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{title2=$\Gamma_i$}

The stellar adiabatic exponents describe pressure and temperature responses to an isentropic density change:
$$
\Gamma_1=\left(\frac{\partial\log P}{\partial\log\rho}\right)_s,
\qquad
\Gamma_3-1=\left(\frac{\partial\log T}{\partial\log\rho}\right)_s,
\qquad
\frac{\Gamma_2}{\Gamma_2-1}
=\left(\frac{\partial\log P}{\partial\log T}\right)_s.
$$


Stellar adiabatic exponent

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 317 / 3 / ii / Solution

Stellar adiabatic exponent ( $Γ_{i}$ )

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Stellar adiabatic exponent (Γi​)

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