I have discovered spectroscopic variations correlated with the photome
tric near infrared (NIR) light curve in eta Carinae. The fading of the
high-excitation lines is coincident with the peaks in the NIR light c
urve, strongly resembling an S Doradus type of variability. The cycle,
however, is highly stable, and the 5.52 yr period fits well all the s
hell episodes reported in the last 50 years. This period also recovers
the three historical bursts of the last century, in phase with the pr
esent low-amplitude oscillations, which suggests a connection between
the S Doradus cycle and the giant bursts. The present data reveal that
eta Car is continuously varying in the He I lambda 10830 line by thou
sands of solar luminosities. The last spectra in this line show that t
he low-excitation phase is already in progress. A test for the strict
periodicity will be the confirmation of the central phase epoch of the
next shell event, predicted to occur in 1997 December. A very sensiti
ve mapping technique is also proposed for this occasion, in order to p
rove Homunculus geometry.