Table 3
Frequency of simulated transiting systems with 1, 2, and 3 planets, for the different planetary frequencies of Table 2.
| msini cutoff | distribution | Single planets [%] | Syst. w/ 2. plan. [%] | Syst. w/ 3. plan. [%] | |
|
|
|||||
| 5 M⊕ | aligned | 5.97e-01 |
1.51e-01 |
1.93e-02 |
|
| 5 M⊕ | R(1.0°) | 6.39e-01 |
1.38e-01 |
1.42e-02 |
|
| 5 M⊕ | R(5.0°) | 8.18e-01 |
6.60e-02 |
2.31e-03 |
|
| 5 M⊕ | R(10.0°) | 8.77e-01 |
3.81e-02 |
7.17e-04 |
|
| 5 M⊕ | R(20.0°) | 9.14e-01 |
2.12e-02 |
2.05e-04 |
|
| 5 M⊕ | R(30.0°) | 9.25e-01 |
1.56e-02 |
1.07e-04 |
|
| 5 M⊕ | R(45.0°) | 9.29e-01 |
1.30e-02 |
6.30e-05 |
|
| 5 M⊕ | isotropic | 9.30e-01 |
1.27e-02 |
6.90e-05 |
|
|
|
|||||
| 7 M⊕ | aligned | 4.94e-01 |
6.75e-02 |
n. d. | |
| 7 M⊕ | R(1.0°) | 5.13e-01 |
5.88e-02 |
n. d. | |
| 7 M⊕ | R(5.0°) | 5.82e-01 |
2.38e-02 |
n. d. | |
| 7 M⊕ | R(10.0°) | 6.03e-01 |
1.31e-02 |
n. d. | |
| 7 M⊕ | R(20.0°) | 6.15e-01 |
6.94e-03 |
n. d. | |
| 7 M⊕ | R(30.0°) | 6.20e-01 |
5.15e-03 |
n. d. | |
| 7 M⊕ | R(45.0°) | 6.22e-01 |
4.28e-03 |
n. d. | |
| 7 M⊕ | isotropic | 6.22e-01 |
4.09e-03 |
n. d. | |
|
|
|||||
| 9 M⊕ | aligned | 4.41e-01 |
3.77e-02 |
n. d. | |
| 9 M⊕ | R(1.0°) | 4.52e-01 |
3.26e-02 |
n. d. | |
| 9 M⊕ | R(5.0°) | 4.91e-01 |
1.34e-02 |
n. d. | |
| 9 M⊕ | R(10.0°) | 5.02e-01 |
7.31e-03 |
n. d. | |
| 9 M⊕ | R(20.0°) | 5.09e-01 |
3.87e-03 |
n. d. | |
| 9 M⊕ | R(30.0°) | 5.10e-01 |
2.83e-03 |
n. d. | |
| 9 M⊕ | R(45.0°) | 5.13e-01 |
2.37e-03 |
n. d. | |
| 9 M⊕ | isotropic | 5.11e-01 |
2.34e-03 |
n. d. | |
|
|
|||||
| 10 M⊕ | aligned | 3.81e-01 |
1.76e-02 |
n. d. | |
| 10 M⊕ | R(1.0°) | 3.86e-01 |
1.55e-02 |
n. d. | |
| 10 M⊕ | R(5.0°) | 4.03e-01 |
6.04e-03 |
n. d. | |
| 10 M⊕ | R(10.0°) | 4.08e-01 |
3.43e-03 |
n. d. | |
| 10 M⊕ | R(20.0°) | 4.13e-01 |
1.85e-03 |
n. d. | |
| 10 M⊕ | R(30.0°) | 4.13e-01 |
1.36e-03 |
n. d. | |
| 10 M⊕ | R(45.0°) | 4.14e-01 |
1.12e-03 |
n. d. | |
| 10 M⊕ | isotropic | 4.14e-01 |
1.13e-03 |
n. d. | |
Notes. The error bars were drawn from the lower and upper limit of HARPS frequencies uncertainties. n.d. stands for “not detected”; see Sect. 4 for more details. Note that for very low frequency values (marked with a *), lower than 5e-04%, the number of events is so low that the error bars are ill defined through Monte-Carlo analysis and cannot be considered meaningful.
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