Consider Pluto (mp = 3.10-6 Mo) on its 2-D motion around the Sun (assumed to be fixed) using Newton's universal law of gravitation, Fg = 4n²mp/r², and Newton's 2. law of motion, in astronomical units (1AU, ly, Mo). Use an orbit eccentricity of 0.25 and a semi-major axis of 40 AU. (a) With the Sun located in a focal point of the elliptic orbit, use Kepler's laws and the elliptic orbit formula to calculate analytically the perihelion, aphelion, the 2 pertinent speeds and the period of Pluto's motion.

Consider Pluto (mp = 3.10-6 Mo) on its 2-D motion around the Sun (assumed to be fixed) using Newton's universal law of gravitation, Fg = 4n²mp/r², and Newton's 2. law of motion, in astronomical units (1AU, ly, Mo). Use an orbit eccentricity of 0.25 and a semi-major axis of 40 AU. (a) With the Sun located in a focal point of the elliptic orbit, use Kepler's laws and the elliptic orbit formula to calculate analytically the perihelion, aphelion, the 2 pertinent speeds and the period of Pluto's motion.