ON ACCELERATORS WITH "SIMILAR ORBITS"

Journal Article · Tue Jan 01 04:00:00 EST 1957 · Atomnaya Energiya

DOI:https://doi.org/10.1007/BF01522502· OSTI ID:4332836

Kolomenskiy, A A

The conditions which a magnetic system has to fulfill so that the frequencies of the radial as well as the vertical betatron oscillations do not depend on the momentum of the particles to be accelerated are deduced theoretically. The orbits are called dynamically simliar ones.'' In such systems, in principle, the build-up of betatron oscillations, which are related to the synchrotron oscillations and other phenomena, should not be present. A magnetic field with H/sub o/( theta )( nu /sub o// nu )/sup no/, where n/sub o/ is con stant, guarantees geometrically, as well as dymanically, similar orbits. In slightly focusing accelerators with sectors and in highly focusing synchrophasotrons (Russian cosmotron and betatron) there are no dynamically similar orbits. In order to obtain this similarity for the first case, in addition to n/sub o/ = constant, the single sectors of the magnet must have a center in common. For the specific case of the annular phasotron (synchrocyclotron), the following conditions are investigated, the centers of the adjacent sectors are situated on different sides of the ring, and the centers of the adjacent sectors are coincident in the center of the accelerator. In the latter case dynamically similar orbits exist. The possibility of constructing an annular phasotron so that, in the ring, two particles can steadily move in opposite directions at the same time is discussed. (TCO)

• Research Organization: Originating Research Org. not identified
• Sponsoring Organization: USDOE
• NSA Number: NSA-12-011095
• OSTI ID: 4332836
• Journal Information: Atomnaya Energiya, Journal Name: Atomnaya Energiya Vol. Vol: 3
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ACCELERATORS
BETATRONS
CHARGED PARTICLES
CONFIGURATION
CYCLOTRONS
FREQUENCY
MAGNETIC FIELDS
MAGNETS
MOMENTUM
OPTICAL SYSTEMS
ORBITS
OSCILLATIONS
PHYSICS
PLANNING
SYNCHROCYCLOTRONS
SYNCHROTRONS