Calculadora de Raio de Anã Branca
Calcule o raio de uma anã branca com base na sua massa.
Radius (R_sun)
0.014939 R_sun
Radius (R_sun) vs White Dwarf Mass
Formula
## White Dwarf Mass-Radius Relation White dwarfs are supported by electron degeneracy pressure. An unusual property: more massive white dwarfs are smaller. ### Approximate Relation **R / R_sun ≈ 0.0126 × (M/M_sun)^(-1/3)** A 0.6 M_sun white dwarf is roughly Earth-sized. As mass approaches the Chandrasekhar limit (1.4 M_sun), the radius shrinks toward zero.
Exemplo Resolvido
A 0.6 M_sun white dwarf.
- 01R/R_sun = 0.0126 × 0.6^(-1/3)
- 020.6^(-1/3) = 1/(0.6^(1/3)) = 1/0.8434 = 1.1856
- 03R/R_sun = 0.0126 × 1.1856 = 0.01494
- 04R = 0.01494 × 695700 = 10 394 km ≈ 1.63 R_Earth
Perguntas Frequentes
Why are heavier white dwarfs smaller?
More mass means stronger gravity, compressing the degenerate electron gas further. This is the opposite of normal stars.
What is a typical white dwarf mass?
About 0.6 M_sun. Most white dwarfs fall between 0.5 and 0.8 M_sun.
How dense is a white dwarf?
About 10^6 kg/m³ on average (a million times water). A teaspoon would weigh about a tonne.