Satellite Orbits and Energy (Problem 45)

The Sun orbits the Milky Way galaxy once each $2.60\times {10}^8\text{years}$, with a roughly circular orbit averaging a radius of $3.00\times {10}^4$ light-years. (A light-year is the distance traveled by light in 1 year.) Calculate the centripetal acceleration of the Sun in its galactic orbit. Does your result support the contention that a nearly inertial frame of reference can be located at the Sun? (b) Calculate the average speed of the Sun in its galactic orbit. Does the answer surprise you? Select the answer to part (b).