Compression of Characteristics of Trajectories in Rotating Frames vs. Nonuniform Magnetic Fields

Haiduke Sarafian

doi:10.4236/jemaa.2013.58053

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Journal of Electromagnetic Analysis and ... > Vol.5 No.8, August 2013

Compression of Characteristics of Trajectories in Rotating Frames vs. Nonuniform Magnetic Fields ()

Haiduke Sarafian

University College, The Pennsylvania State University, York, USA.

DOI: 10.4236/jemaa.2013.58053 PDF HTML XML 2,534 Downloads 3,655 Views

Abstract

The equation of motion of an object moving in a frictionless horizontal rotating frame is somewhat comparable to the one describing the motion of a point-like charged particle projected in a magnetic field. We show that the impact of angular velocity in the former is equivalent to the impact of the magnetic field in the latter. We consider scenarios conducive to comparable trajectories for these two distinct areas of physics. We extend the analysis considering two separate routes. For the rotating frame we investigate the impact of friction and for the magnetic field the effect of field in-homogeneities. We utilize Mathematica [1] throughout, most notably for solving coupled partial differential equations.

Keywords

Rotating Frames; Coriolis Force; Inhomogeneous Magnetic Field; Mathematica

Share and Cite:

H. Sarafian, "Compression of Characteristics of Trajectories in Rotating Frames vs. Nonuniform Magnetic Fields," Journal of Electromagnetic Analysis and Applications, Vol. 5 No. 8, 2013, pp. 336-341. doi: 10.4236/jemaa.2013.58053.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Mathematica, “A General Computer Software System and Language Intended for Mathematical and Other Applications,” V9.0, Wolfram Research, Champaign, 2013.
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