What analogy is used to illustrate the concept of a star being 'slingshotted' out of its gravitational system?

Answer

A cosmic billiards shot

To help visualize the chaotic and energetic nature of the three-body gravitational interaction that results in stellar ejection, a specific analogy is employed. The process is likened to a 'cosmic billiards shot.' In this scenario, one star receives sufficient energy during a close encounter with two other massive bodies (or a binary system interacting with a third object) that the energy transfer is precisely what is required to fling that participant clear of the local gravitational system, much like a cue ball striking another ball with just the right amount of force and angle to send it far away from the main cluster of balls on the table.

What analogy is used to illustrate the concept of a star being 'slingshotted' out of its gravitational system?

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