This table lists the simulation parameters and outcomes. Each line consists of both an N-body planet simulation and an SPH disc simulation with the same combination of j and i0. The first column describes the simulation name. The second column is the initial inclination of the planet/disc. The third column is the angular momentum ratio of the planet/disc to the binary. The fourth column is the analytically calculated retrograde-polar stationary inclination (see equation 5). The fifth column is the mass of the planet. The sixth column describes whether the orbit of the planet is retrograde circulating (CR), librating (L) or in a crescent orbit (CRESCENT). The seventh column is the mass of the disc. The eighth column describes the orbit type of the disc prior to its 30 per cent mass-loss cut-off. The ninth column describes the disc break radius. The 10th column is the time at which the circumbinary disc simulation has lost 30 per cent of its initial mass.
| Name . | i0 (°) . | j . | irs(°) . | Mp/M . | Planet orbit . | Md/M . | Disc orbit . | Break radius/ab . | Time (Tb) . |
|---|---|---|---|---|---|---|---|---|---|
| Low-j-120 | 120 | 0.5 | – | 0.006 | L | 0.01 | L | – | 2110 |
| Low-j-130 | 130 | 0.5 | – | 0.006 | L | 0.01 | L | – | 1540 |
| Low-j-140 | 140 | 0.5 | – | 0.006 | L | 0.01 | L | – | 1070 |
| Low-j-150 | 150 | 0.5 | – | 0.006 | L | 0.01 | L | – | 850 |
| Low-j-160 | 160 | 0.5 | – | 0.006 | L | 0.01 | L | 6 | 1560 |
| Low-j-170 | 170 | 0.5 | – | 0.006 | L | 0.01 | L | – | 2520 |
| Mid-j-100 | 100 | 1.5 | 139 | 0.018 | L | 0.03 | L | – | 2880 |
| Mid-j-110 | 110 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | L | – | 2320 |
| Mid-j-120 | 120 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT → L | – | 1830 |
| Mid-j-130 | 130 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT | – | 1410 |
| Mid-j-140 | 140 | 1.5 | 139 | 0.018 | irs | 0.03 | |$i_{\rm rs}\, \rightarrow$| L | – | 1140 |
| Mid-j-150 | 150 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT (?) | – | 870 |
| Mid-j-160 | 160 | 1.5 | 139 | 0.018 | CR | 0.03 | CR | 2.5 | 1000 |
| Mid-j-170 | 170 | 1.5 | 139 | 0.018 | CR | 0.03 | CR | – | 2620 |
| High-j-100 | 100 | 2.5 | 129 | 0.031 | L | 0.05 | L | – | 2380 |
| High-j-110 | 110 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT → L | – | 2310 |
| High-j-120 | 120 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT | – | 2230 |
| High-j-130 | 130 | 2.5 | 129 | 0.031 | irs | 0.05 | |$i_{\rm rs}\, \rightarrow$| L | – | 4200 |
| High-j-140 | 140 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT → L | – | 1980 |
| High-j-150 | 150 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | – | 2020 |
| High-j-160 | 160 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | 2.5 | 1110 |
| High-j-170 | 170 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | – | 2620 |
| Name . | i0 (°) . | j . | irs(°) . | Mp/M . | Planet orbit . | Md/M . | Disc orbit . | Break radius/ab . | Time (Tb) . |
|---|---|---|---|---|---|---|---|---|---|
| Low-j-120 | 120 | 0.5 | – | 0.006 | L | 0.01 | L | – | 2110 |
| Low-j-130 | 130 | 0.5 | – | 0.006 | L | 0.01 | L | – | 1540 |
| Low-j-140 | 140 | 0.5 | – | 0.006 | L | 0.01 | L | – | 1070 |
| Low-j-150 | 150 | 0.5 | – | 0.006 | L | 0.01 | L | – | 850 |
| Low-j-160 | 160 | 0.5 | – | 0.006 | L | 0.01 | L | 6 | 1560 |
| Low-j-170 | 170 | 0.5 | – | 0.006 | L | 0.01 | L | – | 2520 |
| Mid-j-100 | 100 | 1.5 | 139 | 0.018 | L | 0.03 | L | – | 2880 |
| Mid-j-110 | 110 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | L | – | 2320 |
| Mid-j-120 | 120 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT → L | – | 1830 |
| Mid-j-130 | 130 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT | – | 1410 |
| Mid-j-140 | 140 | 1.5 | 139 | 0.018 | irs | 0.03 | |$i_{\rm rs}\, \rightarrow$| L | – | 1140 |
| Mid-j-150 | 150 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT (?) | – | 870 |
| Mid-j-160 | 160 | 1.5 | 139 | 0.018 | CR | 0.03 | CR | 2.5 | 1000 |
| Mid-j-170 | 170 | 1.5 | 139 | 0.018 | CR | 0.03 | CR | – | 2620 |
| High-j-100 | 100 | 2.5 | 129 | 0.031 | L | 0.05 | L | – | 2380 |
| High-j-110 | 110 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT → L | – | 2310 |
| High-j-120 | 120 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT | – | 2230 |
| High-j-130 | 130 | 2.5 | 129 | 0.031 | irs | 0.05 | |$i_{\rm rs}\, \rightarrow$| L | – | 4200 |
| High-j-140 | 140 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT → L | – | 1980 |
| High-j-150 | 150 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | – | 2020 |
| High-j-160 | 160 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | 2.5 | 1110 |
| High-j-170 | 170 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | – | 2620 |
This table lists the simulation parameters and outcomes. Each line consists of both an N-body planet simulation and an SPH disc simulation with the same combination of j and i0. The first column describes the simulation name. The second column is the initial inclination of the planet/disc. The third column is the angular momentum ratio of the planet/disc to the binary. The fourth column is the analytically calculated retrograde-polar stationary inclination (see equation 5). The fifth column is the mass of the planet. The sixth column describes whether the orbit of the planet is retrograde circulating (CR), librating (L) or in a crescent orbit (CRESCENT). The seventh column is the mass of the disc. The eighth column describes the orbit type of the disc prior to its 30 per cent mass-loss cut-off. The ninth column describes the disc break radius. The 10th column is the time at which the circumbinary disc simulation has lost 30 per cent of its initial mass.
| Name . | i0 (°) . | j . | irs(°) . | Mp/M . | Planet orbit . | Md/M . | Disc orbit . | Break radius/ab . | Time (Tb) . |
|---|---|---|---|---|---|---|---|---|---|
| Low-j-120 | 120 | 0.5 | – | 0.006 | L | 0.01 | L | – | 2110 |
| Low-j-130 | 130 | 0.5 | – | 0.006 | L | 0.01 | L | – | 1540 |
| Low-j-140 | 140 | 0.5 | – | 0.006 | L | 0.01 | L | – | 1070 |
| Low-j-150 | 150 | 0.5 | – | 0.006 | L | 0.01 | L | – | 850 |
| Low-j-160 | 160 | 0.5 | – | 0.006 | L | 0.01 | L | 6 | 1560 |
| Low-j-170 | 170 | 0.5 | – | 0.006 | L | 0.01 | L | – | 2520 |
| Mid-j-100 | 100 | 1.5 | 139 | 0.018 | L | 0.03 | L | – | 2880 |
| Mid-j-110 | 110 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | L | – | 2320 |
| Mid-j-120 | 120 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT → L | – | 1830 |
| Mid-j-130 | 130 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT | – | 1410 |
| Mid-j-140 | 140 | 1.5 | 139 | 0.018 | irs | 0.03 | |$i_{\rm rs}\, \rightarrow$| L | – | 1140 |
| Mid-j-150 | 150 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT (?) | – | 870 |
| Mid-j-160 | 160 | 1.5 | 139 | 0.018 | CR | 0.03 | CR | 2.5 | 1000 |
| Mid-j-170 | 170 | 1.5 | 139 | 0.018 | CR | 0.03 | CR | – | 2620 |
| High-j-100 | 100 | 2.5 | 129 | 0.031 | L | 0.05 | L | – | 2380 |
| High-j-110 | 110 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT → L | – | 2310 |
| High-j-120 | 120 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT | – | 2230 |
| High-j-130 | 130 | 2.5 | 129 | 0.031 | irs | 0.05 | |$i_{\rm rs}\, \rightarrow$| L | – | 4200 |
| High-j-140 | 140 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT → L | – | 1980 |
| High-j-150 | 150 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | – | 2020 |
| High-j-160 | 160 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | 2.5 | 1110 |
| High-j-170 | 170 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | – | 2620 |
| Name . | i0 (°) . | j . | irs(°) . | Mp/M . | Planet orbit . | Md/M . | Disc orbit . | Break radius/ab . | Time (Tb) . |
|---|---|---|---|---|---|---|---|---|---|
| Low-j-120 | 120 | 0.5 | – | 0.006 | L | 0.01 | L | – | 2110 |
| Low-j-130 | 130 | 0.5 | – | 0.006 | L | 0.01 | L | – | 1540 |
| Low-j-140 | 140 | 0.5 | – | 0.006 | L | 0.01 | L | – | 1070 |
| Low-j-150 | 150 | 0.5 | – | 0.006 | L | 0.01 | L | – | 850 |
| Low-j-160 | 160 | 0.5 | – | 0.006 | L | 0.01 | L | 6 | 1560 |
| Low-j-170 | 170 | 0.5 | – | 0.006 | L | 0.01 | L | – | 2520 |
| Mid-j-100 | 100 | 1.5 | 139 | 0.018 | L | 0.03 | L | – | 2880 |
| Mid-j-110 | 110 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | L | – | 2320 |
| Mid-j-120 | 120 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT → L | – | 1830 |
| Mid-j-130 | 130 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT | – | 1410 |
| Mid-j-140 | 140 | 1.5 | 139 | 0.018 | irs | 0.03 | |$i_{\rm rs}\, \rightarrow$| L | – | 1140 |
| Mid-j-150 | 150 | 1.5 | 139 | 0.018 | CRESCENT | 0.03 | CRESCENT (?) | – | 870 |
| Mid-j-160 | 160 | 1.5 | 139 | 0.018 | CR | 0.03 | CR | 2.5 | 1000 |
| Mid-j-170 | 170 | 1.5 | 139 | 0.018 | CR | 0.03 | CR | – | 2620 |
| High-j-100 | 100 | 2.5 | 129 | 0.031 | L | 0.05 | L | – | 2380 |
| High-j-110 | 110 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT → L | – | 2310 |
| High-j-120 | 120 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT | – | 2230 |
| High-j-130 | 130 | 2.5 | 129 | 0.031 | irs | 0.05 | |$i_{\rm rs}\, \rightarrow$| L | – | 4200 |
| High-j-140 | 140 | 2.5 | 129 | 0.031 | CRESCENT | 0.05 | CRESCENT → L | – | 1980 |
| High-j-150 | 150 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | – | 2020 |
| High-j-160 | 160 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | 2.5 | 1110 |
| High-j-170 | 170 | 2.5 | 129 | 0.031 | CR | 0.05 | CR | – | 2620 |
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