The sources, considered in the paper, of the permanent magnetic field have an axis of symmetry and plane of mirror reflection. Such symmetry usually have magnetic systems of clearing and diagnostic pigs in pipeline transport. The magnetic field in free space environmental the source, can be described by scalar potential satisfying to the Laplace equation. The conclusions about distribution of the magnetic field are made of the common solving of this equation at the account of symmetry of the source. It is shown, that the reduction of sizes of the magnetic system in an axial direction promotes faster recession of intensity of the field with distance and increase of heterogeneity of its distribution on azimuthally angle. The growth of this heterogeneity is promoted also by influence of the ferromagnetic pipe environmental the magnetic system. The conclusion about existence of the optimum order of symmetry of the magnetic system is made which provides its best force characteristics at the given mass of the magnetic material spent on its manufacturing.
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