Question

(Related to Astrophysics)

Enumerate the equations and boundary conditions needed to construct a stellar model.

Answer 1

Assuming hydrostatic and thermal equilibrium, To create a stellar model, we need to solve a set of four differential equations. To do this, we need four boundary conditions.

Four Differential equations are -

The mass conservation  

Hydrostatic equation

Energy equation   

Heat transfer method

For radiative energy transport

For convective energy transport.  

For simplicity, we choose “zero” conditions which are r = L = 0 at the center (M = 0),

and ρ = T = 0 at the surface ( place where optical depth =1 and M = M_T).