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We describe how the TwoSpect data analysis method for continuousgravitational waves (GWs) has been tuned for directed sources such as the LowMass X-ray Binary (LMXB), Scorpius X-1 (Sco X-1). A comparison of five searchalgorithms generated simulations of the orbital and GW parameters of Sco X-1.Where that comparison focused on relative performance, here the simulationshelp quantify the sensitivity enhancement and parameter estimation abilities ofthis directed method, derived from an all-sky search for unknown sources, usingdoubly Fourier- transformed data. Sensitivity is shown to be enhanced when thesource sky location and period are known, because we can run a fully-templatedsearch, bypassing the all-sky hierarchical stage using an incoherent harmonicsum. The GW strain and frequency as well as the projected semi-major axis ofthe binary system are recovered and uncertainty estimated, for simulatedsignals that are detected. Upper limits on GW strain are set for undetectedsignals. Applications to future GW observatory data are discussed. Robustagainst spin-wandering and computationally tractable despite unknown frequency,this directed search is an important new tool for finding gravitational signalsfrom LMXBs.

Tuning into Scorpius X-1: adapting a continuous gravitational-wave search for a known binary system