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1
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85038309715
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P. Bender, et al., LISA Pre-Phase A Report (second ed.) (1998) (unpublished).
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P. Bender, et al., LISA Pre-Phase A Report (second ed.) (1998) (unpublished).
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11
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85038266857
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This form of (Formula presented) assumes that the lasers in the end spacecraft are phase-locked to the signals they receive from the central spacecraft. There is a form for (Formula presented) that does not make this assumption and that can thereby be converted to interferometers centered on the other spacecraft in the constellation. However, the sensitivity we derive using this form will be valid for the more general form as well, and will therefore apply to signals formed with any spacecraft as vertex.
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This form of (Formula presented) assumes that the lasers in the end spacecraft are phase-locked to the signals they receive from the central spacecraft. There is a form for (Formula presented) that does not make this assumption and that can thereby be converted to interferometers centered on the other spacecraft in the constellation. However, the sensitivity we derive using this form will be valid for the more general form as well, and will therefore apply to signals formed with any spacecraft as vertex.
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12
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85038315373
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paper I, the signal part of (Formula presented) was called (Formula presented) in the limit where (Formula presented)
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In paper I, the signal part of (Formula presented) was called (Formula presented) in the limit where (Formula presented)
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13
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85038322792
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The input gravitational wave state given in Eq. (1) is linearly polarized. As in paper I, the averaging procedure over all linearly polarized states produces the same response function as averaging over a more general elliptically polarized state with an appropriately weighted distribution.
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The input gravitational wave state given in Eq. (1) is linearly polarized. As in paper I, the averaging procedure over all linearly polarized states produces the same response function as averaging over a more general elliptically polarized state with an appropriately weighted distribution.
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14
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85038333536
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This choice of putting the factor of 2 into the transfer function differs from our convention in paper I, where such factors were included in the noise spectra. We have found it clearer to define the transfer function as the one that gives the noise power spectrum in X as (Formula presented) where (Formula presented) is the noise spectral density of a single type in a single spacecraft.
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This choice of putting the factor of 2 into the transfer function differs from our convention in paper I, where such factors were included in the noise spectra. We have found it clearer to define the transfer function as the one that gives the noise power spectrum in X as (Formula presented) where (Formula presented) is the noise spectral density of a single type in a single spacecraft.
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