Table 7
Osculating, heliocentric elements of the best-fitting solutions at the epoch of 1998.83 for models illustrated in Fig. 4 and in Figs. 7–8.
| Model 1: |
m⋆ =1.47 M⊙, |
Π = 24.525662 mas, |
χ2 =1593.22, |
RMS = 7.41 mas, |
log |Δn[rad d−1]| = −12.0 |
|
m (MJup) |
a (au) |
e |
I (deg) |
Ω (deg) |
ω (deg) |
m (deg) |
| HR8799e |
7.4060918 |
16.1038912 |
0.1476760 |
26.8734271 |
62.1852189 |
110.8167067 |
−23.1719500 |
| HR8799d |
9.1899948 |
26.4517267 |
0.1146003 |
26.8734271 |
62.1852189 |
29.0594738 |
60.1752106 |
| HR8799c |
7.7961185 |
40.9861801 |
0.0538090 |
26.8734271 |
62.1852189 |
92.3879462 |
145.5347082 |
| HR8799b |
5.8023594 |
71.1427851 |
0.0166707 |
26.8734271 |
62.1852189 |
42.9704380 |
−49.1049354 |
| Model 2: |
m⋆ =1.47 M⊙, |
Π = 24.451807 mas, |
χ2 = 1568.19, |
RMS = 7.66 mas, |
log |Δn[rad d−1]| =−6.2 |
|
m (MJup) |
a (au) |
e |
I (deg) |
Ω (deg) |
ω (deg) |
m (deg) |
| HR8799e |
7.8680000 |
15.9753973 |
0.1524708 |
26.2394739 |
63.7770393 |
108.3445443 |
335.6210695 |
| HR8799d |
9.6490000 |
26.6396632 |
0.1145654 |
26.2394739 |
63.7770393 |
28.3126706 |
59.7394429 |
| HR8799c |
7.3081300 |
40.9406369 |
0.0517422 |
26.2394739 |
63.7770393 |
91.3551907 |
145.0637721 |
| HR8799b |
5.6590700 |
71.3289844 |
0.0173411 |
26.2394739 |
63.7770393 |
41.6627885 |
310.5199311 |
| Model 3: |
m⋆ =1.52 M⊙, |
Π = 24.347839 mas, |
χ2 = 1624.73, |
RMS = 7.66 mas, |
log |Δn[rad d−1]| = −4.5 |
|
m (MJup) |
a (au) |
e |
I (deg) |
Ω (deg) |
ω (deg) |
m (deg) |
| HR8799e |
8.9817200 |
16.1163303 |
0.1548634 |
27.3470617 |
62.9005413 |
108.0955330 |
336.2997163 |
| HR8799d |
9.0680400 |
26.8768634 |
0.1068892 |
27.3470617 |
62.9005413 |
29.2629241 |
60.0277429 |
| HR8799c |
7.2212900 |
41.0832702 |
0.0627005 |
27.3470617 |
62.9005413 |
91.9708727 |
144.7587008 |
| HR8799b |
6.1950900 |
71.7822044 |
0.0192741 |
27.3470617 |
62.9005413 |
44.4483815 |
308.9107410 |
| Model 4: |
m⋆ =1.52 M⊙, |
Π = 24.305464 mas, |
χ2 = 1564.70, |
RMS = 7.64 mas, |
log |Δn[rad d−1]| = −6.2 |
|
m [MJup] |
a [au] |
e |
I (deg) |
Ω (deg) |
ω (deg) |
m (deg) |
| HR8799e |
10.6577500 |
16.1274692 |
0.1496852 |
26.9747476 |
63.6149718 |
107.6133926 |
336.6560551 |
| HR8799d |
9.5739000 |
26.8852716 |
0.1169394 |
26.9747476 |
63.6149718 |
27.5720349 |
60.0200173 |
| HR8799c |
6.8413200 |
41.2618982 |
0.0555455 |
26.9747476 |
63.6149718 |
93.1349542 |
143.0235158 |
| HR8799b |
5.7085500 |
71.9446080 |
0.0217920 |
26.9747476 |
63.6149718 |
45.1149621 |
307.6876430 |
| Model 5: |
m⋆ =1.47 M⊙, |
Π = 24.466345 mas, |
χ2 = 1591.33, |
RMS = 7.63 mas, |
log |Δn[rad d−1]| = −6.9 |
|
m [MJup] |
a [au] |
e |
I (deg) |
Ω (deg) |
ω (deg) |
m (deg) |
| HR8799e |
7.1130900 |
15.9976012 |
0.1545297 |
26.5969851 |
62.8989533 |
108.8687608 |
336.1919760 |
| HR8799d |
9.8864900 |
26.5290674 |
0.1122973 |
26.5969851 |
62.8989533 |
27.8297522 |
61.2151462 |
| HR8799c |
7.7520500 |
41.1188833 |
0.0497536 |
26.5969851 |
62.8989533 |
92.4070918 |
144.9763772 |
| HR8799b |
5.5380200 |
71.3013150 |
0.0172797 |
26.5969851 |
62.8989533 |
44.6821435 |
308.5634968 |
| Model 6: |
m⋆ =1.47 M⊙, |
Π = 24.539234 mas, |
χ2 = 1568.59, |
RMS = 7.63 mas, |
log |Δn[rad d−1]| = −6.2 |
|
m [MJup] |
a [au] |
e |
I (deg) |
Ω (deg) |
ω (deg) |
m (deg) |
| HR8799e |
7.3387300 |
15.9246991 |
0.1553777 |
26.5990408 |
62.7197878 |
108.3820177 |
336.0139713 |
| HR8799d |
10.0516400 |
26.5092120 |
0.1117405 |
26.5990408 |
62.7197878 |
29.2671129 |
59.8339479 |
| HR8799c |
8.0973100 |
40.9565104 |
0.0509428 |
26.5990408 |
62.7197878 |
91.8212168 |
145.6257159 |
| HR8799b |
5.8932800 |
71.1073028 |
0.0167537 |
26.5990408 |
62.7197878 |
41.9648749 |
311.2692413 |
