM .
Note that if the fit curves are extrapolated in a straight line beyond the
ends of the iron, the dashed line is radially outside the solid line. This explains
why the old "theoretical" iron geometry model causes the dipoles ends to be
systematically displaced, outwards.
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S., Peggs; Tepikian, S.; Trbojevic, D. & Wei, J. The Warm Iron Geometry of the ?Average? RHIC Dipole, report, July 1, 1995; United States. (https://digital.library.unt.edu/ark:/67531/metadc868164/m1/3/: accessed April 23, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.