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## Main Question or Discussion Point

I am trying to estimate the distance of closest galaxy neighbor knowing the expression of number of neighbors into a volume ##\text{d}V##, the mean density ##n_\text{gal}## and the correlation function, i.e with this expression :

##\text{d}N=n_{\text{gal}}\,\text{d}V\,(1+\xi(r))##

with ##\xi(r)=\bigg(\dfrac{r}{r_{0}}\bigg)^{-\gamma}\quad\text{with}\quad\gamma\,\sim\,1.77 \quad\text{and}\,r_{0}\,\sim\,5\,\text{Mpc}##.

I take into my calculation the following value for ##n_{\text{gal}}=0.0420\,\text{h}^{-3}\,\text{Mpc}^{-3}##

How could I infer the distance of the closest galaxy from us ?

Regards

##\text{d}N=n_{\text{gal}}\,\text{d}V\,(1+\xi(r))##

with ##\xi(r)=\bigg(\dfrac{r}{r_{0}}\bigg)^{-\gamma}\quad\text{with}\quad\gamma\,\sim\,1.77 \quad\text{and}\,r_{0}\,\sim\,5\,\text{Mpc}##.

I take into my calculation the following value for ##n_{\text{gal}}=0.0420\,\text{h}^{-3}\,\text{Mpc}^{-3}##

How could I infer the distance of the closest galaxy from us ?

Regards

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