Skip to main content

Nonlinear Dynamics in the SSC — Experiment E778

  • Chapter
Techniques and Concepts of High-Energy Physics V

Part of the book series: NATO ASI Series ((NSSB,volume 20))

  • 150 Accesses

Abstract

A 1% variation in the cost of an accelerator was not very important forty years ago, when a cyclotron fitted into a single room. Today, when the net cost of an accelerator such as the SSC is measured in billions of dollars, it is much more important to design for an optimum balance between cost and performance. While it is irresponsible to increase the cost of an accelerator more than necessary to make it work “sufficiently” well, it is more irresponsible to construct a machine which almost works, but does not. The problems of large accelerator design lie on the horns of this dilemma. Some aspects of a successful design, such as building in flexibility to enable development in initially unforeseen directions, are almost impossible to quantify. Architectural problems such as these are not addressed here, despite their subtlety and relevance. Neither is the most difficult task addressed — the task of defining what is meant by an accelerator working “sufficiently” well, in terms of needed performance parameters, such as luminosity, lifetime, or linear aperture. Instead, this chapter concentrates on the accelerator physics processes which are expected to limit the performance of the SSC.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References and Footnotes

  1. Poincare, H., Les methods Nouvelles de la Mechanique Celeste. Paris: Gautier-Villars. 1892

    Google Scholar 

  2. Merminga, N., A study of nonlinear dynamics in the Fermilab Tevatron, PhD Thesis, University of Michigan, 1989

    Google Scholar 

  3. Edwards and Syphers, An overview of experiment E778, Proc of the ICFA workshop, Lugano, 1988

    Google Scholar 

  4. Chao et. al., Experimental investigation of nonlinear dynamics in the Fermilab Tevatron, Physical Review Letters p 2752, December 12, 1988.

    Google Scholar 

  5. Chen and Peggs, Tune modulation and the driven differential pendulum, to be published in Proc. of the IEEE Particle Accelerator Conference, Chicago, 1989

    Google Scholar 

  6. Peggs, Saltmarsh, and Talman, Million revolution accelerator beam instrument for logging and evaluation, SSC-169, Berkeley, 1988

    Google Scholar 

  7. Peggs, Hamiltonian theory of the E778 nonlinear dynamics experiment, SSC-175, Berkeley, 1988

    Google Scholar 

  8. Chao et. al., A progress report on Fermilab experiment E778, SSC-156, SSC-CDG, Berkeley, 1988

    Google Scholar 

  9. Merminga et. al., An experimental study of the SSC magnet aperture criterion, Proc. of the EPAC, Rome, 1988

    Google Scholar 

  10. Peterson et. al., Dynamic aperture measurements at the Tevatron, Proc. of the EPAC, Rome, 1988

    Google Scholar 

  11. Landau and Lifshitz, Mechanics, Pergamon press, Oxford, 1976

    Google Scholar 

  12. Arnold, V.I., Mathematical methods of classical mechanics, Springer-Verlag, New York, 1978

    MATH  Google Scholar 

  13. Goldstein, H., Classical mechanics, Addison-Wesley, Menlo Park, 1980

    MATH  Google Scholar 

  14. Lichtenberg and Lieberman, Regular and stochastic motion, Springer-Verlag, New York, 1983

    MATH  Google Scholar 

  15. Many accelerator school proceedings (AIP, CERN, or joint CERN/US) are broadly circulated. Their eclectic contents are well worth browsing, both for basic introductions and for specialized topics. Perhaps the two most classic accelerator physics references are Courant and Snyder and Sands, below.

    Google Scholar 

  16. Courant and Snyder, Theory of the alternating gradient synchrotron, Annals of Physics: 3, 1–48, 1958

    Article  ADS  MATH  Google Scholar 

  17. Sands, M., The physics of electron storage rings, an introduction, SLAC-121, Stanford, 1970

    Google Scholar 

  18. Edwards, D., An introduction to circular accelerators, AIP Conf. Proc. No. 127, 1985

    Google Scholar 

  19. Peggs and Talman, Nonlinear problems in accelerator physics, Annual Reviews of Nuclear Science, 36: 287–325, 1986

    Article  ADS  Google Scholar 

  20. Ruth, R., Single-particle dynamics in circular accelerators, AIP Conf. Proc. No. 127, 1987

    Google Scholar 

  21. Wilson, E., Nonlinear resonances, Proc. of the CERN accelerator school, CERN 87–103, 1987

    Google Scholar 

  22. Edwards and Syphers, An introduction to the physics of particle accelerators, AIP Conf. Proc. No. 184, 1988

    Google Scholar 

  23. This is hinting at conservation of phase space area, as described by Liouvilles theorem. See, for example, Goldstein.

    Google Scholar 

  24. Linac designers and constructors claim that they discovered and used strong focusing first, but failed to communicate the knowledge to the accelerator community.

    Google Scholar 

  25. SSC Central Design Group, Conceptual design of the Superconducting Super Collider, SSC-SR-2020, Berkeley, 1986

    Google Scholar 

  26. Unfortunately there are many slightly different definitions of smear. It is not necessarily possible to convert from one definition to another without making further assumptions about the nature of the motion.

    Google Scholar 

  27. Piwinski, A., IEEE Trans. Nucl. Sci. NS-24: 3, 1977

    Google Scholar 

  28. Peggs and Talman, Phys Rev D 24: 2379, 1981

    Article  ADS  Google Scholar 

  29. Myers, S., LEP Note 362, CERN, Geneva, 1982

    Google Scholar 

  30. Seeman, J., SLAC-PUB-3182, Palo Alto, Stanford, 1983

    Google Scholar 

  31. Keil and Talman, Particle Accelerators 14: 1–2, 109–118, 1983

    Google Scholar 

  32. Courant, E., ISABELLE technical note No. 163, Brookhaven, 1980

    Google Scholar 

  33. Izrailev, Misnev and Tumaikin, Preprint 77–43, Novosibirsk, 1977

    Google Scholar 

  34. Tennyson, J., AIP Conf. Proc. No. 57, New York, 1979

    Google Scholar 

  35. Evans and Gareyte, IEEE trans. Nucl. Sci. NS-30: 4, 1982

    Google Scholar 

  36. Peggs, Particle Accelerators 17: 11–50, 1985

    Google Scholar 

  37. KAM stands for Kolmogorov, Arnold, and Moser.

    Google Scholar 

  38. Moser, J., Nachr. Akad. Wiss. Gottingen, Math. Phys. K1, 1, 1962

    Google Scholar 

  39. Siegel and Moser, J. Grund. Math. Wiss. Bd. 187, Springer-Verlag, Berlin, 1971

    Google Scholar 

  40. Chirikov, B., Phys. Rep. 52: 265, 1979

    Article  MathSciNet  ADS  Google Scholar 

  41. Henon, M., Appl. Math., No. 3: 291, 1969

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Plenum Press, New York

About this chapter

Cite this chapter

Peggs, S. (1990). Nonlinear Dynamics in the SSC — Experiment E778. In: Ferbel, T. (eds) Techniques and Concepts of High-Energy Physics V. NATO ASI Series, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8001-0_7

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-8001-0_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-8003-4

  • Online ISBN: 978-1-4615-8001-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics