Check my wo 2 The Doppler method for finding planets can be used to see how fast the Sun moves in response to a planet orbiting it. a. Using Kepler's third law (PL = as, with Pin years and a in AU), find the period of the orbit and its circumference if the semimajor axis is 0.056 AU, 0.56 AU, and 5.6 AU. 10 points b. Calculate how fast a planet would be orbiting the Sun at each of these three distances. c. The Sun also "orbits" the point of balance between the Sun and the planet (although this point may be inside the Sun). According to Newton's third law, the Sun's speed around this point must be smaller than an orbiting planet's in proportion to the ratio of their eBook masses. What is the Sun's speed in each case above if the orbiting planet has Jupiter's mass? (Mass of Jupiter = 1.90 x 102 kg) What is the Sun's speed in each case above if the orbiting planet has the Earth's mass? (Mass of the Earth = 5.974 x 1024 kg) Hint a. When the semimajor axis is 0.056 AU, the period of the orbit is found to be 2 years. When the semimajor axis is 0.056 AU, the circumference of the orbit is found to be AU. When the semimajor axis is 0.56 AU, the period of the orbit is found to be[ years. References When the semimajor axis is 0.56 AU, the circumference of the orbit is found to be AU. When the semimajor axis is 5.6 AU, the period of the orbit is found to be years When the semimajor axis is 5.6 AU, the circumference of the orbit is found to be JAU. b. When the semimajor axis is 0.056 AU, the speed is found to be 7m/s. When the semimajor axis is 0.56 AU, the speed is found to bem/s. When the semimajor axis is 5.6 AU, the speed is found to be m/s. c. For Jupiter When the semimajor axis is 0.056 AU, the Sun's speed is m/s. When the semimajor axis is 0.56 AU, the Sun's speed is 1m/s When the semimajor axis is 5.6 AU, the Sun's speed is 7m/s. For Earth When the semimajor axis is 0.056 AU, the Sun's speed is 1m/s. When the semimajor axis is 0.56 AU, the Sun's speed is [ m/s. When the semimajor axis is 5.6 AU, the Sun's speed is 7m/s