A comet grazes a planet at a distance R. Show that the planet's tidal force can disrupt the comet is the planet's mean density is greater than that of the comet.(adsbygoogle = window.adsbygoogle || []).push({});

P--------R-------C

F=-GMm/r^{2}

Now my TA advises me to expand this function about r=R using a taylor series. But c'mon, this is anintroductoryastronomy class. We're not supposed to know Taylor series!

But even if I do, I get:

F_g=-GMm/R^{2}+2GMm/R^{3}(dr)

dr=dist from center of comet

m=mass of comet

M=mass of planet

/\

|____ Is this even right?

Then I show that F_t>F_sg

where F_t=?

F_sg=self gravity=?

I'm so utterly confused.

Please feel free to include a lecture on tidal forces and taylor series! Whatever help you can give would be great!

Thanks.

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# Tidal Disruption

Can you offer guidance or do you also need help?

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