-A3, assume that GH 4390 is similar in mass to our Sun. A1. Use Kepler's Third Law to determine the mean distance between the planet and star for GH 4390. Is the planet's orbit smaller or larger than Earth's orbit around the Sun? Show your work. (Hint: make sure you use the right units.] (3 pts) A2. Calculate the maximum velocity, in m/s, of the planet around GH 4390 using the equation for "planet velocity" in the lab introduction. You will need to convert the distance and period into the correct units (meters and seconds) before using this equation. (2 pts) A3. Use the result in (A2) and the graph you made for GH 4390 to determine the mass of the planet orbiting GH 4390 (recall that GH 4390 itself has a mass of 1 Msun). Use the equation for "planet mass" in the Lab Introduction; it is fine to leave the planet mass in units of solar mass. Remember to show your work and/or explain your reasoning. Is the planet more similar in mass to Jupiter (0.1% of the Sun's mass), Neptune (0.005% of the Sun's mass) or Earth (0.0003% of the Sun's mass)? (3 pts) A4. Let's say that you have detected a planet using the radial velocity method. Would it be helpful to also obtain measurements of the planet transit (like in last week's lab), in order to measure the properties of the planet? If so, what additional properties could you learn about? If transit data would not be useful, explain why you could not learn anything new. (3 pts) Note: The orbital periods for Earth, Jupiter, and Neptune are 1 year, 11.86 years, and 164.79 years, respectively.