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Just a quick question, since google failed me, I am doing a project in quantum chemistry, but since for some reason we don't study classical mechanics in the chemistry course around here I am at a loss atm.
What I am wondering is, How is the centrifugal repulsion defined in terms of the impact parameter?
(I need it in order to determine the classical turning point for a particle)
Asked here because a lot of the people on this forum are in higher education.
And finally, if you for whatever reason is more likely to answer me if you got a better description of the project just say so.
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i don't know the answer but I might try to calculate it for you? can you define the terms? what is centrifugal repulsion and what is impact parameter?
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Thanks but I don't want a specific answer, but more along the lines of "kinetic energy = one over two times mass times velocity squared"
And I am unsure of the physical implication of centrifugal repulsion maybe something along the lines of the force that prevents a comet from hitting the sun?
The impact parameter is the perpendicular distance between the paralell axises (sp.. :S) of approach between two objects.
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okay so comet is spinning around the sun, it has a centripetal force by gravity that makes it turns angles. But you go "yeah but the gravity, won't it pull the object INTO the sun?" and a wrong, maybe, by my understanding, answer would be: "Oh yeah there's this magical force that's the centrifugal repulsion force that counteracts the centripetal force so the comet doesn't fly into the sun"
while this answer isn't true (imagine if there is another force acting on it the comet would have 0 net force and fly straight), I imagine it has some make belief values, so I guess the thing ur looking for is something like, the closer the two objects are (maybee that's what it means by "impact parameter"), the larger the repulsion force (since it needs to conteract the larger gravity attraction)
does that do? lol
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I did read it in my search for a definition :p (If you didn't understand my explanation of impact parameter and you are intrested just search for it on wiki, they are good at explaining things.)
Anyway I managed to get hold of a proff and if I understood him correctly centrifugal repulsion is defined as
= L**2 / (2*u*r**2) where L is the angular momentum (defined as L = u * v * b) u is the reduced mass, r is the distance between objects, v is velocity and b the impact parameter.
That makes sense also because that would make centrifugal repulsion = V**2*b**2*u/2*r*2 which would make the unit velocity squared times mass which is energy.
And yeah more or less that stuff about comets I think, I mean foramlly the reaason it doesn't fly into the sun is the conservation of angular momentum, ( L in my equation) and it sounds plausible that that is due to centrifugal repulsion.
Thanks again for checking it out.
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haha k, this is rather beyond me at the moment, too much things I don't know. Srry i didn't help all that much
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United States24481 Posts
Ahhh you posted this while I was asleep but congrats on your answer :p
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