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Book On the Nonadiabatic Motion of a Charged Particle in an Axisymmetric Magnetic Barrier

Download or read book On the Nonadiabatic Motion of a Charged Particle in an Axisymmetric Magnetic Barrier written by John Reece Roth and published by . This book was released on 1963 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study was made of the motion of a single charged particle in the magnetic induction generated by an axisymmetric current sheet, the current of which was sinusoidally modulated along the axis. Several adiabatically invariant quantities were investigated, and it was found that M varied least along a given trajectory. A particle was considered to be adiabatic if M varied by less than 5% during a single interaction with the magnetic barrier. An averaging process was found which made it possible to predict the relations between particle mass and energy, and the magnetic induction strength and geometry, which cause M to vary by more than 5% during a single interaction with the magnetic barrier. Experimental apparatus was constructed which made it possible to study a single interaction of a beam of charged particles with a magnetic barrier under steady-state conditions. An experimental procedure was developed which made it possible to detect the transition from adiabatic to nonadiabatic reflection of the ion beam, and the results were compared with the results of the numerical computation. (Author).

Book NASA Technical Note

    Book Details:
  • Author :
  • Publisher :
  • Release : 1967
  • ISBN :
  • Pages : 680 pages

Download or read book NASA Technical Note written by and published by . This book was released on 1967 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Controlled Fusion and Plasma Research

Download or read book Controlled Fusion and Plasma Research written by and published by . This book was released on 1965 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book NASA Technical Memorandum

Download or read book NASA Technical Memorandum written by and published by . This book was released on 1991 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nuclear Science Abstracts

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1970 with total page 1774 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book TID

Download or read book TID written by and published by . This book was released on 1965 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field

Download or read book Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field written by and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of a charged particle in a static magnetic field is studied by means of repeated canonical transformations of a Hamiltonian system. Adiabatic invariants are generated based on the assumption that the particle larmor radius is small compared with the characteristic distance over which the magnetic field varies. Unlike many earlier treatments the transformations presented here preserve the axisymmetry of the dynamics when the magnetic field is axisymmetric. It is assumed that the magnetic field consists of a small nonaxisymmetric part plus the axisymmetric toroidal and poloidal parts. After the introduction of the magnetic moment adiabatic invariant the motion of the guiding center is studied. The results depend sensitively on the ratio of the poloidal magnetic field to the total magnetic field. In some cases a second adiabatic invariant exists and direct inferences concerning long time particle drifts are possible. In one case where a second adiabatic invariant fails to exist, long term drifts are studied by conventional perturbation expansions. At some points resonance or lack of resonance phenomena appear and determine the drift effects.

Book The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field  Classic Reprint

Download or read book The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field Classic Reprint written by Harold Weitzner and published by Forgotten Books. This book was released on 2017-12-22 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field The motion of a single charged particle in a given magnetic field, one of the first problems studied in plasma physics, (1) has recently become of interest again. Two topics of immediate significance in magnetic fusion energy research have sparked the current concernzlz) the confinement of high energy alpha particles and the drift motion of moderate energy particles induced by small magnetic fields that break axial symmetry. The large body of older theory has been used to provide a base for extensive numerical computations. Here, we examine the problemiwith analytic tools to discover what improved descriptions of single particle motion we are able to provide. The critical concept in the study of the single particle dynamics is the existence of adiabatic invariants of the motion which allows great simplifications in the study of the dynamics. The adiabatic invariants are associated with the presence of a physical parameter which is small, the ratio of the larmor radius to the characteristic distance over which magnetic fields vary; and we denote this parameter by 6. Unlike the earlier treatments we assume that parts of the axisymmetric magnetic field may be small in e and we also take the symmetry breaking field to be small in e. Not surprisingly, we find that these assumptions do allow considerably more analysis than is possible without them. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Book A Selected Listing of NASA Scientific and Technical Reports for

Download or read book A Selected Listing of NASA Scientific and Technical Reports for written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and published by . This book was released on 1966 with total page 2088 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Selected Listing of NASA Scientific and Technical Reports for 1966

Download or read book A Selected Listing of NASA Scientific and Technical Reports for 1966 written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and published by . This book was released on 1967 with total page 2084 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book NASA Scientific and Technical Reports

Download or read book NASA Scientific and Technical Reports written by United States. National Aeronautics and Space Administration Scientific and Technical Information Division and published by . This book was released on 1967 with total page 2300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Technical Abstract Bulletin

Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nuclear Science Abstracts

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1964 with total page 1528 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Engineering Graduate Study Directory

Download or read book Engineering Graduate Study Directory written by and published by . This book was released on 1964 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: