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Astronomy

Hertzsprung–Russell diagram

Explore temperature, luminosity and radius, compare two 3D stars, and inspect an offline HYG colour–magnitude sample.

Hertzsprung–Russell diagram — Actual application image
Actual application image

What happens

Drag the point on the physical diagram. Temperature decreases to the right and bolometric luminosity increases upward; both axes are logarithmic. The radius follows the Stefan–Boltzmann relation. Compare two stars at the same temperature: a hundredfold luminosity needs a tenfold radius. The main-sequence guide and physical presets are illustrative, not measured objects or age tracks. Arbitrary parameters need not describe an equilibrium star. In the separate observed view, B−V and M_V come from a selected HYG sample. Distances and visual magnitudes determine M_V with zero extinction correction. No bolometric radius is inferred from these data. Photospheric colour and granulation are display illustrations.

Equations used in the module
Equations
L = 4*pi*R²*sigma*T_eff^4; T_sun = 5772 K (IAU 2015 B3)
R/R_sun = sqrt(L/L_sun) * (5772 K / T_eff)²
physical axes: log10(T_eff/K), reversed; log10(L/L_sun), upward
observed axes: B-V (mag), rightward; M_V (mag), brighter upward
M_V = V - 5*log10(d/pc) + 5; A_V = 0 here (not extinction-corrected)
display colour only: T_colour = 4600 K * (1/(0.92*(B-V)+1.7) + 1/(0.92*(B-V)+0.62))
physical radii: R_display proportional to R, or explicitly compressed as R^0.22
HYG v4.0 teaching sample; d <= 100 pc; no parallax-uncertainty cut; not a volume-complete population
observed M_V is not M_bol; observed points have no inferred bolometric radius or age

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Stellar evolution tracks — Actual application image

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A star and its Hertzsprung-Russell diagram on the same clock. The colour comes from the track temperature through the Planck curve, the size from the radius that follows from L and T - nothing is hand-coloured.

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