Table 1 Physical and dynamical parameters of the selected bodies
From: PIONEERS: a 6DoF motion sensor to measure rotation and tides in the Solar System
Body | r (km) | Mass (kg) | Parent body mass (\(10^{24} \text{kg}\)) | Mean orbital distance d (km) | \(T_{\text{orb}}\) (day) | \(\Omega _0\) \([\textrm{rad}\,\textrm{s}^{-1}]\) | \({\dot{\Omega }}_0\) \([\textrm{rad}\,\textrm{s}^{-2}]\) | \(A_{\text L} [\circ ]\) | Tidal acceleration (\(\textrm{m}\textrm{s}^{-2}\)) | \(k_2\) | \(h_2\) | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Dimorphos | \({75.5\times 10^{-3}}\) | \(4.84\times 10^{9}\) | Didymos: \(5.557\times 10^{-13}\) | 1.20 | 0.474 | \(1.46\times 10^{-4}\) | \(2.14\times 10^{-8}\) | [7.00,45.00] | This study | \(1.694\times 10^{-6}\) | [1.72,2.55]\(\times 10^{-4}\) | [2.86,4.25]\(\times 10^{-4}\) | This study |
Phobos | 11.08 | \(1.06\times 10^{16}\) | Mars: 0.642 | \(9.40\times 10^{3}\) | 0.319 | \(2.28\times 10^{-4}\) | \(5.20\times 10^{-8}\) | [1.08,1.10] | Lainey (2021) | \(5.710\times 10^{-4}\) | [0.53,5.30]\(\times 10^{-4}\) | [0.88,8.80]\(\times 10^{-4}\) | Le Maistre et al. (2013) |
Europa | 1560.80 | \(4.80\times 10^{22}\) | Jupiter: 1898.125 | \(6.71\times 10^{5}\) | 3.551 | \(4.92\times 10^{-4}\) | \(2.42\times 10^{-7}\) | [2.42,3.80]\(\times 10^{-2}\) | Van Hoolst et al. (2013) | \(1.226\times 10^{-3}\) | [1.20,1.30] | [2.3,2.7]\(\times 10^{-1}\) | Van Hoolst et al. (2013) |
Io | 1821.49 | \(8.93\times 10^{22}\) | - ” - | \(4.22\times 10^{5}\) | 1.769 | \(4.11\times 10^{-5}\) | \(1.69\times 10^{-9}\) | [0.53,3.12]\(\times 10^{-1}\) | Van Hoolst et al. (2020) | \(6.129\times 10^{-3}\) | [5.1,8.3]\(\times 10^{-2}\) | [0.09,2.1] | Van Hoolst et al. (2020) |
Titan | 2574.73 | \(1.35\times 10^{23}\) | Saturn: 568.317 | \(1.22\times 10^{6}\) | 15.945 | \(1.10\times 10^{-4}\) | \(1.20\times 10^{-8}\) | [4.19,7.69]\(\times 10^{-3}\) | Van Hoolst et al. (2013) | \(8.922\times 10^{-5}\) | [5.49,6.83]\(\times 10^{-1}\) | [1.30,1.70] | |
Enceladus | 252.10 | \(1.08\times 10^{20}\) | – | \(2.38\times 10^{5}\) | 1.372 | \(5.30\times 10^{-5}\) | \(2.81\times 10^{-9}\) | [1.05,1.35]\(\times 10^{-1}\) | Thomas (2016) | \(7.774\times 10^{-4}\) | [1.00,7.00]\(\times 10^{-2}\) | [0.15,1.9]\(\times 10^{-1}\) | |
Triton | 1352.60 | \(2.14\times 10^{22}\) | Neptune: 102.409 | \(3.55\times 10^{5}\) | 5.877 | \(1.24\times 10^{-5}\) | \(1.53\times 10^{-1}\) | [3.2,5.4]\(\times 10^{-6}\) | This study | \(2.870\times 10^{-4}\) | [0.1,3.4]\(\times 10^{-1}\) | [0.1,1.2] | This study |
Moon | 1737.40 | \(7.346\times 10^{22}\) | Earth: 5.972 | \(3.84\times 10^{5}\) | 27.322 | \(2.66\times 10^{-6}\) | \(7.08\times 10^{-12}\) | [4.66,4.67]\(\times 10^{-3}\) | Rambaux and Williams (2010) | \(1.223\times 10^{-5}\) | [2.22,2.26]\(\times 10^{-2}\) | [3.64,3.78]\(\times 10^{-2}\) | |
Mars | 3389.50 | \(6.417\times 10^{24}\) | Sun: 1988500 | 1.52 au | 686.97 | \(7.09\times 10^{-5}\) | \(5.02\times 10^{-9}\) | [1.22,3.25]\(\times 10^{-6}\) | Konopliv et al. (2020) | \(2.805\times 10^{-8}\) | [1.66,1.82] \(\times 10^{-1}\) | [3.08,3.38]\(\times 10^{-1}\) | Konopliv et al. (2020) |