we study the free oscillations of a non-rotating earth-like planet in the presence of a force free magnetic field. The model consists of a solid inner core, a liquid outer core and a solid mantle which is spherically symmetric. The lagrangian displacements are decomposed into scaloidal, poloidal and toroidal components using a gauged version of Helmholtz theorem. These components are identified, with P- , g and t- modes, respectively. The normal modes of the model are determined using a Rayleigh-Ritz variational technique. The consequence of the presence of the solid parts and the magnetic field is the emergence of pure t- oscillations. The magnetic field, in addition to exciting t- modes, couples the everpresent p- and g -modes together. As an application of the model, the real seismic data of the earth is used to calculate eigenvalues and eigenvectors for different modes.
Y. Abedini, and S. Nasiri, . (2019). Free oscillations of the earth-like planets in the presence of magnetic field. Iranian Journal of Physics Research, 5(4), 255-255.
MLA
Y. Abedini, , and S. Nasiri, . "Free oscillations of the earth-like planets in the presence of magnetic field", Iranian Journal of Physics Research, 5, 4, 2019, 255-255.
HARVARD
Y. Abedini , S. Nasiri . (2019). 'Free oscillations of the earth-like planets in the presence of magnetic field', Iranian Journal of Physics Research, 5(4), pp. 255-255.
CHICAGO
Y. Abedini and S. Nasiri, "Free oscillations of the earth-like planets in the presence of magnetic field," Iranian Journal of Physics Research, 5 4 (2019): 255-255,
VANCOUVER
Y. Abedini , S. Nasiri . Free oscillations of the earth-like planets in the presence of magnetic field. Iranian Journal of Physics Research. 2019;5(4):255-255 (In Persian).
