DYNAMICS OF RELATIVISTIC PARTICLES IN THE FIELD OF HIGHLY MAGNETIZED ROTATING SPHERE
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
References:
[1] Babcock H. W., Cowling T. G. 1953 Mon. Not. R. Astron. Soc. 113 356.
[2] Deutsch A. J. 1955 Ann. d’Astrophys. 18 1.
[3] Belinsky V., Ruffini R. 1992 Astrophys. J. 401 L27.
[4] Belinsky V., De Paolis F., Lee H. W. and Ruffini R. 1994 Astron. Astrophys. 283 1018.
[5] Georgiou A. 2008 Il Nuovo Cimento B 123 201.
[6] Rezzolla L., Ahmedov B. J., Miller J. C. 2001 Mon. Not. R. Astron. Soc. 322 723.
[7] Kaburaki O. 1980 Astrophys. Space Sci. 67 3.
[8] Katsiaris G. A., Psillakis Z. M. 1986 Astrophys. Space Sci. 126 69.
[9] Thielheim K. O., Wolfsteller H. 1989 Astrophys. J. Suppl. Ser. 71 583.
[10] Istomin Ya. N., Sobyanin D. N. 2009 Journal of Experimental and Theoretical Physics 109 393.
[11] Ferrari A., Trussoni E. 1975 Astrophys. Space Sci. 33 111.
[12] Finkbeiner B., Ertl T., Herold H., Ruder H. 1987 Mitteilungen der Astronomischen Gesellschaft 70 375.
[13] Epp V., Masterova M. A. 2013 Astrophys. Space Sci. 345, 315.
[14] Epp V., Masterova M. A. 2014 Astrophys. Space Sci. 353, 473.
[15] Landau L. D., Lifshitz E. M. 1975 The Classical Theory of Fields, 4th edn., Pergamon, New York.
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Issue: 12, 2014
Series of issue: Issue 12
Pages: 172 — 176
Downloads: 791