When AR = 0 dB, the radiation components of the electric dipole and magnetic dipole of NMHA are the same.

Attitude dynamics is modeled assuming the spacecraft as a rigid body on which only the magnetic dipole torque acts.

The contribution of the infinitesimal magnetic dipole will be approached in the dipole system of coordinates.

Thus when fulfilling the above assumptions, we can write for the vectors of observed field [B.sub.Obs] = [[B.sub.x], [B.sub.y], [B.sub.z]] and vector of car disturbance field [B.sub.car] = [[B.sub.cx], [B.sub.cy], [B.sub.cz]] utilizing the well-known equation for magnetic field of a magnetic dipole with magnetic moment m [[m.sub.x], [m.sub.y], [m.sub.z]] position vector r [[r.sub.x], [r.sub.y], [r.sub.z]] and an (orthogonal) rotation matrix R:

It has a complex three-dimensional structure primarily as a result of the tilt of the solar magnetic dipole axis relative to the Sun's rotational axis (see Fig.

Secondly, we use the condition of equivalence of the magnetic fields of the circuit with the conduction current at large distances from it and a magnetic dipole in a homogeneous medium with absolute magnetic permeability [mu] [5].

Magnetic Dipole.--For our second field we consider a magnetic dipole which is centered above the circular membrane a distance [d.sub.3] above the plane of the undeflected membrane, see Figure 4.

The 12 lectures identify new directions in the field of ultracold physics, such as quantum gases with long range interactions, either due to strong magnetic dipole forces, due to Rydberg excitations, or, for polar molecules due to electric dipole interactions; quantum gases in lower dimensions; quantum gases with disorder; atoms in optical lattices, now with single-site optical resolution; systems with non-trivial topological properties such as spin-orbit coupling or in artificial gauge fields; quantum impurity problems (Bose and Fermi polarions); and quantum magnetism.

Many of its properties are still poorly constrained such as mass, spin, color and electric charges, the electric and magnetic dipole moments, and the chromomagnetic and chromoelectric dipole moments.

In the following discussion, taking magnetic dipole ([J.sub.p] [not equal to] 0.0 and [M.sub.p] = 0.0) has been taken as an example to deduce discretized Maxwell equation.

For these situations, the 3-dB beams of the magnetic-current antenna can cover from the broadside direction to end- fire direction in the yz plane and can only cover the broadside direction in the xz plane, which agrees well with the radiation performance of the single magnetic dipole.