  We present a preliminary theoretical seismic study of the astronomically
famous star 51 Peg. This is done by first performing a detailed analysis within
the Hertzsprung-Russell diagram (HRD). Using the Yale stellar evolution code
(YREC), a grid of stellar evolutionary tracks has been constructed for the
masses 1.00 M_sun, 1.05 M_sun and 1.10 M_sun, in the metallicity range
Z=0.024-0.044, and for values of the Galactic helium enrichment ratio DY/DZ in
the range 0-2.5. Along these evolutionary tracks, we select 75 stellar model
candidates that fall within the 51 Peg observational error box in the HRD (all
turn out to have masses of 1.05 M_sun and 1.10 M_sun. The corresponding
allowable age range for these models, which depends sensitively on the
parameters of the model, is relatively large and is ~2.5 - 5.5 Gyr. For each of
the 75 models, a non-radial pulsation analysis is carried out, and the large
and small frequency spacings are calculated. The results show that just
measuring the large and small frequency spacings will greatly reduce the
present uncertainties in the derived physical parameters and in the age of 51
Peg. Finally we discuss briefly refinements in the physics of the models and in
the method of analysis which will have to be included in future models to make
the best of the precise frequency determinations expected from space
observations.
