An exoplanet of mass = 5 times the mass of Jupiter and 3 Jupiter radii orbits a star identical to the sun at a distance of 3 AU from the star. Assuming the a circular orbit:
a) estimate the period of the orbit
b) estimate the orbital velocities of the star and the planet
c) estimate the depth of an eclipse cause by this planet as a percentage decrease in the light from the star (assume that the distance to the star is >> radius of the orbit of the planet around the star).