The Doppler boosted LISA response to gravitational waves
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915491800416256 |
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| author | van der Steen, Tom Inchauspé, Henri Hertog, Thomas Hees, Aurélien |
| author_facet | van der Steen, Tom Inchauspé, Henri Hertog, Thomas Hees, Aurélien |
| contents | The future space-based gravitational wave observatory LISA is expected to detect massive black hole binaries (MBHBs) with high signal-to-noise ratios (SNRs), ranging up to thousands. Such high-precision observations require accurate modeling of the detector response. However, current derivations of the response function neglect the motion of the spacecraft during light travel time, omitting velocity-dependent terms of order $β= v/c \sim 10^{-4}$. In this work, we derive the velocity-dependent corrections to the gravitational wave response. We analyze the contribution of the velocity-terms for MBHBs in the mass range $[10^6,10^8]\:\mathrm{M}_{\odot}$ using a modified version of the state-of-the-art response simulator lisagwresponse. We find that corrections introduce residual SNRs up to $\sim 2$ for the loudest events and fractional differences up to $0.04\%$, compared to lisagwresponse. While small, these effects are comparable to current waveform modeling uncertainties and imprint distinctive sky-localization signatures, making them potentially relevant for parameter estimation of high-mass MBHBs and simulation of mock datasets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10038 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Doppler boosted LISA response to gravitational waves van der Steen, Tom Inchauspé, Henri Hertog, Thomas Hees, Aurélien General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics The future space-based gravitational wave observatory LISA is expected to detect massive black hole binaries (MBHBs) with high signal-to-noise ratios (SNRs), ranging up to thousands. Such high-precision observations require accurate modeling of the detector response. However, current derivations of the response function neglect the motion of the spacecraft during light travel time, omitting velocity-dependent terms of order $β= v/c \sim 10^{-4}$. In this work, we derive the velocity-dependent corrections to the gravitational wave response. We analyze the contribution of the velocity-terms for MBHBs in the mass range $[10^6,10^8]\:\mathrm{M}_{\odot}$ using a modified version of the state-of-the-art response simulator lisagwresponse. We find that corrections introduce residual SNRs up to $\sim 2$ for the loudest events and fractional differences up to $0.04\%$, compared to lisagwresponse. While small, these effects are comparable to current waveform modeling uncertainties and imprint distinctive sky-localization signatures, making them potentially relevant for parameter estimation of high-mass MBHBs and simulation of mock datasets. |
| title | The Doppler boosted LISA response to gravitational waves |
| topic | General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics |
| url | https://arxiv.org/abs/2509.10038 |