The Paraconical Pendulum was used by its inventor M. Allais to search for gravitational anomalies during the solar eclipses of 1954 and 1959. Because he claimed to have found an unexpected change in rotation sense and velocity of the pendulum arround its suspense, his experiment was repeated by researchers since the 1950s. However, results ranged from positive via inconclusive to negative. The results of the Institut für Gravitationsforschung in association with an institute in Prague during the solar eclipse of March, 29th, 2007. were also inconclusive. Due to that, this article tries to describe a Paraconical Pendulum in terms of simple mathematics, use the result to find out what may influence it and then give a short survey on gravitational anomalies this set-up may detect based on the findings before.