  The present work concerns the Asteroseismology of the Kepler detached
eclipsing binary KIC 8504570. Particularly, it focuses on the pulsational
behaviour of the oscillating component of this system and the estimation of its
physical parameters in order to enrich the so far poor sample of this kind of
systems. Using spectroscopic observations, the spectral type of the primary
component was determined and used to create accurate light curves models and
estimate its absolute parameters. The light curve residuals were subsequently
analysed using Fourier transformation techniques to obtain the pulsation
models. Theoretical models of $\delta$ Scuti stars were employed to identify
the oscillation modes of the six detected independent frequencies of the
pulsator. In addition, more than 385 combination frequencies were also
detected. The absolute and the pulsational properties of the $\delta$ Scuti
star of this system are discussed and compared with all the currently known
similar cases. Moreover, using a recent (empirical) luminosity-pulsation period
relationship for $\delta$ Scuti stars, the distance of the system was
estimated.
