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eckerm
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Homework Statement
Consider a rapidly rotating asteroid with an albedo (reflectivity) averaged over the solar spectrum of 0.05 that orbits around a 3 solar mass star that has the same surface temperature as the Sun. The asteroid’s orbit has a semi-major axis of 15 AU. What is its equilibrium temperature? Consider a similar asteroid that does not rotate. What would the average temperature be on its star-ward side?
Homework Equations
T4=(L(1-A))/(16*pi*sigma*D2)
L/Lsun=1.5*(M/Msun)3.5
The Attempt at a Solution
I plugged the mass into the second equation and got that the luminosity of the star in the problem is 70.15 solar luminosities. If I assume the semi-major axis is the average distance from the star, plugging all those numbers into the first equation gives a temperature of 205.48 K. I don't know which temperature this gives me, though, the spinning or stationary. And whichever it gives me, I'm not sure how I should go about finding the other.