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Table 4.

Derived orbital parameters of Crater-Leo objects: the pericentre (rperi), apocentre (rapo), and eccentricity (e).

MW-only rperi (kpc) rapo (kpc) e tperi (Gyr) Bound orbits (%)

Object Gaia HST Predicted Gaia HST Predicted Gaia HST Predicted Gaia HST Predicted Gaia HST
Leo II 71 18 + 26 $ 71^{+26}_{-18} $ 48 10 + 16 $ 48^{+16}_{-10} $ 226 9 + 9 $ 226^{+9}_{-9} $ 225 7 + 7 $ 225^{+7}_{-7} $ 0 . 55 0.10 + 0.11 $ 0.55^{+0.11}_{-0.10} $ 0 . 66 0.08 + 0.07 $ 0.66^{+0.07}_{-0.08} $ 2 . 1 0.1 + 0.1 $ -2.1^{+0.1}_{-0.1} $ 1 . 9 0.1 + 0.1 $ -1.9^{+0.1}_{-0.1} $ 83%
Leo IV 87 24 + 24 $ 87^{+24}_{-24} $ 110 25 + 14 $ 110^{+14}_{-25} $ 56 10 + 16 $ 56^{+16}_{-10} $ 176 10 + 60 $ 176^{+60}_{-10} $ 185 10 + 54 $ 185^{+54}_{-10} $ 156 5 + 6 $ 156^{+6}_{-5} $ 0 . 39 0.11 + 0.16 $ 0.39^{+0.16}_{-0.11} $ 0 . 27 0.06 + 0.13 $ 0.27^{+0.13}_{-0.06} $ 0 . 48 0.09 + 0.08 $ 0.48^{+0.08}_{-0.09} $ 1 . 3 0.4 + 0.5 $ -1.3^{+0.5}_{-0.4} $ 1 . 2 0.2 + 0.3 $ -1.2^{+0.3}_{-0.2} $ 1 . 6 0.1 + 0.1 $ -1.6^{+0.1}_{-0.1} $ 70% 91%
Leo V 93 24 + 17 $ 93^{+17}_{-24} $ 87 23 + 18 $ 87^{+18}_{-23} $ 40 8 + 13 $ 40^{+13}_{-8} $ 236 16 + 33 $ 236^{+33}_{-16} $ 234 15 + 34 $ 234^{+34}_{-15} $ 207 8 + 10 $ 207^{+10}_{-8} $ 0 . 47 0.04 + 0.13 $ 0.47^{+0.13}_{-0.04} $ 0 . 49 0.05 + 0.13 $ 0.49^{+0.13}_{-0.05} $ 0 . 62 0.06 + 0.06 $ 0.62^{+0.06}_{-0.06} $ 1 . 2 0.1 + 0.2 $ -1.2^{+0.2}_{-0.1} $ 1 . 2 0.1 + 0.2 $ -1.2^{+0.2}_{-0.1} $ 1 . 3 0.1 + 0.1 $ -1.3^{+0.1}_{-0.1} $ 14% 19%
Crater 1 76 20 + 24 $ 76^{+24}_{-20} $ 59 9 + 15 $ 59^{+15}_{-9} $ 154 7 + 53 $ 154^{+53}_{-7} $ 145 4 + 5 $ 145^{+5}_{-4} $ 0 . 39 0.11 + 0.16 $ 0.39^{+0.16}_{-0.11} $ 0 . 43 0.08 + 0.07 $ 0.43^{+0.07}_{-0.08} $ 1 . 8 1.3 + 0.5 $ -1.8^{+0.5}_{-1.3} $ 1 . 6 0.1 + 0.1 $ -1.6^{+0.1}_{-0.1} $ 70%

MW+LMC
Leo II 111 20 + 11 $ 111^{+11}_{-20} $ 48 10 + 18 $ 48^{+18}_{-10} $ 217 10 + 23 $ 217^{+23}_{-10} $ 225 7 + 7 $ 225^{+7}_{-7} $ 0 . 41 0.09 + 0.13 $ 0.41^{+0.13}_{-0.09} $ 0 . 66 0.08 + 0.07 $ 0.66^{+0.07}_{-0.08} $ 1 . 8 0.3 + 0.1 $ -1.8^{+0.1}_{-0.3} $ 2 . 0 0.1 + 0.1 $ -2.0^{+0.1}_{-0.1} $ 77%
Leo IV 81 18 + 27 $ 81^{+27}_{-18} $ 94 16 + 8 $ 94^{+8}_{-16} $ 56 10 + 16 $ 56^{+16}_{-10} $ 163 10 + 56 $ 163^{+56}_{-10} $ 163 10 + 50 $ 163^{+50}_{-10} $ 156 5 + 6 $ 156^{+6}_{-5} $ 0 . 42 0.16 + 0.14 $ 0.42^{+0.14}_{-0.16} $ 0 . 34 0.09 + 0.14 $ 0.34^{+0.14}_{-0.09} $ 0 . 48 0.09 + 0.08 $ 0.48^{+0.08}_{-0.09} $ 1 . 6 1.2 + 0.6 $ -1.6^{+0.6}_{-1.2} $ 1 . 2 0.3 + 0.1 $ -1.2^{+0.1}_{-0.3} $ 1 . 6 0.1 + 0.1 $ -1.6^{+0.1}_{-0.1} $ 65% 97%
Leo V 111 30 + 18 $ 111^{+18}_{-30} $ 100 27 + 23 $ 100^{+23}_{-27} $ 50 9 + 13 $ 50^{+13}_{-9} $ 198 14 + 54 $ 198^{+54}_{-14} $ 184 12 + 51 $ 184^{+51}_{-12} $ 207 8 + 10 $ 207^{+10}_{-8} $ 0 . 32 0.09 + 0.18 $ 0.32^{+0.18}_{-0.09} $ 0 . 35 0.10 + 0.17 $ 0.35^{+0.17}_{-0.10} $ 0 . 62 0.06 + 0.06 $ 0.62^{+0.06}_{-0.06} $ 1 . 3 0.5 + 0.3 $ -1.3^{+0.3}_{-0.5} $ 1 . 5 0.4 + 0.4 $ -1.5^{+0.4}_{-0.4} $ 1 . 3 0.1 + 0.1 $ -1.3^{+0.1}_{-0.1} $ 17% 26%
Crater 1 52 14 + 27 $ 52^{+27}_{-14} $ 59 9 + 15 $ 59^{+15}_{-9} $ 154 6 + 26 $ 154^{+26}_{-6} $ 145 4 + 5 $ 145^{+5}_{-4} $ 0 . 54 0.13 + 0.12 $ 0.54^{+0.12}_{-0.13} $ 0 . 43 0.08 + 0.07 $ 0.43^{+0.07}_{-0.08} $ 2 . 3 1.0 + 0.5 $ -2.3^{+0.5}_{-1.0} $ 1 . 6 0.1 + 0.1 $ -1.6^{+0.1}_{-0.1} $ 78%

Notes. We compare the derived orbital parameters using the proper motions described in Table 2 (Gaia DR3) with the ones derived using the predicted proper motions with the Lynden-Bell method described in Sect. 4.2 (Predicted). For Leo IV and Leo V, we also derive the orbital parameters using our new HST proper motions (HST). For all the derived orbital parameters, the properties described in Table 1 were used. We also mention the percentage of bound orbits that we get for each object. We do this for both the MW-only potential and the MW+LMC potential.

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