Large stars can explode as they finish burning their nuclear fuel, causing supernovae. The explosion blows away the outer layers of the star. According to Newton's third law, the forces that push the outer layers away have reaction forces that are inwardly directed on the core of the star. These forces compress the core and can cause the core to undergo gravitational collapse. The gravitational forces keep pulling all the matter together tighter and tighter, crushing atoms out of existence. Under these extreme conditions, protons and electrons can be squeezed together to form neutrons. If the collapse is halted when the neutrons all come into contact with each other, the result is an object called a neutron star, an entire star consisting of solid nuclear matter. Many neutron stars rotate about their axis with a period of ~1 second and, as they do so, send out pulses of electromagnetic waves once per second. These stars were discovered in the 1960s and are called pulsars.
Part D
How many revolutions per minute are made by a satellite orbiting 1.0 km above the surface? Express your answer in revolutions per minute.
Part E
What is the radius of the geosynchronous orbit about the neutron star? Express your answer to three significant figures and include the appropriate units.