Use the radius-luminosity-temperature relation to calculate the radius of a red supergiant with temperature 3000 K (half the solar value) and total luminosity 20000 times that of the Sun in AU.
How many planets of our solar system would this star engulf?How many planets of our solar system would this star engulf?use the radiation flux equation it shows for a given temperature how much flux of energy(energy per unit of surface area) is emitted by a gas. Then from that equation find a sphere that has a surface area that in total has 20 000 solar luminosity. From the surface area given it is easy to find the radius by simple spherical geometry.
You basically just have to find that equation which should be in any elementary textbook or find it online and plug in your numbers.How many planets of our solar system would this star engulf?Luminosity is proportional to temperature to the 4th power times radius squared
20,000 = ((3,000/5,780)^4)(Radius)^2 where Radius is compared to the Sun
Radius^2 = 275,585
Radius = 525 Sun's radius which is 2.44 Astronomical Units. So Mercury, Venus, and Earth would be engulfed by this star.How many planets of our solar system would this star engulf?random guess... 9
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