Undergrad Combination sink/source in one object

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The discussion explores the concept of a phenomenon in physics where an object A is attracted to another object B from a distance but is repelled upon close approach. This behavior is noted in two-body problems with an attractive 1/r potential, influenced by the angular momentum barrier. The interaction resembles a switch where attraction is overpowered by repulsion at close range. Participants express a need for further research to understand the mechanics behind this phenomenon. The conversation highlights the complexities of forces in physics and their implications in specific scenarios.
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Is there any phenomenon (in physics: no wisecracks about human interactions ) in which A is attracted from further out to B until it gets close to B, whereupon A is repelled from B? (Sort of the opposite to the switch between the electromagnetic repulsion being overpowered by the strong force in tunneling.)?
 
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The effective potential of any two-body problem in an attractive 1/r potential will display this behavior due to the angular momentum barrier.
 
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Thank you, Orodruin. I will have to do a bit of research to find out precisely how this works, but you have put me on the right path.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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