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

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.

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.

Physical Description

4 pages

Creation Information

Werkema, Steve February 9, 2001.

Context

This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this report can be viewed below.

Who

People and organizations associated with either the creation of this report or its content.

Author

Sponsor

Publisher

Provided By

UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

About | Browse this Partner

Contact Us

Corrections Questions

What

Descriptive information to help identify this report. Follow the links below to find similar items on the Digital Library.

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.

Physical Description

4 pages

Language

Item Type

Identifier

Unique identifying numbers for this report in the Digital Library or other systems.

  • 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

Collections

This report is part of the following collection of related materials.

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.

About | Browse this Collection

What responsibilities do I have when using this report?

Digital Files

When

Dates and time periods associated with this report.

Creation Date

  • February 9, 2001

Added to The UNT Digital Library

  • Oct. 14, 2017, 8:36 a.m.

Description Last Updated

  • Nov. 3, 2017, 9:28 p.m.

Usage Statistics

When was this report last used?

Congratulations! It looks like you are the first person to view this item online.
More Statistics

Interact With This Report

Here are some suggestions for what to do next.

Start Reading

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.

Citations, Rights, Re-Use

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 April 26, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.