Question

Derive Kepler's 2^nd law from conservation of angular momentum Derive Kepler's 3^rd law from Newton's laws of motion and gravitation for a circular tool You have landed a job with Space X as a space physicist. Your first job is to launch a satellite. The plan is to lift off from the surface of the Earth and then insert the satellite into an elliptical transfer orbit with its perigee at A and apogee at A'. The spacecraft will be unpowered as it moves between A to A'. At A' a rocket will be fired to increase the speed of the satellite to insert it into a circular orbit around the Earth. Find the change in velocity required at A' knowing that the altitude of the spacecraft at A = 500km. As our Sun ages, it will go through a period of collapse. If we take the maximum possible density of any material in the universe to be that of neutron stars which have densities around 10^23kg/m^3, is it possible that our sun could collapse to form a black hole? What is the minimum mass of an object that could potentially form a black hole if it collapses to have the same density as a neutron star? (express your answer as a multiple of the solar mass)

Answer 1

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