Given that Earth orbits the Sun with a semimajor axis of 1.000 AU and an approximate orbital period of 365.24 days, determine the mass of the Sun. (1 AU = 1.496 ✕ 1011 m)

Answer 1

G = 6.674*10^-11

F =G m M/r^2 = m v^2/r

G M= v^2 r

M = v^2 r/G

but v = 2 pi r/(365.24*24*3600)