A SOI, Sphere Of Influence if i'm right
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Sphere Of Influence (SOI).
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hill sphere?
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atmosphere
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Thé Sphere Of Influence (SOI)

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The universe, if you count it precise enough
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I do not understand the so called slingshot effect. Obviously a spacecrafts direction can be changed by using gravity, but what speed it gains while approaching a planet will be lost again flying away from it. A gravityfield is a ‘conservative’ field.
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What matter is the redirection of the speed Vector, going from a RadialOut to a FullPrograde in the Solar referiential, for instance. This way you improve your heliocentric trajectory, raising tour Ap way higher which is good for external solar system targets.
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Gravity well?
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