Tomographic method for resolving the Galactic binaries: including multiple interferometers and antenna patterns

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Astrometric And Interferometric Binaries, Astrometric And Interferometric Instruments, Gravitational Radiation Detectors, Mass Spectrometers, And Other Instrumentation And Techniques, Stellar Content And Populations, Morphology And Overall Structure

Scientific paper

A Tomographic approach was recently proposed by Mohanty and Nayak for resolving Galactic binaries, both spatially and in source frequency, in the LISA data stream. Using Doppler modulation alone, the method can unambiguously resolve binaries with a matched filtering signal to noise ratio higher than about 7 and spaced apart by 7 1 year frequency bins. In the present work, we extend the method to include the multiple Michelson interferometers in LISA and their rotating antenna patterns. We find a substantial improvement in the resolving power of the tomographic method across all frequencies. Since the tomographic method is linear, one can combine the TDI data combinations before or after the reconstruction. We show that the GW signal completely cancels out for the Symmetric Sagnac data combination. This is useful in estimating the instrumental noise contaminating tomographically reconstructed sky maps.

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