Differential Relationships Between Momentum Magnetic Field, Orbit Length, and Revolution Frequency

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Description

The purpose of this memo is to put down, in one place, a number of commonly used accelerator formulae. I'll also comment briefly on the derivation of these relationships. Nothing in this memo is my original work. All of this was developed many years ago by the brilliant founders of the field of Accelerator Physics. The widely used differential relationships between beam momentum (p), dipole magnetic field (B), orbit length (L), and revolution frequency (f) are given in Table 1.

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4 pages

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Werkema, Steve February 9, 2001.

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Description

The purpose of this memo is to put down, in one place, a number of commonly used accelerator formulae. I'll also comment briefly on the derivation of these relationships. Nothing in this memo is my original work. All of this was developed many years ago by the brilliant founders of the field of Accelerator Physics. The widely used differential relationships between beam momentum (p), dipole magnetic field (B), orbit length (L), and revolution frequency (f) are given in Table 1.

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4 pages

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  • Report No.: FERMILAB-PBAR-NOTE-655
  • Grant Number: AC02-07CH11359
  • DOI: 10.2172/984579 | External Link
  • Office of Scientific & Technical Information Report Number: 984579
  • Archival Resource Key: ark:/67531/metadc1013800

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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.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • February 9, 2001

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  • Oct. 14, 2017, 8:36 a.m.

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  • Nov. 3, 2017, 9:28 p.m.

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Thumbnail image of item number 1 in: 'Differential Relationships Between Momentum Magnetic Field, Orbit Length, and Revolution Frequency'.
Thumbnail image of item number 2 in: 'Differential Relationships Between Momentum Magnetic Field, Orbit Length, and Revolution Frequency'.
Thumbnail image of item number 3 in: 'Differential Relationships Between Momentum Magnetic Field, Orbit Length, and Revolution Frequency'.
Thumbnail image of item number 4 in: 'Differential Relationships Between Momentum Magnetic Field, Orbit Length, and Revolution Frequency'.

PDF Version Also Available for Download.

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Werkema, Steve. Differential Relationships Between Momentum Magnetic Field, Orbit Length, and Revolution Frequency, report, February 9, 2001; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc1013800/: accessed September 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.