Essay
Interplanetary spaceships can be sent to distant parts of the solar system by means of the "gravitational slingshot" method. The spaceship makes a brief close encounter with a massive planet and is flung away in a different direction of travel. Assuming the approach and post-encounter directions of the spaceship, as seen from the planet, are opposite to each other, describe how the spaceship may increase its overall velocity relative to the Sun.
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