We use three and half years of Kepler Long Cadence data to search for the 97
predicted planets of Bovaird & Lineweaver (2013) in 56 of the multi-planet
systems, based on a general Titius-Bode relation. Our search yields null
results in the majority of systems. We detect five planetary candidates around
their predicted periods. We also find an additional transit signal beyond those
predicted in these systems. We discuss the possibility that the remaining
predicted planets are not detected in the Kepler data due to their
non-coplanarity or small sizes. We find that the detection rate is beyond the
lower boundary of the expected number of detections, which indicates that the
prediction power of the TB relation in general extra solar planetary systems is
questionable. Our analysis of the distribution of the adjacent period ratios of
the systems suggests that the general Titius-Bode relation may over-predict the
presence of planet pairs near the 3:2 resonance.Comment: Accepted by MNRA