Solve the all parts of following question given below:
Question: A comet has a period of 200 years and perihelion distance of 1 AU.
Part I: What is the semi-major axis of its orbit?
Part II: What is the comet aphelion distance?
Part III: What is its speed at 1 AU? How does this speed compare to the escape speed of an object 1 AU from the Sun.
Part IV: What is its speed at aphelion? How does this speed compare to the escape speed of an object the same distance from the Sun.
Please show work on how to solve above questions!