  Doppler observations of exoplanet systems have been a very expensive
technique, mainly due to the high costs of high-resolution stable
spectrographs. Recent advances in instrumentation enable affordable Doppler
planet detections with surprisingly small optical telescopes.
  We investigate the possibility of measuring Doppler reflex motion of planet
hosting stars with small-aperture telescopes that have traditionally been
neglected for this kind of studies. After thoroughly testing the recently
developed and commercially available Shelyak eShel echelle spectrograph, we
demonstrated that it is routinely possible to achieve velocity precision at the
$100 \mathrm{m\,s}^{-1}$ level, reaching down to $\pm 50~\mathrm{m\,s}^{-1}$
for the best cases. We describe our off-the-shelf instrumentation, including a
new 0.5m RC telescope at the Gothard Astrophysical Observatory of Lor\'and
E\"otv\"os University equipped with an intermediate resolution fiber-fed
echelle spectrograph.
  We present some follow-up radial velocity measurements of planet hosting
stars and point out that updating the orbital solution of Doppler-planets is a
very important task that can be fulfilled with sub-meter sized optical
telescopes without requesting very expensive telescope times on 2--4~m (or
larger) class telescopes.

Solar and Stellar Astrophysics