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A spinning test particle around a Schwarzschild black hole shows a chaoticbehavior, if its spin is larger than a critical value. We discuss whether ornot some peculiar signature of chaos appears in the gravitational waves emittedfrom such a system. Calculating the emitted gravitational waves by use of thequadrupole formula, we find that the energy emission rate of gravitationalwaves for a chaotic orbit is about 10 times larger than that for a circularorbit, but the same enhancement is also obtained by a regular "elliptic" orbit.A chaotic motion is not always enhance the energy emission rate maximally. Asfor the energy spectra of the gravitational waves, we find some characteristicfeature for a chaotic orbit. It may tell us how to find out a chaotic behaviorof the system. Such a peculiar behavior, if it will be found, may also provideus some additional informations to determine parameters of a system such as aspin.Comment: 14 pages, LaTeX, to appear in Phys. Rev.

Signature of chaos in gravitational waves from a spinning particle