A Peculiar Acceleration - Understanding an Equation

[Arman777]

I was reading an article and I saw this expression,

I don't understand how the $r_s^2$ in the denominator (in Eq.$10$), becomes the numerator in the Eq.$11$ ?

Article is here: https://arxiv.org/abs/0708.1132

 

[PeroK]

You can work out what's happened by comparing terms. $G$ in equation (10) has been replaced by some largely numerical expression times $r_s^4$.

 

[Bandersnatch]

It's a typo. Should be -2 in the exponent. See the same paper here:
https://www.sciencedirect.com/science/article/pii/S0370269307014992?via=ihub

 

[Arman777]

It's a typo. Should be -2 in the exponent. See the same paper here:
https://www.sciencedirect.com/science/article/pii/S0370269307014992?via=ihub

That makes more sense, thanks.