Consider an imaginary planet in our solar system at an average distance of 25 AU from the Sun. (a) Calculate the orbital period of this planet. (b) This fictional planet has an orbital eccentricity of e = 0.4, calculate the planet’s distance to the Sun at aphelion and perihelion. (c) Another imaginary planet in our solar system has a perihelion distance of 12 AU from the Sun and an aphelion distance of 68 AU. Is the eccentricity of this new planet greater or less than the planet in the previous question?

Consider an imaginary planet in our solar system at an average distance of 25 AU from the Sun. (a) Calculate the orbital period of this planet. (b) This fictional planet has an orbital eccentricity of e = 0.4, calculate the planet’s distance to the Sun at aphelion and perihelion. (c) Another imaginary planet in our solar system has a perihelion distance of 12 AU from the Sun and an aphelion distance of 68 AU. Is the eccentricity of this new planet greater or less than the planet in the previous question?