Astronomers presume that there are "rogue" planets traveling the galaxy. These planets would have been flung free from their stars by an interaction early in the evolution of their solar system.
A. Imagine that one such planet had a mass of 5.98 x 10^24 kg and originally was circularly orbiting a star of mass 1.99 x 10^30 kg once every 365 days at a distance of 1.49 x 10^11 m. With what speed was the planet moving around its star?
B. What total energy does the planet-star system have initially?
C. What minimum work would need to be done on this system to move the planet from its circular orbit to its rogue status very far away from its solar system? Justify the answer.