Each is worth 8 points. Carbon slowly grows over time while the outer layers of the star expand. Explain why the inner core, in which no fusion occurs, doesn't collapse under the force of its own gravity. Assuming we know the orbital distance from the central star to the companion star via other means and that we can measure the period of the orbit from the light curve, explain how we can find the orbital velocity of the companion star.
Star Delta is twice the size of our Sun and half the temperature.
Be sure to show your work on this problem if you wish to possibly receive partial credit for an incorrect answer. As a star ends its main-sequence lifetime, it expands to hundreds of times its original size and the surface temperature drops considerably. A crucial factor in directly detecting extrasolar planets is resolving the angular separation between the planets and the stars they re orbiting and then actually trying to see the planet in the glare of the bright star. You may wish to use a graph or a diagram to help answer this question. The apparent distribution of stars is not uniform for some reason, as shown in the diagram below.