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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 an

*introductory*astronomy 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.