You are an alien on an alien planet orbiting the planet's sun in a circular orbit. You want to find the mass of your sun. You determine the center-to-center distance between your planet and sun to be 6.75E+10 meters. The period of motion of your planet (the length of your year) is 1.21E+7 seconds. You know G=6.67*10^−11Nm2kg2 . What is the mass of your sun?

You are an alien on an alien planet orbiting the planet's sun in a circular orbit. You want to find the mass of your sun. You determine the center-to-center distance between your planet and sun to be 6.75E+10 meters. The period of motion of your planet (the length of your year) is 1.21E+7 seconds. You know G=6.67*10^−11Nm2kg2 . What is the mass of your sun?

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Two planets of equal mass orbit a much more massive star. Planet m 1 moves in a circular orbit of radius r 1 = 10^11 m with a period of 2 years (= 6.3 x 10^7 s). Planet m 2 moves in an elliptical orbit with its closes t distance r 1 and its farthest distance r 2 = 1.8 x 10^11 m. a. Find the period of m 2’s orbit. b. The elliptical orbit has greater energy. Which planet has the greater potential energy at point P? Justify. c. Which planet has the greater speed at point P? Justify. d. How does the speed of m 2 at point P compare with the speed at point A? Justify.
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