Table A.5
Initial characteristics of C-type models.
| No. | ro | Mmo | ϑ | σ | R min | R max | β |
| [au] | [ M⋆ ] | [deg] | [deg] | [km] | [km] | [1] | |
|
|
|||||||
| C1 | 5 | 10-9 | 30 | 45 | 879 | 1 758 | 0.07 |
| C2 | 0.35 | ||||||
| C3 | 0.629 | ||||||
| C4 | 5 | 10-8 | 30 | 45 | 5 × 103 | 104 | 0.07 |
| C5 | 0.35 | ||||||
| C6 | 0.42 | ||||||
| C7 | 7 | 10-8 | 30 | 45 | 5 × 103 | 104 | 0.629 |
| C8 | 5 | 10-9 | 30 | 45 | 5 × 103 | 104 | 0.07 |
| C9 | 0.21 | ||||||
| C10 | 0.35 | ||||||
| C11 | 0.42 | ||||||
| C12 | 0.629 | ||||||
| C13 | 5 | 10-9 | 30 | 45 | 7 × 103 | 1.4 × 104 | 0.49 |
| C14 | 5 | 10-9 | 30 | 45 | 1.08 × 104 | 2.1 × 104 | 0.629 |
| C15 | 5 | 10-8 | 210 | 330 | 5 × 103 | 104 | 0.629 |
| C16 | 5 | 10-8 | 210 | 45 | 5 × 103 | 104 | 0.629 |
| C17 | 5 | 10-8 | 225 | 315 | 5 × 103 | 104 | 0.629 |
| C18 | 5 | 10-8 | 30 | 225 | 5 × 103 | 104 | 0.629 |
| C19 | 5 | 10-8 | 30 | 315 | 5 × 103 | 104 | 0.629 |
| C20 | 5 | 10-8 | 330 | 45 | 5 × 103 | 104 | 0.629 |
| C21 | 5 | 10-8 | 30 | 45 | 1 503 | 22 347 | 0.07 |
| C22 | 0.629 | ||||||
| C23 | 1.4 | ||||||
| C24 | 5 | 10-9 | 30 | 45 | 698 | 10 373 | 0.07 |
| C25 | 0.629 | ||||||
| C26 | 1.4 | ||||||
| C27 | 5 | 10-10 | 30 | 45 | 324 | 4815 | 0.07 |
| C28 | 0.629 | ||||||
| C29 | 1.4 | ||||||
| C30 | 5 | 10-11 | 30 | 45 | 150 | 2235 | 0.07 |
| C31 | 0.629 | ||||||
| C32 | 1.4 | ||||||
| C33 | 5 | 10-12 | 30 | 45 | 70 | 1037 | 0.07 |
| C34 | 0.629 | ||||||
| C35 | 1.4 | ||||||
| C36∗ | 5 | 10-8 | 30 | 45 | 5 × 103 | 104 | 0.629 |
| C37∗ | 5 | 10-8 | 30 | 45 | 5 × 103 | 104 | 0.629 |
| C38∗ | 0.8 | ||||||
| C39∗ | 0.9 | ||||||
Notes. In all these models, we consider 103 test particles and the massive object moving in the standard orbit having the periastron equal to 0.1 au and apastron 50 au. ϑ and σ are the angles characterizing the orientation of the ring. Rmin and Rmax are the radii of its inner and outer border. The other denotations are the same as in Tables A.1 and A.3. Remark∗: in models C36 to C39, the distribution of the DPs in the ring is not uniform, but their radial profile is generated using the formula for the MO-centric distance of jth DP rj = 7500 ± 2500η2 (rj = 7500 ± 2500η3/2) in kilometers. The sign in pair ± is randomly generated and η is a random number from the interval (0, 1).
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