[en] The power series expansion of the general solution of the Chew-Low equations suggested in other papers is studied, in the neighbourhood of the point w=0. It is shown that in contrast to the quadratic approximation, the cubic approximation does not possess the required Born pole at this point. From here the conclusion about the invalidity of the expansion near the Born pole is drawn. Within the class of physically interesting solutions the local conditions β(0)=0 and C(0) not equal to 0 for arbitrary periodic functions determining the general solution are obatined. By means of numerical analysis the value C(0) approximately -265 for the solutions possessing the Born pole is found