Table D.2

Dwarf spheroidal orbital properties.

Name apocentre pericentre eccentr. Lz inclin. θ ϕ Tr Ta Tp
[kpc] [kpc] [km s−1 kpc] [deg] [deg] [Gyr] [Gyr] [Gyr]
Fnx 172.6 116.3 0.27 8123.6 70.7 172.9 3.95 0.98 2.97
                   
156.4 85.9 0.29 7659.9 70.7 172.6 2.65 0.31 1.67
                   
152.4 46.0 0.54 5610.0 69.5 168.4 2.06 0.16 1.18
Dra 90.3 30.4 0.49 −2919.2 107.4 −170.4 1.38 0.30 0.99
                   
85.7 32.0 0.45 −2879.5 106.5 −170.3 1.29 0.18 0.89
                   
86.2 26.6 0.53 −2433.7 104.9 −172.3 1.17 0.22 0.80
Car 107.5 87.0 0.14 −2537.8 98.0 −162.1 2.39 0.05 1.21
                   
106.7 74.5 0.18 −2663.3 98.7 −161.5 1.96 0.08 1.06
                   
106.4 46.0 0.40 −2426.0 99.4 −161.7 1.55 1.54 0.76
UMi 88.0 33.5 0.45 −786.2 94.4 161.3 1.39 0.26 0.96
                   
85.3 36.1 0.40 −1008.4 95.3 162.3 1.32 0.19 0.88
                   
85.6 30.5 0.47 −1314.4 97.2 164.2 1.19 0.20 0.80
Sext 224.3 79.6 0.48 −16800.2 139.4 124.8 4.29 2.34 0.20
                   
164.8 80.1 0.35 −17094.0 139.3 126.8 2.67 1.54 0.18
                   
120.5 70.0 0.27 −14938.4 139.0 133.0 1.94 1.31 0.34
Leo I 820.0 89.5 0.83 −16313.6 125.9 138.4 18.35 10.30 1.01
                   
429.0 112.6 0.61 −21186.6 126.5 136.7 5.04 4.01 0.92
                   
388.0 86.9 0.63 −18831.8 127.0 140.4 4.92 3.43 0.91
Leo II 240.5 68.9 0.56 2055.2 82.3 −128.9 4.38 4.13 1.82
                   
236.4 60.1 0.60 972.6 86.9 −143.2 3.28 3.21 1.51
                   
237.7 45.8 0.68 −280.3 91.2 −91.7 3.01 2.90 1.39
Sgr 44.5 14.8 0.50 −927.1 100.6 90.9 0.62 0.35 0.04
                   
42.6 14.3 0.50 −748.7 98.8 91.6 0.61 0.34 0.05
                   
32.3 12.3 0.45 −222.5 93.0 84.9 0.45 0.28 0.06
Scl 111.8 59.7 0.30 −713.6 92.6 8.1 2.07 1.47 0.43
                   
107.1 61.7 0.27 −787.4 92.8 7.8 1.82 1.31 0.41
                   
100.9 54.4 0.29 −675.1 92.4 7.4 1.57 1.23 0.44
Boo I 78.2 31.7 0.42 −1334.0 97.9 −50.4 1.23 0.92 0.30
                   
75.2 30.1 0.43 −1177.7 97.3 −52.2 1.14 0.88 0.30
                   
71.6 19.8 0.57 −635.7 95.0 −65.1 0.94 0.76 0.29

Notes. In addition to the parameters listed in Table D.1, we also include the angles (θ, ϕ) of the angular momentum vector, and the time elapsed since the last apocentre and pericentre, Ta and Tp respectively. The errors indicate the 16th and 84th percentiles, which were obtained from Monte Carlo realisations sampling the (statistical and systematic) errors in the observables. For each dSph we quote values derived from orbits integrated for 10 Gyr in the Galactic potentials of Models 1, 2, and 3 in the first, second, and third row, respectively. Since for Model-1 there is a significant fraction of the realisations for which Leo I does not complete one radial oscillation in the 10 Gyr of integration, the values quoted here for this dSph for this model were derived for an integration time of 100 Gyr.

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