Table 2 Required measurement precisions in the rotation rate and acceleration along with the associated 6DoF instrument requirements corresponding to the ASD of these precisions
From: PIONEERS: a 6DoF motion sensor to measure rotation and tides in the Solar System
Body | Libration frequency (Hz) | \(p_{\Omega }\) [\(\textrm{rad} \textrm{s}^{-1}\)] | \(p_{\Omega _{ASD}}\) [\(\textrm{rad}/\textrm{s}/\sqrt{\textrm{Hz}}\)] | \(p_{a_c}\) [\(\textrm{m}\textrm{s}^{-2}\)] | \(p_{a_{c_{ASD}}}\) [\(\textrm{m}/\textrm{s}^{2}/\sqrt{\textrm{Hz}}\)] | Mission duration (days) |
|---|---|---|---|---|---|---|
Dimorphos | \(2.330\times 10^{-5}\) | \(1.55\times 10^{-6}\) | \(7.16\times 10^{-4}\) | \(3.71\times 10^{-8}\) | \(1.72\times 10^{-5}\) | 5 |
Phobos | \(3.628\times 10^{-5}\) | \(1.27\times 10^{-9}\) | \(4.70\times 10^{-7}\) | \(6.40\times 10^{-9}\) | \(2.38\times 10^{-6}\) | 3 |
Europa | \(3.259\times 10^{-6}\) | \(7.87\times 10^{-11}\) | \(9.75\times 10^{-8}\) | \(5.03\times 10^{-9}\) | \(6.23\times 10^{-6}\) | 35.5 |
Io | \(6.542\times 10^{-6}\) | \(2.97\times 10^{-9}\) | \(2.59\times 10^{-6}\) | \(4.44\times 10^{-7}\) | \(3.88\times 10^{-4}\) | 17.5 |
Titan | \(7.259\times 10^{-7}\) | \(4.43\times 10^{-12}\) | \(1.16\times 10^{-8}\) | \(1.04\times 10^{-10}\) | \(2.72\times 10^{-7}\) | 160 |
Enceladus | \(8.436\times 10^{-6}\) | \(4.42\times 10^{-10}\) | \(3.40\times 10^{-7}\) | \(1.18\times 10^{-8}\) | \(9.09\times 10^{-6}\) | 14 |
Triton | \(1.969\times 10^{-6}\) | \(7.40\times 10^{-15}\) | \(1.18\times 10^{-11}\) | \(2.47\times 10^{-13}\) | \(3.95\times 10^{-10}\) | 60 |
Moon | \(4.209\times 10^{-7}\) | \(1.11\times 10^{-14}\) | \(3.80\times 10^{-11}\) | \(1.02\times 10^{-13}\) | \(3.51\times 10^{-10}\) | 275 |
Mars | \(1.128\times 10^{-5}\) | \(4.00\times 10^{-14}\) | \(6.89\times 10^{-10}\) | \(1.92\times 10^{-11}\) | \(3.31\times 10^{-8}\) | 687 |