A neutron star is an astrophysical object having a mass of roughly 2.8 × 1030 kg...

A neutron star is an astrophysical object having a mass of roughly 2.8 × 10³⁰ kg (about 1.4 times the mass of the sun) but a radius of only about 12 km. If you were in a circular orbit of radius 320 km (about 200 mi), how long would it take you to go once around the star? Show all steps and give reasoning.

Solutions

Expert Solution

The gravitational acceleration towards the star is

where G is the gravitational constant, M is the mass of the neutron star, r is the radial distance from the center of the star. r = 320 km

This acceleration is balanced by the outwards centrifugal acceleration

where is the angular velocity of the circular orbit

Equating the two accelerations:

The time period of revolution around the star is

genius_generous answered 6 months ago

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