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Table 1.

Constellations used in this study; it is meant to provide a representative sample.

Constellation a Satellites Satellites Magnitude at
Alt. for above horizon above zmax = 60° Orbital zenith z = 60°




zenith period
N h γo a % N a % N P
[km] [deg] [deg] [deg] [h] [mag] [mag]
1 2 3 4 5 6 7 8 9 10 11 12
SpaceX Starlink
 340 7518 340 −18.3 −36.6 2.5% 190.3 −23.0 0.2% 12.6 1.51 3.2 4.8
 550 1600 550 −23.0 −46.0 4.0% 63.5 −30.1 0.4% 6.2 1.58 4.2 5.9
 1150 2800 1150 −32.1 −64.2 7.6% 214.0 −44.9 1.2% 34.8 1.79 5.8 7.5
OneWeb 648 1200 −32.7 −65.4 7.9% 51.3 −45.9 1.3% 8.6 1.81 5.9 7.5
Amazon Kuiper
 590 784 590 −23.8 −47.5 4.2% 33.2 −31.3 0.4% 3.4 1.60 4.4 6.0
 610 1296 610 −24.1 −48.2 4.4% 56.6 −31.9 0.5% 6.0 1.60 4.5 6.1
 630 1156 630 −24.5 −49.0 4.5% 52.0 −32.5 0.5% 5.6 1.61 4.5 6.1
Sat Revolution 1024 350 −18.6 −37.1 2.6% 26.6 −23.4 0.2% 1.8 1.52 3.2 4.9
China CASC 320 1100 −31.5 −63.0 7.4% 23.5 −43.9 1.2% 3.7 1.78 5.7 7.4
China LuckyStar 156 1000 −30.2 −60.4 6.8% 10.6 −41.7 1.0% 1.6 1.74 5.5 7.2
China Commsat 800 600 −23.9 −47.9 4.3% 34.4 −31.6 0.4% 3.6 1.60 4.4 6.0
China Xinwei 32 600 −23.9 −47.9 4.3% 1.4 −31.6 0.4% 0.1 1.60 4.4 6.0
India AstroTech 600 1400 −34.9 −69.8 9.0% 54.0 −49.7 1.6% 9.9 1.88 6.3 7.9
Boing 2956 1030 −30.6 −61.2 7.0% 205.6 −42.4 1.1% 31.2 1.75 5.6 7.2
LeoSat 108 1423 −35.2 −70.3 9.1% 9.9 −50.1 1.7% 1.8 1.89 6.3 7.9
Samsung 4700 2000 −40.4 −80.9 11.9% 561.2 −59.2 2.7% 124.8 2.11 7.0 8.7
Yaliny 135 600 −23.9 −47.9 4.3% 5.8 −31.6 0.4% 0.6 1.60 4.4 6.0
Telesat LEO 117 1000 −30.2 −60.4 6.8% 7.9 −41.7 1.0% 1.2 1.74 5.5 7.2

(Iridium) 66 780 −27.0 −54.0 5.5% 3.6 −36.5 0.7% 0.5 1.66 5.0 6.6

Total 26 750 1605 258

Notes. The list includes the number of satellites (Col. 1) and their altitude in km (Col. 2). Column 3 is the elevation of the Sun for which a satellite at Zenith is just illuminated, also for which half the satellites in range are illuminated; by construction, it is also the angle Zenith-Centre of Earth-Satellite at which the satellite is on the horizon. Considering the cases of satellites above the horizon and above a zenithal distance of 60°, the table also lists the minimum solar elevation required to illuminate all these satellites (Cols. 4 and 7); the fraction of the constellation that is in range (Cols. 5 and 8) and the corresponding number of satellites in range (Cols. 6 and 9). For reference, the orbital period is listed (Col. 10), as well as the magnitude of a satellite at zenith (Col. 11) and at z = 60° (Col. 12), for an intermediate solar phase angle of 90°, considering our simple photometric model.

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