Frenay – Serre equations for the trajectory of a charged particle in a magnetic dipole
Heading:
^{1}Nosov, SF, ^{1}Malovichko, PP ^{1}Main Astronomical Observatory of the National Academy of Sciences of Ukraine, Kyiv, Ukraine 
Kosm. nauka tehnol. 2002, 8 ;(Supplement2):046054 
Publication Language: Russian 
Abstract: The methods of differential geometry consider the trajectories of charged particles in the field of a magnetic dipole. The parameters of the curvature and torsion of the trajectories of the particles and the trajectories of their leading centers are determined. One of the results of the work that can have important physical applications is the discovered effect of exceeding the mean square frequency of rotation of the Fresnay trihedron relative to the Larmor frequency. This effect is especially pronounced for particles propagating along curved magnetic field lines at a small pitch angle.

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