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Neutron Stars:

For neutron stars, pressure is an elastic property, density is an inertial property.

[tex]\rho_n = 2.294*10^{17} kg*m^{-3}[/tex] - Neutronium Density

Radial solution for spherically symmetric 1 solar mass pure Neutronium Neutron Star:

[tex]r_n = \sqrt[3]{\frac{3M_\odot}{4 \pi \rho_n}}[/tex]

Neutron Star Gravitational Pressure:

[tex]P_g = \frac{3GM_\odot^2}{16 \pi r_n^4}[/tex]

[tex]v_s = \sqrt{ \frac{P_g}{\rho_n}}[/tex] - acoustical velocity

Acoustical velocity solution for spherically symmetric 1 solar mass pure Neutronium Neutron Star:

[tex]v_s = \sqrt{ \frac{3GM_\odot^2}{16 \pi \rho_n r_n^4}} = \frac{M_\odot}{4 r_n^2} \sqrt{\frac{3G}{\pi \rho_n}}[/tex]

[tex]v_s = \sqrt{G} \sqrt[3]{ \frac{M_\odot}{4}} \sqrt[6]{ \frac{ \pi \rho_n}{3}}[/tex]

Based upon the Orion1 equasion, what is the velocity of sound through a pure Neutronium Neutron Star?

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# Neutral Neutronium

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