TABLE 1 The orbital parameters of BMPs. Naoz, Perets & Ragozzine 4 Errors estimates are also shown where available. Unnamed satellites are omitted. Multiple systems are marked with ( $^{⋆}$) and the orbital parameters are for the (listed) outer satellite. All measured orbital parameters are given with respect to J2000 equatorial plane. Calculation method of the mutual inclinations is given in the appendix. Name Satellite Period Separation e i(J2000) i$_{m}$ ω D ratio D$_{p}$ Ω Ref. Name (days) (km) (deg) (deg) (deg) (km) (deg) 3749 Balam ⋆ 61 ± 10 289 ± 13 0.90 0.43 15,25 45 Eugenia ⋆ Petit-Prince 4.77 ± 0.001 1180 ± 8 0 109 ± 2 126.78 112 0.81 202 203 ± 2 16,17 22 Kalliope Linus 3.6 ± 0.001 1095 ± 11 0 99.6 ± 0.5 103.42 -92.5 ± 60 0.15 181 ± 4.6 284.5 ± 2 16,17 283 Emma 3.35 ± 0.00093 581 ± 3.6 0.12 ± 0.01 94.2 ± 0.4 65.46 40 ± 4 0.06 160 345.4 ± 0.4 16,25 130 Elektra 5.26 ± 0.0053 1318 ± 24 0.13 ± 0.03 25 ± 2 23.75 311 ± 5 0.04 215 1.6 ± 2 15,25 379 Huenna 87.6 ± 0.026 3335.8 ± 54.9 0.22 ± 0.01 152.7 ± 0.3 168.84 284 ± 5 0.06 92 204.3 ± 0.3 15,25 762 Pulcova 4.44 ± 0.001 703 ± 13 0.03 ± 0.01 132 ± 2 131.9 -189 ± 20 0.14 137 ± 3.2 235 ± 2 16,25 90 Antiope 0.69 ± $^{4}$. 1 × 10 $_{−}$6 171 ± 13 0.03 63.70 ± 2 54.74 60 ± 30 0.95 87.8 ± 1 303.1 ± 2 6,17 121 Hermione 2.56 ± 0.0021 747 ± 13 0 79.1 ± 4 70.19 84.3 0.17 187 ± 68 83.7 ± 3 7,13 107 Camilla 3.72 ± 0.003 1250 ± 10 0 17 ± 5 28.32 -32 0.06 249 141.00 ± 2 15,25 87 Sylvia ⋆ Romulus 3.65 ± 0.0007 1356 ± 5 0 7 27.89 -87 ± 11 0.46 282 ± 4 101 13,25 617 Patroclus Menoetius 4.28 ± 0.004 680 ± 5 0.02 ± 0.02 0.92 60.9 17 42355 Typhon Echidna 18.97 ± 0.0064 1628 ± 5 0.53 ± 0.02 37.9 ± 2 50.56 99 0.55 76 +14 $_{−}$16 253.1 ± 4 10,21 1999OJ4 84.09 ± 0.016 3303 ± 5 0.37 ± 0.01 53.80 ± 1.2 119.56 53.96 37.5 ± 8.5 275.8 ± 2.2 11 84.14 ± 0.016 3225 ± 18 0.36 ± 0.01 99.8 ± 1.5 56.7 71.7 37.5 ± 8.5 210.2 ± 1.6 11 90482 Orcus Vanth 9.54 ± 0.0001 8980 ± 18 0 90.2 ± 0.6 92.13 0 0.31 900 50 ± 0.6 4 9.5392 ± 0.0001 8985 ± 24 0 305.8 ± 0.6 70.02 0 0.31 900 249.4 ± 0.4 4 47171 TC36 ⋆ 1.9068 ± 0.0001 867 ± 11 0.101 ± 0.006 88.9 ± 0.6 74.21 77.7 0.93 265 +41 $_{−}$35 330 ± 1 1 134340 Pluto ⋆ Charon 6.39 ± 10 $_{−}$6 19571.4 ± 24 0 96.16 119.61 0 0.49 2302 223.05 ± 10 $_{−}$4 3,19,21,25 134860 2000OJ67 22.04 ± 0.004 2361 ± 36 0.09 ± 0.02 84.6 ± 3 85.21 -233.9 69 ± 16 272.9 ± 3.1 11 22.04 ± 0.0036 2352 ± 35 0.09 ± 0.02 73.80 ± 2.9 94.45 136.8 69 ± 16 212.2 ± 3.3 11 2001XR254 125.61 ± 0.12 9326 ± 75 0.56 41.07 ± 0.22 20.27 -94.76 84.5 ± 19.5 341.16 ± 0.33 11 125.61 ± 0.13 9211 ± 69 0.55 154.50 ± 0.22 155.36 -21.88 84.5 ± 19.5 125.18 ± 0.55 11 136108 Haumea ⋆ Hi’iaka 49.13 ± 0.03 49500 ± 69 0.05 234.8 ± 0.4 139.14 278.6 ± 0.4 26.1 ± 0.4 2,21,24 66652 Borasisi 46.26 +0 . 006 $_{−}$0 . 065 4660 ± 170 0.46 ± 0.01 152 ± 3 159.94 ± 4.01 1 316 20,25 46.23 +0 . 006 $_{−}$0 . 074 4700 ± 170 0.45 ± 0.01 51 ± 3 167.39 ± 3.44 1 316 20,25 2001QW322 9855 114000 ± 0.2 118 54 22 6570 105000 ± 0.4 130 58 23 88611 Teharonhiawako Sawiskera 876 ± 227 31409 ± 2500 0.31 ± 0.08 128.1 ± 6.5 128.8 330.3 ± 22.4 0.69 78 96.70 ± 13.4 22,25 2003TJ58 137.32 ± 0.19 3799 ± 54 0.53 ± 0.01 38.1 ± 2.1 62.25 -110.04 32.5 ± 7.5 194.60 ± 4.2 11 137.32 ± 0.19 3728 ± 44 0.53 ± 0.01 96.1 ± 2 116.77 -88.90 32.5 ± 7.5 150.80 ± 2.8 11 1998WW31 574 ± 10 22300 ± 44 0.82 ± 0.05 41.7 ± 0.7 51.96 159.50 0.83 118 94.30 ± 0.8 25,26 2004PB108 97.02 ± 0.07 10400 ± 130 0.44 ± 0.01 89 ± 1.1 84.13 229.93 120.5 ± 27.5 121.99 ± 0.75 11 97.08 ± 0.069 10550 ± 130 0.45 ± 0.01 106.55 ± 0.99 95.23 211.91 120.5 ± 27.5 30.19 ± 0.86 11 58534 Logos Zoe 312 ± 3 8010 ± 80 0.45 ± 0.03 121.5 ± 2 310.13 ± 2.87 0.825 80 19,25 310 ± 3 7970 ± 80 0.37 ± 0.01 69 ± 2 298.09 ± 5.73 0.825 80 19,25 2000QL251 56.46 ± 0.018 4991 ± 17 0.49 ± 0.01 127.78 ± 0.62 135.7 42.2 74 ± 17 109.5 ± 1.1 11 56.44 ± 0.017 5014 ± 16 0.49 ± 0.01 45.62 ± 0.66 46.58 45.70 74 ± 17 71.20 ± 1.1 11 136199 Eris Dysnomia 15.77 ± 0.002 37430 ± 140 0.01 61.3 ± 0.7 94.98 2400 ± 100 139 ± 1 3,8,21 15.77 ± 0.002 37370 ± 150 0.01 142 ± 3 85.74 2400 ± 101 68 ± 3 3,8,21 65489 Ceto Phorcys 9.55 ± 0.007 1841 ± 47 0.02 116.6 ± 3 115.38 -64.6 0.17 87 134.6 ± 3.4 9,23 9.56 ± 0.008 1840 ± 47 0.01 68.8 ± 2.9 66.28 -65.5 0.79 87 105.5 ± 3.7 9,23 References: 1 Benecchi et al. (2009b) 2 Brown et al. (2005) 3 Brown & Schaller (2007) 4 Brown et al. (2010) 5 Buie et al. (2006) 6 Descamps et al. (2007) 7 Descamps et al. (2009) 8 Greenberg & Barnes (2008) 9 Grundy et al. (2007) 10 Grundy et al. (2008) 11 Grundy et al. (2009) 12 Hestroffer et al. (2005) 13 Marchis et al. (2005) 14 Marchis et al. (2006) 15 Marchis et al. (2008b) 15 Marchis et al. (2008a) 17 Margot & Brown (2001) 18 Noll et al. (2003) 19 Noll et al. (2004a) 20 Noll et al. (2004b) 21 Noll et al. (2008) 22 Osip et al. (2003) $^{23}$Petit et al. (2008) 24 Rabinowitz et al. (2006) 25 Richardson & Walsh (2006) 26 Veillet et al. (2002)