2. Consider the planet found around Proxima Centauri that has been described as

Question

2. Consider the planet found around Proxima Centauri that has been described as near or in the "Habitable Zone". In the HZ, the temperature of the planet should allow for liquid water. For our purposes, let's say this means that the flux it receives is comparable to that received by Earth from the Sun. The Proxima Centauri planet has a period of 11.2 days, and Proxima Centauri has a mass of Mpc-0.1 2MO. (a) Compare the gravitational force that the PC planet feels to that felt by Earth? (b) If the flux received is in fact comparable to that on Earth, how must stellar luminosity scale with mass to reproduce this result? 29

Explanation / Answer

If you're looking for the starting point, use the full version of Kepler's third law instead of the short.

That is

T2M/r3 = const

relation between T1 & T2 and M1 & M2 is already given. Remaining r2 can be found out by taking r1 as 1 astronomical unit.
It is the distance between earth and sun and is taken as a constant.

Hope that helps

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