emden equation meaning in Hindi

This relation need not be interpreted as an equation of state, although a gas following such an equation of state does produce a polytropic solution to the Lane Emden equation.
Rather, this is simply a relation that expresses an assumption about the change of pressure with radius in terms of the change of density with radius, yielding a solution to the Lane Emden equation.
In astrophysics, the "'Lane Emden equation "'is a dimensionless form of Poisson's equation for the gravitational potential of a Newtonian self-gravitating, spherically symmetric, polytropic fluid.
His investigations demonstrated the thermodynamic relations between pressure, temperature, and density of the gas within the Sun, and formed the foundation of what would in the future become the theory of stellar evolution ( see Lane-Emden equation ).
It turns out that the combination of the relativistic electron degeneracy pressure and the Lane Emden equation ( governing pressure-density relationships in gravitational objects ) predicts that for a finite mass the radius the white dwarf goes to zero, i . e . R ( M _ { Chandrasekhar } ) = 0.