volume | PIER Journals

Abstract

Based on the theory about charge moment tensor and the magnetic moment of a rotational charged body, and by means of Eulor's equation for a rotational rigid body in classic mechanics, the Lagrangian and the dynamic equation of a charged dielectric rigid body under a uniform magnetic field has been derived; Also two symmetric simple cases have been solved or analyzed under condition of slow rotation and no gravitation, the corresponding invariants have also been found.

1. Zhou, G.-Q., "Charge moment tensor and the magnetic moment of rotational charged bodies," Progress In Electromagnetics Research, Vol. 68, 156-160, New York, 2007. Google Scholar

2. Zhou, G.-Q., "The magnetic-moment quadric and conditions of vanishing magnetic moment for a rotational charged body," Progress In Electromagnetics Research, Vol. 70, 211-223, New York, 2007.
doi:10.2528/PIER07011201 Google Scholar

3. Zhou, G.-Q., "Several rules about the magnetic moment of rotational charged bodies," Progress In Electromagnetics Research Symposium (PIERS 2007 Beijing Proceedings), 89-93, The Electromagnetics Academy, Cambridge, 2007. Google Scholar

4. Xu, D. F. and Z.-S. Yu, "The calculation of magnetic moment for a electrified body rotating about a fixed axis," College Physics, Vol. 16, No. 4, 3-4, 1997. Google Scholar

5. Liu, J.-P., Electrodynamics, 153-165, Higher Education Press, 2004.

6. Chen, J.-F., Classical Mechanics, 161-169 , Press of China University of Sci. & Tech., 1990.

7. Zhou, Y.-B., Theoretical Mechanics , 202-212, People's Education Press, 1974.

8. Zhang, Q.-R., Classical Mechanics, 94-112, Science Press, 2002.

9. Gradsbteyn, I. S. and L. M. Ryzbik, Table of Integrals, Series, and Productions , 1059-1064, Elsevier (Singapore) Pte. Ltd., 2004.

10. Zhou, G.-Q., "Some properties and rules about a regular precession vector," Physics and Engineering, Vol. 11, No. 1, 22-25, 2001. Google Scholar

11. Tchernyi, V. V., et al. "Possible electromagnetic nature of the Saturn's rings: Superconductivity and magnetic levitation," Progress In Electromagnetics Research, Vol. 52, 277-299, New York, 2005. Google Scholar

12. Capozzoli. A., et al., "Global optimization and antennas synthesis and diagnosis, Part one: Concepts, tools, strategies and performances," Progress In Electromagnetics Research, Vol. 56, 195-232, 2006.
doi:10.2528/PIER04123001 Google Scholar

13. Bellett, P. T. and et al, "An investigation of magnetic antennas for ground penetrating radar," Progress In Electromagnetics Research, Vol. 43, 257-271, 2003.
doi:10.2528/PIER03051301 Google Scholar

14. Dmtriev, V., "Tables of the second rank constitutive tensors for linear homogeneous media described by point magnetic groups of symmetry," Progress In Electromagnetics Research, Vol. 28, 43-95, 2000.
doi:10.2528/PIER99062502 Google Scholar

15. Yin, W.-Y., et al. "The Mueller matrix of a two-layer eccentrically bianisotropic cylinder linear array with double helical conductances of the surfaces: Classification of the magnetic symmetry groups," Progress In Electromagnetics Research, Vol. 30, 105-130, 2001.
doi:10.2528/PIER00031303 Google Scholar

Dr. Guo-Quan Zhou

Dr. Xiao Xiao