The analysis is concerned with the steady motion of dc arcs which are struck between a central cathode and the walls of a coaxial, cylindrical enclosure. There is an axial flow of gas and a steady, cylindrically symmetrical, applied magnetic field with both axial and radial components. It is shown that, under conditions such that the arc motion is controlled by the column rather than the electrode interactions, the motion can be described by two simultaneous differential equations. The boundary conditions are also considered. Solutions are obtained for several special cases in which the gas flow velocity and/or the radial component of the field are small, but not negligible, quantities. Such solutions are directly relevant to arc heater applications, for example. From the analysis it is clear that very great control of the arc position and rotation within the enclosure can be obtained with even the simplest field geometry, namely a constant axial magnetic field.