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THE POYNTING VECTOR OF AN OBLIQUE MAGNETIC ROTATOR // Tomsk State Pedagogical University Bulletin. 2011. Issue 8 (110). P. 44-48

The density of energy flux of electromagnetic field generated by precessing magnetic dipole at arbitrary distance from the dipole is analyzed. It is shown that in the far field approximation only radial component of the Poynting vector exists, and it represents the intensity of radiation. In the near zone the Poynting vector has not only radial but also sufficient azimuth component. The pattern of field energy flux distribution is constructed. The obtained results can be used at research of dynamics of atmosphere of magnetized celestial bodies.

Keywords: магнитный диполь, электромагнитное поле, поток энергии, электромагнитное излуче- ние, вектор Пойнтинга

THE FIELD OF PRECESSING MAGNETIC DIPOLE // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 51-54

The eld of a rotating inclined magnetic dipole is studied. One rst integral of motion and some particular solutions of equations of motion for a charged particle in this eld are found. The effective potential energy of a charge is studied. It is shown that the effective potential energy in the corotating reference system has six stationary points, which correspond to circular motion of a charge.

Keywords: magnetic dipole, electromagnetic eld, inclined rotator, charge, equations of motion

DYNAMICS OF RELATIVISTIC PARTICLES IN THE FIELD OF HIGHLY MAGNETIZED ROTATING SPHERE // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 172-176

The dynamics of a charged relativistic particle in electromagnetic field of a rotating magnetized celestial body with the magnetic axis inclined to the axis of rotation is studied. The covariant Lagrangian function in the rotating reference frame is found. Effective potential energy is defined on the base of the first integral of motion. The structure of the equipotential surfaces for a relativistic charged particle moving in strong magnetic field is studied and depicted. Behavior of the stationary points of the effective potential energy near the light cylinder is discussed.

Keywords: Størmer’s problem, oblique rotator, potential energy, trapping zones