TITLE:
Compression of Characteristics of Trajectories in Rotating Frames vs. Nonuniform Magnetic Fields
AUTHORS:
Haiduke Sarafian
KEYWORDS:
Rotating Frames; Coriolis Force; Inhomogeneous Magnetic Field; Mathematica
JOURNAL NAME:
Journal of Electromagnetic Analysis and Applications,
Vol.5 No.8,
August
6,
2013
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.