Superconvergent tracking and invariant surfaces in phase space

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Description

The question of long term beam stability in very large storage rings presents an extraordinary challenge in nonlinear dynamics. Since current computational methods seem less than adequate on the long time scales involved, we have undertaken a program of evaluating several methods that either are new or have not been tried in accelerator problems heretofore. The methods we investigate fall into two categories: (1) iteration of maps describing concatenated machine elements, for tracking of single particles, and (2) infinite-time methods for direct computation of invariant surfaces in phase space.

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Pages: 4

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Ruth, R.D.; Raubenheimer, T. & Warnock, R.L. April 1, 1985.

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Description

The question of long term beam stability in very large storage rings presents an extraordinary challenge in nonlinear dynamics. Since current computational methods seem less than adequate on the long time scales involved, we have undertaken a program of evaluating several methods that either are new or have not been tried in accelerator problems heretofore. The methods we investigate fall into two categories: (1) iteration of maps describing concatenated machine elements, for tracking of single particles, and (2) infinite-time methods for direct computation of invariant surfaces in phase space.

Physical Description

Pages: 4

Notes

NTIS, PC A02/MF A01.

Source

  • Particle accelerator conference, Vancouver, Canada, 13 May 1985

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  • Other: DE85013051
  • Report No.: SLAC-PUB-3660
  • Report No.: CONF-850504-75
  • Grant Number: AC03-76SF00515
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 5673876
  • Archival Resource Key: ark:/67531/metadc1093828

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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Creation Date

  • April 1, 1985

Added to The UNT Digital Library

  • Feb. 10, 2018, 10:06 p.m.

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  • April 18, 2018, 12:09 p.m.

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Ruth, R.D.; Raubenheimer, T. & Warnock, R.L. Superconvergent tracking and invariant surfaces in phase space, article, April 1, 1985; United States. (digital.library.unt.edu/ark:/67531/metadc1093828/: accessed June 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.