scholarly journals Bunch-by-bunch three-dimensional position and charge measurement in a storage ring

2021 ◽  
Vol 24 (3) ◽  
Author(s):  
Xingyi Xu ◽  
Yongbin Leng ◽  
Yimei Zhou ◽  
Bo Gao ◽  
Jian Chen ◽  
...  
Keyword(s):  
Storage Ring ◽  
Three Dimensional ◽  
Charge Measurement

Effects of magnets with non-unit magnetic permeability on an elliptically polarizing undulator

1998 ◽  
Vol 5 (3) ◽  
pp. 478-480 ◽  
Author(s):  
Ch. Wang ◽  
L. H. Chang ◽  
C. H. Chang ◽  
M. C. Lin ◽  
C.-S. Hwang ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Shift ◽  
Field Strength ◽  
Magnetic Field Strength ◽  
Storage Ring ◽  
Magnetic Permeability ◽  
Three Dimensional ◽  
Third Generation ◽  
Compensation Mechanism ◽  
Active Compensation

This study employs the three-dimensional magnetostatic code TOSCA to assess numerically the effects of NdFeB magnets with non-unit magnetic permeability on an elliptically polarizing undulator. A reduction of a few percent of the on-axis magnetic field strength is predicted. In addition, a deviation of ±100 G cm uncompensated dipole steering is predicted in a phase shift of 180° for the elliptically polarizing undulator EPU5.6 (having a period length of 56 mm) at the minimum gap of 18 mm, which is related primarily to the configuration of the device end scheme. Results presented herein demonstrate that implementing an active compensation mechanism is a prerequisite for minimizing the orbit distortion during phase-shift adjustment, particularly for operating such a polarizing undulator in a third-generation machine having a median energy similar to that of the 1.5 GeV storage ring at SRRC.

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

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