Question

See problem 52 in Chapter 13 of the 3rd Edition of Knight for some background information about neutron stars. Consider a neutron star with a mass equal to 0.9 times the mass of the Sun, a radius of 15 km, and a rotation period of 1.3 s. What is the speed of a point on the equator of this neutron star? What is gg at the surface of this neutron star? A stationary 1.0 kg mass has a weight of 9.8 N on Earth. What would be its weight on the neutron star?  How many revolutions per second are made by a satellite orbiting 1.0 km above the surface?

Answer 1

i)Speed of a point on the equation of neutron star is

ii)Acceleration due to gravity at the surface of this neutron star is

Weight of object of mass on surafce of earth is

iii) Weight of object of mass on surface of neutron star is

The satellite is orbiting at 1 km above the surface of neutron star,

Speed of satellite is

iv) Number of revolutions per second made by the satellite are