In 1995, periodic variations in the Doppler shift of the light from the star 51 Pegasi hinted at the presence of a planet -- the first ever detected around another Sun-like star. Then last year, spectral line variations appeared to be present, which could only be caused by an undulating, pulsating stellar surface, not an orbiting planet. But now the spectral evidence of pulsations has disappeared, leaving planets as the only plausible interpretation.