where [omega] is the angular rate vector, [J] is the tensor of inertia, m is the

magnetic dipole moment, and [B.sub.b] is the geomagnetic field vector in [F.sub.b].

Therefore, the

magnetic dipole moment dependence on the magnetic field should be also a periodic function.

483--484 that, in accordance with Ampere, any closed circuit of current can be divided into elementary current loops on a surface bounding the closed circuit, and that each of these elementary current loops produce an external magnetic field equal to that of a

magnetic dipole moment I[DELTA]S[??].

where [[omega].sub.0] is the angular velocity of the orbit with respect to the inertial frame, [r.sub.0] is the distance from the center of the satellite to the center of the Earth, i is the orbit inclination, [epsilon] is the magnetic dipole tilt, [[omega].sub.e] is the spin rate of the Earth, and [M.sub.e] is the

magnetic dipole moment of the Earth.

Equating equations (16) and (21) at terminal speed of the magnet, by conservation of energy, gives the

magnetic dipole moment in terms of the conductivity [sigma] and other quantities which can be measured directly.

However, various books and papers disagree with respect to transformation properties of magnetization and

magnetic dipole moment. In particular, Panofsky and Phillips [1] write the transformation for magnetization in the form

On the basis of the obtained results, we consider now radiation of point

magnetic dipole moment. For a point radiator with the oscillating

magnetic dipole moment, similarly to the electric dipole case (38), we have:

This term is more important for lighter nuclei, such as Na and Si, but only [sup.23]Na has a nonnegligible

magnetic dipole moment, [[??].sub.Na] = 2.218.

Define the electric and

magnetic dipole moment matrix elements: [mathematical expression not reproducible], where dV denotes the volume element.

Our goals are to find a suitable unambiguous definition for the

magnetic dipole moment and to determine correctly the resulting magnetic field.

As a demonstrative example one may consider a neutron coupling to a magnetic field H(R(t)) = -[mu] * B(R(t)) due to its

magnetic dipole moment [mu] = [[mu].sub.n][sigma], where [sigma] = {[[sigma].sub.x], [[sigma].sub.y], [[sigma].sub.z]} are the Pauli matrices and [[mu].sub.n] denotes the magnetic moment of a neutron.

However, also an electric current distribution may exhibit a

magnetic dipole moment when defined through [12, Sect.