Influence of a continuous plane gravitational wave on Gaia-like astrometry

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Volume 695 (March 2025)

A&A, 695 (2025) A172

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Table 1

Errors induced by the different strain parameters in the low- frequency regime.

	σ_α/*∆_max	σ_δ/ ∆_max	σ_ϖ/ ∆_max	$σ_{μ_{α }} / Δ_{\max}$ ${\sigma _{{\mu _{\alpha }}}}/{{\rm{\Delta }}_{\max }}$	$σ_{μ_{δ}} / Δ_{\max}$ ${\sigma _{{\mu _\delta }}}/{{\rm{\Delta }}_{\max }}$
$h_{+}^{c}$ $h_ + ^{\rm{c}}$	0.519	0.595	0.006	0.005	0.004
$h_{+}^{s}$ $h_ + ^{\rm{s}}$	0.000	0.001	0.001	0.097	0.111
$h_{\times}^{c}$ $h_ \times ^{\rm{c}}$	0.595	0.519	0.006	0.005	0.004
$h_{\times}^{s}$ $h_ \times ^{\rm{s}}$	0.000	0.001	0.001	0.111	0.097

Notes. The table gives standard deviations of the errors in source parameters, normalised by ∆_max, for a GW signal of frequency 0.925 nHz (P_gw ≃ 34.22 yr). Each line represents a separate astrometric solution for simulated data with only one non-zero strain parameter, as indicated in the first column. The data cover an interval of T = 5 yr, with the reference epoch in the middle of the interval. The values for the proper motion components are given per year.

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