Iota Draconis is the eighth brightest star in the constellation Draco. Observations show that a planet, with an orbital period of 1.5 year, is orbiting this star. The mass of Iota Draconis is 1.05 Msun.
a) Compute the size of the semi major axis of this planet's orbit.
(in AU)
b) The radial speed of the star is observed to vary by 592 m/s. Use conservation of momentum to evaluate the mass of the planet. Suppose the orbit is circular, we are observing the orbit edge-on, and no other planets orbit Iota Draconis. Express the mass as a multiple of the mass of Jupiter.