ORBIT DYNAMICS IN THE SPIRAL-RIDGED CYCLOTRON

Technical Report · Mon Jan 12 04:00:00 EST 1959

OSTI ID:4273576

Smith, L; Garren, A A

Formulas are derived for the equilibrium orbit, isochronous condition, vertical and horizontal betatron frequencies, and for the effects of the 3/3 radial resonance in a three-fold geometry. The magnetic field is represented by a Fourier series in azimuth with amplitudes expanded in a Taylor series about the reference radius. The form is such that the various parameters may be deduced from an arbitrary set of field measurements in the median plane and the results obtained by direct substitution in algebraic formulas. (auth)

• Research Organization: California Univ., Berkeley, CA (US). Lawrence Radiation Lab.
• DOE Contract Number: W-7405-ENG-48
• NSA Number: NSA-13-005627
• OSTI ID: 4273576
• Report Number(s): UCRL-8598
• Country of Publication: United States
• Language: English

Related Subjects

BETATRONS
CONFIGURATION
CYCLOTRONS
EQUATIONS
FOURIER ANALYSIS
FREQUENCY
MAGNETIC FIELDS
MATHEMATICS
MEASURED VALUES
MOTION
NUMERICALS
ORBITS
OSCILLATIONS
PARTICLE ACCELERATORS AND HIGH-VOLTAGE MACHINES
POWER SERIES
RESONANCE
SPIRAL SECTOR ACCELERATORS
STABILITY