LISA and the Galactic Population of Compact Binaries

Benacquista, M.

doi:10.1007/978-981-15-4702-7_19-1

Cited by 1 publication

(3 citation statements)

References 39 publications

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“…Further we eliminate the oscillation originating from ω 0 for each GW signal by multiplication with φ(t), cf. (7). This results in the slowly oscillating signals that are depicted in fig.…”

Section: (14)mentioning

confidence: 96%

“…According to the assumption that g α (t) is varying slowly in comparison to φ(t), cf. (7), and that this also holds true when comparing the variation in arm-length and position vectors to φ(t), we may approximate T L1,2 y α 1,2 (t) ≈ e β1,2(t) y α 1,2 (t). Using (9) along with similar manipulations for y α 2,1 (t), along with Taylor expansions of e β1,2(t) and e −2πiω0p2(t)•k and some calculations one obtains…”

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confidence: 91%

“…These waves interact only weakly with matter and hence, travel through the Universe without distortion of the information they carry about their origins. For instance, insights into the Milky Way and galaxy formation, in general, can be obtained by analyzing measurements of GWs that are emitted by massive black holes or ultra-compact binaries [3][4][5][6][7].…”

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confidence: 99%

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Tri-linear representations for the Laser Interferometer Space Antenna

Андерссон

Riegger

Ferraioli

et al. 2022

EPL

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The Laser Interferometer Space Antenna (LISA) is a space-borne observatory of gravitational waves to be launched by ESA and NASA in the 2030s. Interferometric measurements are made between three spacecraft orbiting the Sun. The measurements are dependent on the geometric information due to the relative locations between the spacecraft as well as the intrinsic parameters of the astrophysical objects that generate the gravitational waves. We show that the measurements of mildly chirping gravitational waves can be approximated by means of a tri-linear representation, where the geometric information about the location of the observed object as well as that of the spacecraft locations, are separated by different factors. We discuss that for low frequencies the relative approximation error is proportional to the square of the signal’s carrier frequency and illustrate this accuracy in numerical experiments. For the sake of illustration, we outline a simple algorithm for extracting parameters from the observed gravitational waves.

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Section: (14)mentioning

confidence: 96%

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confidence: 91%