NASA sends the spacecraft Hawk interior to the orbit of Mercury to observe the sun. The crew maneuvers it so it orbits the Sun on a circular orbit with a semi-major axis of 0.25 AU. a) How much larger does the Sun look in the sky. b) How much brighter is the Sun? How much more energy can the Hawk solar panels produce? c) The Sun's gravity causes the Hawk to accelerate toward it. Is this this acceleration greater than or less than the acceleration of the Earth toward the Sun? d) By how much?Mission control in Houston wishes to communicate with the crew of the Falcon using radio waves, which travel at the speed of light. For this question, it is helpful to draw a picture. e) What is the shortest possible time it takes to send and receive a message. Give your answer to the nearest minute. f) What is the longest possible time? Give your answer to the nearest minute. g) Suppose the Hawk is sending radio waves to Earth throughout its orbit. Are these waves always blue-shifted, always red-shifted, or sometimes red- and sometimes blue-shifted? Why