We examine a spiralling slender inviscid liquid jet which emerges from a rapidly
rotating orifice. The trajectory of this jet is determined using asymptotic methods,
and the stability using a multiple scales approach. It is found that the trajectory
of the jet becomes more tightly coiled as the Weber number is decreased. Unstable
travelling wave modes are found to grow along the jet. The breakup length of the jet
is calculated, showing good agreement with experiments.