Open AccessOn Some implications of the Poisson relation
Author(s) -
Bocchio F
Publication year - 1998
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1046/j.1365-246x.1998.1331484.x
Subject(s) - poisson distribution , magnetic field , physics , magnetization , constant (computer programming) , geophysics , field (mathematics) , classical mechanics , gravitation , tensor (intrinsic definition) , geology , geometry , mathematics , quantum mechanics , pure mathematics , computer science , statistics , programming language
The potentialities of the so‐called ‘Poisson relation’, which holds for uniformly magnetized bodies of constant density, for showing the connections between the gravitational and the magnetic fields of such bodies are considered. In particular, it is seen that the same characteristic ratios occur among the components of the magnetic field intensity and the components of the gradient tensors of the two fields, both locally and non‐locally. It is also shown that along the magnetization axis of the body the gradient tensor of the magnetic field displays a ‘tidal’ structure.