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Charged particle trajectories in simple nonuniform magnetic fields

 

作者: Jane M. Repko,   Wayne W. Repko,   Allan Saaf,  

 

期刊: American Journal of Physics  （AIP Available online 1991）
卷期: Volume 59, issue 7  

页码: 652-655

 

ISSN:0002-9505

 

年代: 1991

 

DOI:10.1119/1.16788

 

出版商: American Association of Physics Teachers

 

关键词: TRAJECTORIES;MAGNETIC FIELDS;CHARGED PARTICLES;JACOBIAN FUNCTION;EQUATIONS OF MOTION

 

数据来源: AIP

 

摘要:

The motion of charged particles in magnetic fields whose magnitude varies as a power of one of the coordinates in the plane of the motion is investigated. For interesting power laws, the parametric equations for the trajectory are expressible in terms of Jacobi elliptic functions. These represent a rather natural generalization of the elementary trigonometric solutions that are encountered in the case of a constant magnetic field.

 

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