Table 3 Required measurement precisions in the tidal acceleration along with the associated 6DoF instrument requirements corresponding to the ASD of these precision
From: PIONEERS: a 6DoF motion sensor to measure rotation and tides in the Solar System
Body | Tidal frequency (Hz) | \(p_{a_T}\) (\(\textrm{m}\textrm{s}^{-2}\)) | \(p_{a_{T_{ASD}}}\) (\(\textrm{m}/\textrm{s}^{2}/\sqrt{\textrm{Hz}}\)) | Mission duration (days) |
|---|---|---|---|---|
Dimorphos | \(2.330\times 10^{-5}\) | \(2.82\times 10^{-13}\) | \(1.31\times 10^{-10}\) | 5 |
Phobos | \(3.628\times 10^{-5}\) | \(3.96\times 10^{-10}\) | \(1.47\times 10^{-7}\) | 3 |
Europa | \(3.259\times 10^{-6}\) | \(1.41\times 10^{-7}\) | \(1.75\times 10^{-4}\) | 35 |
Io | \(6.542\times 10^{-6}\) | \(1.45\times 10^{-5}\) | \(1.27\times 10^{-2}\) | 18 |
Titan | \(7.258\times 10^{-7}\) | \(1.87\times 10^{-7}\) | \(4.90\times 10^{-4}\) | 160 |
Enceladus | \(8.435\times 10^{-6}\) | \(1.62\times 10^{-7}\) | \(1.25\times 10^{-4}\) | 14 |
Triton | \(1.969\times 10^{-6}\) | \(1.20\times 10^{-9}\) | \(1.91\times 10^{-6}\) | 60 |
Moon | \(4.236\times 10^{-7}\) | \(3.21\times 10^{-10}\) | \(1.10\times 10^{-6}\) | 275 |
Mars | \(1.685\times 10^{-8}\) | \(3.31\times 10^{-11}\) | \(3.59\times 10^{-7}\) | 687 |