Table 3
Minimum bound mass for each of our cases.
| Case | c | MDM,LeoIV | rvir,LeoIV | MDM,LeoV | rvir,LeoV | Mtot | Ratio | Scenario |
| [M⊙] | [kpc] | [M⊙] | [kpc] | [M⊙] | ||||
|
|
||||||||
| 0a | ∞ | – | – | – | – | 4.18 × 109 | – | Point masses (a) |
| 0b | ∞ | – | – | – | – | 1.47 × 1010 | – | Point masses (b) |
|
|
||||||||
| 1 | 5 | 1.34 × 1010 | 49.00 | 7.45 × 109 | 40.29 | 2.09 × 1010 | 0.965 | rad. vel. mass ratio 1.8 |
| 2 | 10 | 1.27 × 1010 | 48.11 | 7.05 × 109 | 39.55 | 1.98 × 1010 | 0.953 | rad. vel. mass ratio 1.8 |
| 3 | 20 | 1.22 × 1010 | 47.42 | 6.75 × 109 | 39.98 | 1.89 × 1010 | 0.935 | rad. vel. mass ratio 1.8 |
|
|
||||||||
| 1a | 5 | 9.05 × 109 | 42.99 | 9.05 × 109 | 42.99 | 1.81 × 1010 | 1.179 | rad. vel. equal mass |
| 2a | 10 | 8.55 × 109 | 42.18 | 8.55 × 109 | 42.18 | 1.71 × 1010 | 1.194 | rad. vel. equal mass |
| 3a | 20 | 8.30 × 109 | 41.76 | 8.30 × 109 | 41.76 | 1.66 × 1010 | 1.204 | rad. vel. equal mass |
|
|
||||||||
| 4 | 5 | 3.47 × 1010 | 67.25 | 1.93 × 1010 | 55.28 | 5.39 × 1010 | 0.993 | rad.& tang. vel. mass ratio 1.8 |
| 5 | 10 | 3.11 × 1010 | 64.83 | 1.73 × 1010 | 53.30 | 4.83 × 1010 | 0.956 | rad.& tang. vel. mass ratio 1.8 |
| 6 | 20 | 2.84 × 1010 | 62.90 | 1.58 × 1010 | 51.70 | 4.42 × 1010 | 0.968 | rad.& tang. vel. mass ratio 1.8 |
|
|
||||||||
| 4a | 5 | 2.40 × 1010 | 59.50 | 2.40 × 1010 | 59.50 | 4.80 × 1010 | 1.450 | rad.& tang. vel. equal mass |
| 5a | 10 | 2.20 × 1010 | 57.80 | 2.20 × 1010 | 57.80 | 4.40 × 1010 | 1.372 | rad.& tang. vel. equal mass |
| 6a | 20 | 2.10 × 1010 | 56.91 | 2.10 × 1010 | 56.91 | 4.20 × 1010 | 1.284 | rad.& tang. vel. equal mass |
Notes. The first column gives the number of the case, the second is the adopted concentration of the haloes. Then we give the mass of the DM halo and its virial radius for Leo IV and Leo V. The next column gives the total mass in DM of the whole system, the next column shows the “ratio” by which the maximum distance differs between the full N-body simulation and the two-body code. The last column is a short explanation for the cases rad. vel. = only radial velocity, rad. & tan. vel. = radial and tangential velocity adopted; mass ratio 1.8 = the two haloes have a fixed mass ratio of 1.8; equal mass = the two haloes have the same mass.
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