The perihelion and aphelion of the asteroid Apollo are \(0.964 \times 10^{8} \mathrm{~km}\) and \(3.473 \times 10^{8} \mathrm{~km}\) from the sun, respectively. Apollo therefore swings in and out through Earth's orbit. Find

(a) the semi-major axis

(b) the period of Apollo's orbit in years, given earth's semimajor axis \(a_{E}=149.6 \times 10^{6} \mathrm{~km}\). (Apollo is only one of many "Apollo asteroids" that cross earth's orbit. Some have struck the earth in the past, and others will strike in the future unless we find a way to prevent it.)