Stellar energy balance equation (source code)

= Stellar energy balance equation
{title2=$\partial L/\partial m=\epsilon_{\rm nuc}-\epsilon_\nu-Du/Dt-PD(1/\rho)/Dt$}

For a slowly evolving spherical star, the Lagrangian energy equation separates nuclear rest-mass release, <stellar neutrino energy loss>, thermal storage and pressure-volume work. Specific internal energy and nuclear energy conventions must avoid counting nuclear mass changes or escaping reaction-neutrino energy twice. At fixed composition the <gravothermal stellar energy generation> is $-TDS/Dt$. Energy transport processes redistribute heat rather than creating it.