Question

Assume that small planetesimals in a young solar system are roughly spherical and rotating quickly. Balance the flux from the star with the radiated flux from the planetesimals full surface area to determine where (in astronomical units) the frost line (T=150K) occurs for each of the stars below. Also calculate in AU where the center of their habitable zone is located (T~270 K). This will be similar to the derivations on week 1 slides 45 to 51 for rapidly rotating objects using the stellar luminosity. M-4 star with 0.2 solar masses (not relevant) and 0.005 solar luminosity? G-2 star like the sun (1 solar mass and 1 solar luminosity)? B-7 star with 4.5 solar masses and 140 solar luminosities?

Answer 1