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Table 3

Atmosphere profiles giving good fit to the 1998 and 2011 data brightness profiles.

Year H* Ambient H χ2ν Remark

T H % of V2 base Scale factor to V2 base
(eV) (km) ambient H abundance ambient H profile
0.15 2500 0.45% 0.45 1.85 Requires reduction in Voyager 2 base ambient H by a factor of ~2
0.17 3000 0.3% 0.8 1.75
1998 0.2 3500 0.24% 1.0 2.0 For an ambient H abundance = V2 base ambient H abundance
0.23 4000 0.2% 1.1 2.8
0.23 4000 0.15% 1.3 2.25
0.3 5000 0.075% 1.5 3.0
0.35 6000 0.03% 1.7 3.5 χν2$\chi _v^2$ increases rapidly at higher T

0.17 3000 0.3% 0.6 1.1 Ambient H abundance 40% lower than Voyager 2 base ambient H abundance
0.23 4000 0.1% 1.0 1.1
0.3 5000 0.05% 1.0 1.0
0.4 7000 0.02% 1.0 1.0
2011 0.52 9000 0.01% 1.0 1.1 Most probable Maxwellian speed is 12V Uranus ${1 \over 2}{V_{\infty - {\rm{Uranus}}}}$
0.64 12 000 0.0075% 1.0 1.15
0.88 15 000 0.006% 1.0 1.65
1.05 18 000 0.004% 1.05 1.35
1.46 25 000 0.003% 1.05 1.8 Brightness profiles disagree 2 RU onwards.
2.0 35 000 0.0025% 1.05 2.6 Most probable Maxwellian speed is close to
to V∞–Uranus. Half of the population is escaping

Notes. For all the H* profiles we used 𝓏max = 3000 km. Except ambient H, rest of the atmosphere profile is same as that of the Voyager 2 base profile. The Voyager 2 base ambient H abundance is 2.8 × 1017 cm−2.

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