We present results of high-resolution spectroscopic observations of th
e solar-temperature star 51 Peg taken between 1989 and 1996. Variation
s in the shape of the Fe I lambda 6252.53 Fe I spectral line are inves
tigated in detail to establish their reality, nature, and likely cause
. Because our spectroscopic data were gathered for purposes other than
the present one, they are thinly distributed over the 7 years. This m
akes it difficult for us to prove beyond doubt that the variations in
the shapes of the profiles are one and the same as the 4.23 day period
of radial velocity variations found by Mayor & Queloz and Marcy et al
. Nevertheless, we show that the probability of our data matching the
periodicity of the radial velocity data the way it does by pure chance
is only one in several hundred. Since the probability strongly favors
the reality of the 4.23 day profile shape variations, we proceed to m
odel them with nonradial oscillations having low order and low degree.
The shifts and distortions of spectral lines induced by oscillations
having l = -m = 4 fully account for both the radial velocity observati
ons and the changes in line profiles delineated by our high-resolution
spectroscopy. The planet hypothesis, proposed in the above mentioned
papers, cannot account for implicit variations of the spectral line pr
ofiles. Assuming these variations are real, the planet hypothesis is n
o longer viable, and the need to explain the unseen and puzzling plane
t in an unusual orbit no longer exists. Instead, the door may have bee
n opened to the important new area of research: low-order nonradial pu
lsation in solar-temperature stars. In the Appendix we refute various
suggestions by which the originally proposed planet might induce the l
ine-profile variations.