How does gravity sling off objects if it is a force of attraction between two bodies with mass

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We often here of star systems loosing a planet or objects (satellites) getting accelerated away from a huge source of gravity (huge mass).

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imagine a comet in near escape orbit around the sun. As it passes by a planet on its way from the sun it starts to accelerate a little bit away from the sun and towards the planet. Because it’s going so fast it’s still in escape velocity relative to the planet. If you obervered the comet from the prospective of the planet it has no extra energy (potential + kenetic) it merely changed trajectory direction. But relative to the sun it is now on an escape trajectory as its going more directly out compared to more side ways path before hand.

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