  According to the strange quark matter hypothesis, strange planets may exist,
which are planetary mass objects composed of almost equal numbers of up, down
and strange quarks. A strange planet can revolve around its host strange star
in a very close-in orbit. When it finally merges with the host, strong
gravitational wave emissions will be generated. Here the gravitational
waveforms are derived for the merging process, taking into account the effects
of the strange star's magnetic field on the dynamics. Effects of the
inclination angle are also considered. Templates of the gravitational waveforms
are derived. It is found that the magnetic interactions significantly speed up
the merging process. Coalescence events of such strange planetary systems
occurring in our Galaxy as well as in local galaxies can be effectively
detected by current and future gravitational experiments, which may hopefully
provide a new method to test the strange quark matter hypothesis and probe the
magnetic field of compact stars.
