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We report on the methods and results of the first dedicated search forgravitational waves emitted during the inspiral of compact binaries withspinning component bodies. We analyze 788 hours of data collected during thethird science run (S3) of the LIGO detectors. We searched for binary systemsusing a detection template family designed specially to capture the effects ofthe spin-induced precession of the orbital plane. We present details of thetechniques developed to enable this search for spin-modulated gravitationalwaves, highlighting the differences between this and other recent searches forbinaries with non-spinning components. The template bank we employed was foundto yield high matches with our spin-modulated target waveform for binaries withmasses in the asymmetric range 1.0 Msol < m1 < 3.0 Msol and 12.0 Msol < m2 <20.0 Msol which is where we would expect the spin of the binary's components tohave significant effect. We find that our search of S3 LIGO data had goodsensitivity to binaries in the Milky Way and to a small fraction of binaries inM31 and M33 with masses in the range 1.0 Msol < m1, m2 < 20.0 Msol. Nogravitational wave signals were identified during this search. Assuming abinary population with spinning components and Gaussian distribution of massesrepresenting a prototypical neutron star - black hole system with m1 ~ 1.35Msol and m2 ~ 5 Msol, we calculate the 90%-confidence upper limit on the rateof coalescence of these systems to be 15.9 yr^-1 L_10^-1, where L_10 is 10^10times the blue light luminosity of the Sun.

Search of S3 LIGO data for gravitational wave signals from spinning black hole and neutron star binary inspirals