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I have been given data for the Coma and S639 clusters, including their velocity distances. For part a I calibrated the fundamental plane using the Coma data, and got:

log(R

I am now supposed to use the S639 data along with the above fit to get a distance to S639. I think that this is related to the difference in zero points for the two clusters. My zero point for S639 is -.137, which is a difference of .122 in log(R

When I read papers in which they do this, they jump from saying "our zero points were x and y" to "this gave us a relative distance of z." Apparently it's fundamental enough that I should know it.

I realize <I> is given in units of L

I also know that R

I have tried to make so many things work and failed, I'm not sure what values are important to me anymore. I just have a bunch of

log(R

_{e}) = 1.24log([tex]\sigma[/tex]) - .82log<I> - .259I am now supposed to use the S639 data along with the above fit to get a distance to S639. I think that this is related to the difference in zero points for the two clusters. My zero point for S639 is -.137, which is a difference of .122 in log(R

_{e}). I feel like there's some big thing that I'm missing that would make this a lot easier. I've done this type of problem before with the Tully-Fisher relation, which was easy enough, because M_{1}- M_{2}= -5log(d_{1}/d_{2}).When I read papers in which they do this, they jump from saying "our zero points were x and y" to "this gave us a relative distance of z." Apparently it's fundamental enough that I should know it.

I realize <I> is given in units of L

_{solar}pc^{-2}, so I feel like that may help.I also know that R

_{e}=10^{1.24log([tex]\sigma[/tex])-.82log<I>+ZP}, which I can see helping.I have tried to make so many things work and failed, I'm not sure what values are important to me anymore. I just have a bunch of

*stuff*and I don't know what to do with it.
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