I've been using these forums for awhile but this is my first post. So thanks in advance for taking the time to consider this problem. It is much appreciated.(adsbygoogle = window.adsbygoogle || []).push({});

The question is: How does surface gravity vary as a function of luminosity along the main sequence?

By surface gravity, I'm sure the question is asking for [itex]g=\frac{G M}{R^2}[/itex]. Knowing that luminosity is [itex]L=4 \pi R^2\sigma _{\text{SB}} T^4[/itex]. I've solved for R in the luminosity equation and obtained [itex]g=\frac{4 \pi G M T^4 \sigma _{\text{SB}}}{L}[/itex], but I'm pretty sure the problem is supposed to be harder than this. It's obvious (according to this relationship that's probably wrong) that if luminosity increases, then the surface gravity becomes weaker. So am I looking at this problem too simplistically?

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# Surface gravity as a function of luminosity?

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