Re: no ballast
The classic magnetic ballast is an inductor, and its main function is to limit the current through the fluorescent tube without wasting a lot of energy. The starter temporarily applies voltage to the filaments to heat them to the point that electrons boil off them. After the lamp starts, the current through the ionized mercury vapor keeps the filaments hot. And, in some circuits, an inductive kick from the ballast helps to start conduction.
Charley, how about a diagram of the classic fluorescent circuit?