Table 6
Osculating, heliocentric elements of the best-fitting solutions at the epoch of 1998.830.
| Model IVPO: | m⋆ = 1.52 M⊙, | Π = 24.2585686 mas (24.26 ± 0.05) mas, |  , v = 441, dim p = 11 |
||||
|---|---|---|---|---|---|---|---|
| m (MJup) | a (au) | e | I(deg) | Ω(deg) | ϖ(deg) | M(deg) | |
| HR8799e | 8.1 ± 0.7 | 16.28 ± 0.03 | 0.147 ± 0.001 | 110.8 ± 0.5 | 336.8 ± 0.5 | ||
| 8.24465258 | 16.2817072 | 0.147508399 | 110.765660 | 336.793683 | |||
| HR8799d | 9.5 ± 0.1 | 26.78 ± 0.08 | 0.115 ± 0.001 | 29.4 ± 0.9 | 59.8 ± 0.8 | ||
| 9.48438158 | 26.7888442 | 0.01154150 | 29.4676779 | 59.6448288 | |||
| HR8799c | 7 7±0 5 | 41.40 ± 0.10 | 0.055 ± 0.002 | 26.9 ± 0.2 | 62.2 ± 0.4 | 92.1 ± 0.5 | 145.6 ± 0.8 |
| 7.64047381 | 41.3945527 | 0.05485344 | 26.8923597 | 62.2416412 | 92.1126122 | 145.7203489 | |
| HR8799b | 6.0 ± 0.4 | 71.95 ± 0.13 | 0.017 ± 0.001 | 44.4 ± 3.0 | 309.2 ± 2.6 | ||
| 6.01476193 | 71.9477733 | 0.017597398 | 44.6384383 | 309.291519 | |||
| Model IVPO: | m⋆ = 1.47 M⊙, | Π = 24.5256617 mas (24.53 ± 0.04) mas, |  , v = 441, dim p = 11 |
||||
|---|---|---|---|---|---|---|---|
| m (MJup) | a (au) | e | I(deg) | Ω(deg) | ϖ(deg) | M(deg) | |
| HR8799e | 7.6 ± 0.9 | 16.10 ± 0.03 | 0.148 ± 0.001 | 110.8 ± 0.5 | 336.8 ± 0.3 | ||
| 7.4060918 | 16.1038912 | 0.147675953 | 110.816707 | 336.828050 | |||
| HR8799d | 9.2 ± 0.1 | 26.46 ± 0.09 | 0.115 ± 0.002 | 29.1 ± 1.0 | 60.0 ± 1.0 | ||
| 9.18999484 | 26.45172667 | 0.114600334 | 29.0594738 | 60.1752106 | |||
| HR8799c | 7.7 ± 0.7 | 40.97 ± 0.10 | 0.054 ± 0.002 | 26.9 ± 0.2 | 62.2 ± 0.4 | 92.3 ± 0.6 | 145.5 ± 0.7 |
| 7.79611845 | 40.9861801 | 0.05380902 | 26.8734271 | 62.1852189 | 92.3879462 | 145.5347082 | |
| HR8799b | 5.8 ± 0.4 | 71.14 ± 0.15 | 0.017 ± 0.002 | 43.50 ± 3.0 | 310.35 ± 3.0 | ||
| 5.80235941 | 71.1427851 | 0.01667073 | 42.9704380 | 310.895065 | |||
| Model IVΔn: | m⋆ = 1.47 M⊙, | Π = 24.5256617 mas (24.49 ± 0.07) mas, |  , v = 429, dim p = 23 |
||||
|---|---|---|---|---|---|---|---|
| m (MJup) | a (au) | e | I(deg) | Ω(deg) | ϖ(deg) | M(deg) | |
| HR8799e | 7.5 ± 0.6 | 16.00 ± 0.10 | 0.150 ± 0.004 | 108.8 ± 1.3 | 336.00 ± 1.5 | ||
| 7.40609179 | 16.1038912 | 0.147675954 | 110.816707 | 336.828050 | |||
| HR8799d | 9.3 ± 0.5 | 26.55 ± 0.12 | 0.114 ± 0.004 | 28.66 ± 1.2 | 60.0 ± 1.0 | ||
| 9.18999484 | 26.45172667 | 0.11460033 | 29.05947383 | 60.1752106 | |||
| HR8799c | 7.8 ± 0.6 | 41.00 ± 0.15 | 0.050 ± 0.003 | 26.5 ± 0.5 | 63.1 ± 0.5 | 91.8 ± 1.0 | 145.0 ± 1.0 |
| 7.79611845 | 40.9861801 | 0.05380902 | 26.8734271 | 62.1852189 | 92.3879462 | 145.5347082 | |
| HR8799b | 5.8 ± 0.8 | 71.3 ± 0.2 | 0.017 ± 0.002 | 42.3 ± 1.6 | 310.8 ± 2.0 | ||
| 5.80235941 | 71.1427851 | 0.016670734 | 42.9704380 | 310.895065 | |||
Notes. The stellar mass is m⋆ = 1.52 M⊙ or m⋆ = 1.47 M⊙. Uncertainties for parameters in models IVPO and IVΔn are determined as the 16th and 86th percentiles of the samples. Parameter values with 8–9 significant digits are provided in order to reproduce the results of particular integrations. Parameter v = Nobs − dim p is for the degrees of freedom, where Nobs denotes the number of (α, δ) measurements, and dim p is the number of free parameters.
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