The detection of subtle perturbations from a distant companion like Nemesis in gravitational wave data from neutron star mergers is a complex matter. Advanced LIGO's current sensitivity allows it to detect gravitational waves from binary neutron star mergers at distances up to approximately 200 Mpc, with a strain sensitivity around 10^-21 at frequencies between 100 Hz and 1000 Hz. However, the influence of a distant companion such as Nemesis, proposed to have a 26-million-year orbital period, would produce very low-frequency perturbations, typically in the range of 10^-7 Hz to 10^-8 Hz. This frequency range is far below the operational band of Advanced LIGO, making direct detection of such perturbations currently infeasible.
Future space-based gravitational wave observatories like LISA, with a sensitivity to gravitational waves in the millihertz range (0.1 mHz to 1 Hz), could potentially detect the low-frequency gravitational waves that might be induced by a companion like Nemesis. However, even with LISA, the signal from Nemesis would be extremely weak due to its distance and the long orbital period. The signal-to-noise ratio for such a detection would be very low, with current estimates suggesting a strain sensitivity of about 10^-20 at 1 mHz, which might still not be sufficient to detect the subtle perturbations from Nemesis.
Regarding the proposed 26-million-year timescale, it's important to consider that the orbital period of Nemesis would result in very gradual changes to the gravitational field over time. These changes would be difficult to distinguish from other long-term gravitational effects in the solar system, such as those caused by the galactic tide or other distant objects. The error margins for detecting such long-term effects are high, with uncertainties in the measurement of gravitational wave backgrounds currently around 10^-18 Hz^-1/2 in the relevant frequency range.
Historical data from pulsar timing arrays, which are sensitive to low-frequency gravitational waves, have not yet shown evidence of perturbations that could be attributed to Nemesis. The confidence level in these measurements is around 95%, with ongoing efforts to improve sensitivity and reduce error margins.
In summary, while the current sensitivity of Advanced LIGO is not sufficient to detect perturbations from a distant companion like Nemesis, future observatories like LISA may offer a better chance, albeit with significant challenges due to the weak signal and long orbital period. The lack of detection in pulsar timing arrays also suggests that if Nemesis exists, its influence might be too subtle to detect with current technology.