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A gravity assist has been used by the NASA spacecraft Voyager 1 and Voyager 2 to get out to the outer parts of the

 

A gravity assist has been used by the NASA spacecraft Voyager 1 and Voyager 2 to get out to the outer parts of the solar system (and beyond). The maneuver was also used by fictional spacecraft like the Hermes in the movie (and book) The Martian. 4 In this example, let's say the NASA spacecraft Voyager 2 performs a "gravity slingshot" around the planet Jupiter. Voyager 2 has a mass m and initial speed v= 12.3 km/s relative to the Sun. Jupiter has a mass M and speed Vj = 13.0 km/s relative to the sun, as shown in the figure below. The spacecraft rounds the planet and departs in the opposite direction. What is the speed of Voyager 2, relative to the Sun, after this slingshot encounter?

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