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A Study of the Second-Difference Method for Radial Magnet Alignment

Mathews, Jon (1962) A Study of the Second-Difference Method for Radial Magnet Alignment. Synchrotron Laboratory, CTSL-36. California Institute of Technology , Pasadena, CA. (Unpublished)

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Preliminary estimates indicate that the cost of surveying the main ring of the proposed 300-BeV cascade synchrotron will be quite high, because of the large diameter (~ 1-1/2 miles) and small tolerances (~ 0.005 inch). Courant and Sands have suggested replacing conventional surveying techniques by a scheme in which the only measurements to be made are local, relating each magnet to its neighbors. In principle, these measurements would enable one to determine the magnet positions (to within an overall translation and/or rotation) much more simply than by conventional techniques. Furthermore, the procedure of measurement and adjustment could be carried out completely automatically, if desired. The principle difficulty with the method lies in the accumulation of errors from the large number of observations. In order to study this phenomenon, we have considered in some detail a model scheme of this type. In Section II we describe the scheme, in Section III we outline the solution in the absence of measurement errors, and in Section IV we consider the effect of such errors.

Item Type:Report or Paper (Technical Report)
Additional Information:© 1962 California Institute of Technology.
Group:Synchrotron Laboratory
Funding AgencyGrant Number
Atomic Energy CommissionAT(11-1)-68
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Other Numbering System NameOther Numbering System ID
Series Name:Synchrotron Laboratory
Issue or Number:CTSL-36
Record Number:CaltechAUTHORS:20180130-104947145
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84576
Deposited By: Joy Painter
Deposited On:01 Feb 2018 00:56
Last Modified:03 Oct 2019 19:20

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