[4] Use Kepler’s first law to derive explicit expressions for the perihelion and aphelion distances for a planet in terms of the semi-major axis a, and the eccentricity e, for an elliptical orbit. Calculate these distances for Mercury.
(b) [4] What are the perihelion and aphelion speeds of Mercury?
(c) [4] Calculate the maximum angular separation of Mercury as seen from Earth. (d) [4] What is the angular size of Mercury in arcseconds when it is at this location?
