laam said:have solved the lane - emden eqn numerically for scaled radius, and the derivative of scaled pressure with respect of scaled radius, are given the eqn of state, n, and mass, how would i go about working out the central density and the radius?
thanks
A white dwarf is a type of star that has exhausted all of its nuclear fuel and collapsed under its own gravity. It is composed of degenerate matter, which means the electrons in the star's core are packed so tightly that they are unable to occupy the same energy states, resulting in a compact and incredibly dense object.
A white dwarf is formed when a star with a mass less than about 8 times that of our sun runs out of nuclear fuel. As the star's core collapses, the outer layers are expelled in a planetary nebula, leaving behind the hot and dense core, which is the white dwarf.
Astro-modelling is the process of using mathematical and computational models to simulate and study astronomical objects and phenomena. This allows scientists to better understand the physical processes and properties of these objects and make predictions about their behavior.
A polytrope is a mathematical model used to describe the internal structure of a star. It assumes that the star's density is a function of its pressure, and allows scientists to study how changes in pressure and temperature affect the star's structure and evolution.
Astro-modelling a white dwarf via polytrope allows scientists to simulate and study the internal structure and evolution of these objects. By changing the parameters in the model, scientists can see how different factors, such as mass and temperature, affect the white dwarf's behavior. This can provide valuable insights into the properties and behavior of white dwarfs in the universe.