1. Extrasolar Planets. In this problem we will do some calculations for an extrasolar planet, based on real data from both the Doppler shift and transit methods. To be able to use both, this means the orbit is edge on, at least to a very good approximation, and so the planet mass calculated by the Doppler shift method is close to the true mass. Use the top curve in the transit data figure below right-ignore the bottom curve. The parent star is of spectral class K-an orange-ish star slightly cooler than the Sun, and has mass 0.87 Mo and radius 0.83 R. The period of orbit (measured by both methods) is 3.03 d. 200 1.000 0.995- 100 0.990 Relative Flux Radial Velocity (m/s) 0 0.985 -100 0.980 0.975 -200 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 -0.10 -0.05 0.00 0.05 0.10 Phase Time from Transit Center (days)