Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-29T17:23:01.818Z Has data issue: false hasContentIssue false

Confinement times in quasi-trapping orbits

Published online by Cambridge University Press:  13 March 2009

D. C. Scheetz
Affiliation:
Department of Physics, University of South Florida, Tampa, Florida 33620
R. W. Flynn
Affiliation:
Department of Physics, University of South Florida, Tampa, Florida 33620

Abstract

Baker proposed a method of injecting charged particles into a static magnetic field such that particles on these ‘trapping orbits’ never return to the vicinity of the injector and remain permanently trapped. Their infinite confinement time requires that their energy, Eo, be specified with infinite precision. When the energy differs from this by a small amount, E, the particle escapes after a finite confinement time, of the order of In (Eo/E) cyclotron periods.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1978

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Baker, D. A. 1964 Am. J. Phys. 33, 347.CrossRefGoogle Scholar
Bradbury, T. C. 1968 Theoretical Mechanics, p. 172. Wiley.Google Scholar
Hogan, W. A. & Lamborn, B. N. A. 1971 Phys. Fluids, 14, 1006.CrossRefGoogle Scholar
Hubert, P. & Touche, J. 1967 Phys. Fluids, 10, 1676.CrossRefGoogle Scholar
Kerst, D. W. & Serber, R. 1941 Phys. Rev. 60, 53.CrossRefGoogle Scholar
Lafferty, D. L. & Lamborn, B. N. A. 1963 a Phys. Fluids, 6, 1500.CrossRefGoogle Scholar
Lafferty, D. L. & Lamborn, B. N. A. 1963 b Phys. Fluids, 6, 1559.CrossRefGoogle Scholar
Livingston, M. S. & Blewett, J. P. 1962 Particle Accelerators. McGraw Hill.Google Scholar
Scheetz, D. C. 1977 M.A. Thesis, University of South Florida.Google Scholar
Wingerson, R. C., Dupree, T. H. & Rose, D. L. 1964 Phys. Fluids, 7, 1475.CrossRefGoogle Scholar