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The Sky
Nearest sun
A · 1.500 AU · disc
S/S0
0.6747
Surface
231 K
Era
Settling · 0 d
Lyapunov τ
measuring
THE TRISOLARIS BENCH · THE THREE-BODY PROBLEM, PRICED
A planet of three suns in the novel, the real Alpha Centauri beside it
the novel's sentences reported by chapter; the real system tabulated from Akeson 2021 and Kervella 2017
the discs, the tides and the horizon exact; the integrator, the ice and the formation modelled
for each sentence: which distance, which speed, which precision
stand on the plain · run the orbits · weigh the tides · forecast · freeze · open the file
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Evidence
fact ⇄ what kind of claim · live
The novel, ch. 7: the eighteen-hour day, the eras, the long night and its three snows
the novel's own sentences, by chapter
REPORTED
The novel, ch. 15 and 16: three suns, the football, the flying stars, the tri-solar day; Wei Cheng
the game's sentences and a character's
REPORTED
The novel, ch. 17 and 18: the formation computer, the two years, the syzygy and the jump; Pan Han
the sentences the Forecast and the Tides price
REPORTED
The novel, ch. 19, 20, 23: the giant moon, the Pendulum Monument, the Great Rip; four light-years; Alpha Centauri
the sentences of the rip and the distance
REPORTED
The novel, ch. 11: four civilisations in 362,000 years
Mozi's chapter, on the File
REPORTED
The novel, ch. 32: the Trisolarans' lifespan in Trisolaran hours
on the File
REPORTED
The novel, ch. 33: the Pendulum Monument really existed; the fleet's hours
the monument; the File
REPORTED
Akeson et al. 2021, Tables 8 and 10: A 1.0788 and B 0.9092 M☉, a 17.4930″, e 0.51947; Proxima's orbit
the Real preset's orbits
TABULATED
Kervella et al. 2017, Tables 1 and 3: Proxima 0.1221 M☉, 0.1542 R☉; its orbit
Proxima's mass and radius; the File
TABULATED
Proxima's luminosity, 0.001567 L☉ (the Proxima Centauri page)
Proxima's irradiance and colour
TABULATED
The Trisolaran hour, 0.8869 Earth hours (INST-89, from the novel's own conversion)
the File's lifespan and fleet years
TABULATED
Pourbaix and Boffin 2016, Table 1: the AB orbit beside Akeson's
on the File
TABULATED
Wiegert and Holman 1997: the zones; unstable in the plane from 3.5 AU
the planet's room about A and B
TABULATED
Anglada-Escudé et al. 2016: Proxima b at 0.05 AU
on the File
TABULATED
Alpha Centauri at 4.344 ly; the Sun from there at +0.5 (the Alpha Centauri page)
the distance and the Sun in the Sky
TABULATED
NASA's Sun and Earth sheets: the Sun's mass, radius and density; g 9.820 m/s², S0 1,361.0 W/m², albedo 0.294
every S0, K and g on the page
TABULATED
The naked eye's 1′ (the naked eye page); the magnitude scale (the apparent magnitude page)
disc or point; how bright a point
TABULATED
Iron melts at 1,811 K, boils at 3,134 K (the iron page)
the rip's temperature rungs
TABULATED
Dry ice 194.7 K, nitrogen 63.23 K, oxygen 54.36 K
the Night's snow lines
TABULATED
Ice: 916.7 kg/m³, k 2.2175 W/(m·K), latent heat 333.55 kJ/kg, emissivity 0.97
the ice model's constants
TABULATED
ENIAC: 5,000 additions a second (the ENIAC page)
the Forecast's mark
TABULATED
Huangpu: 20.43 km²; the world: about 8.3 billion
the Huangpu card
TABULATED
The speed of sound, 343 m/s at 20 °C
the cavalry bus
TABULATED
The angular diameter 2 asin(R/d); irradiance L/(4πd²)
the discs and the S0
EXACT
The equilibrium temperature (S(1 − A)/(4σ))^¼; the substellar (S/σ)^¼
the surface's two temperatures
EXACT
The tide 2GMR/r³ and the lift distance (2GMR/g)^⅓
the syzygy strip
EXACT
The Roche limits, fluid 2.44 R(ρ_M/ρ_m)^⅓ and rigid
the moon and the rip
EXACT
Free fall √(2GM/r) and its time; Kepler's period
the closing speed; the moon's period
EXACT
The Lyapunov horizon t = τ ln(tol/δ₀)
the Forecast's curves
EXACT
The integrator: Yoshida's fourth-order kick-drift-kick, the step tied to the closest pair; the twin for τ
the Orbits' run, pinned by the tune
MODELLED
Staging: the Stable Era, the bench's definition: 0.5 to 2 S0 for 30 days or more
the era strip and the status bar
MODELLED
The ice sheet: quasi-steady conduction, the latent heat at the base, radiation to a sunless sky
the Night's curves
MODELLED
The formation computer as a synchronous machine: steps × stages × path × time per link
the Forecast's right side
MODELLED
Staging: the 18 h day, the hour the host sun's solar time, the upright axis, the observer at latitude 30°, the phases at t = 0, the Lagrange nudge, the presets' bearings (A 0°, B +14°, P −20°), the screen's mapping of each sun's light (the shadows lifted for the dim suns, the exposure lowered under several suns, the discs drawn after the tone curve), the Pendulum Monument's 300 m pillars 400 m away, Earth's night sky with the Sun 1.5° east of ε Cassiopeiae
the Sky's stage, each item named
MODELLED
What the novel says, and what the arithmetic gives: two readings at equal size
the question the bench leaves to you
READING
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drag to look around · the presets set the three suns' distances, the Link switch takes them from the Orbits' run · space plays or pauses the run · click a chip