Correction of Main Ring Quadrupole Positions Using Closed Orbit Information

The computer program OTRIM is described and results are preseneted for some simple cases. The program calculates corrections to be applied to the transverse positions of the Main Ring quadrupoles. The input data consists of a set of measurements of the transverse position of the closed orbit relative to the quadrupoles -- the beam sensor readings.

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[1]

L. Jackson Laslett, ~5-20, January, 1968. The estimate is contained in a letter from Dr. Laslett to Dr. Wilson, dated December 21, 1967. It was obtiined for the horizontal direction and assumed that the quadrupoles were located horizontally by making offset measurements relative to a polygon of 200 sides. Only the errorsin the offset measurements were considered. The estimate then follows from a formula derived by T.L. Collins and Lloyd Smith in UCID-10161, p 17. The same estimate applies for the vertical direction if we assume that, in the vertical direction also, the displacement errors of individual quadrupoles are uncorrected. 2 A.A. Garren, TS-2, 1968. 3 J. Bellendir and L.C. Teng, FN-182 0400 March 12, 1969. 4 G.R. Lambertson and L. Jackson Laslett, FN-189 0420 May 21, 1969. 5 Proceedings, V A.A. Garren and J.W. Eusebio International Conference on High Energy Accelerators, Frascati, 1965 (C.N.E.N., Rome, 1966) pp. 26-33. Also same authors, Proceedings of VI International Conference on High Energy Accelerators, Cambridge, 1967. pp. 226-227. 6 SYNCH, A Computer System for Synchrotron Design and Orbit Analysis, Lawrence Radiation Laboratory Report UCID-10153, April 10

N.A.L. Design Report

[1965]

7

Burton S. Garbow

[1965]

ANL F202S, System/360 Library Subroutine, -22TM-200 0402 Applied Mathematics Division, Argonne National Laboratory, December, 1967 Revised, June 1968. The subroutine is set up for easy conversion to CDC 6600 use. 8. , AS/Accelerator Systems/03, July 14, 1965 and September 20

L. Jackson Laslett