Asymmetric magnetic field inside a cylindrical flux rope

In order to consider an asymmetric field distribution inside a cylindrical tube with a circular cross section, with the field magnitude maximum reached at a point different from the geometrical centre of the tube, we propose a new solution obtained in bi-cylindrical coordinates. If the parameter of the system is very large, the solution approaches the well known symmetric Lundquist solution. The new solution models a field magnitude shift due to relative motion of the cylinder and the ambient solar wind. If the cylinder is moving much faster than the ambient medium, its field maximum is shifted forward, otherwise it is shifted in the opposite direction.