Nuclear Techniques ›› 2019, Vol. 42 ›› Issue (10): 100202-100202.doi: 10.11889/j.0253-3219.2019.hjs.42.100202


Smoothing analysis of the particle accelerator beam orbit by moving least squares

Zhonghe LIU1,Zongchun LI1(),Yinggang GUO1,Hua HE1,Wenbin ZHAO2   

  1. 1. The Chinese People's Liberation Army Strategic Support Force Information Engineering University, Zhengzhou 450001, China
    2. Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China
  • Received:2019-05-07 Revised:2019-07-16 Online:2019-10-13 Published:2019-10-16
  • Contact: Zongchun LI
  • About author:LIU Zhonghe, male, born in 1995, graduated from Henan University of Science and Technology in 2017, master student, focusing on precise engineering survey

Abstract: Background

The particle accelerator has a short downtime and requires high relative accuracy between magnets.


This study aims to improve the smoothing analysis efficiency of beam orbit by using moving least squares method.


Firstly, the original smoothed data was preprocessed to make the ring magnet data linearly distributed. Secondly, the fitting area was meshed, the grid points were extracted and the appropriate basis function and weight function were selected. Then, three indicators of the smooth analysis were given and the whole calculation process was designed. Finally, the smoothing effects of the averaging method, the least squares fitting and iteration method and the method of this paper were compared and analyzed by simulation data.


The experimental results show that the fitting curve obtained by the method of this paper is the smoothest and the magnet adjustment times are the least under the same conditions.


To a certain extent, the adjustment time is saved and the adjustment efficiency is improved.

Key words: Moving least squares, Beam orbit, Smoothing analysis, Compact support domain

CLC Number: 

  • TL505