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Unformatted text preview: M 1 M and R = 10 km. Comment on the possibility of the existence of an atmosphere around a neutron star. 3. (a) Consider a polytropic gas of polytropic index n = 0 in hydrostatic equilibrium with its own gravitational mass, P ( r ) = K ( r ) , = 1+1 /n . Show that a solution of the Lane-Emden equation is given by the function ( x ) ( x ) = 1-x 2 6 with the boundaries conditions (0) = 1, d/dx | = 0. (b) Find the distribution of the normalized density and pressure as function of the dimensionless variable x , ( x ) / and P ( x ) /P , and plot them as function of x ....
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This note was uploaded on 07/22/2011 for the course AST 371 taught by Professor Bonamente during the Fall '09 term at University of Alabama - Huntsville.
- Fall '09