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I learned that in the first month of high school physics. The length and scientific precision of this article suggests the veracity of this falsehood. This article should explain where the misconception comes from, why it is incorrect, and then point readers to the centripetal force page.
Centrifugal repulsion exists radially between any two objects that possess mutual tangential motion. That is an indisputable fact. It manifests itself if we try to restrain it. Maxwell used centrifugal force in the hydrodynamics of part I of his 1861 paper 'On Physical Lines of Force' in order to account for electromagnetic and ferromagnetic repulsion. He also used it to account for diamagnetic attraction and repulsion in what was effectively the Archimedes' Principle of magnetism.
I was also taught at university that centrifugal force does not exist. This false teaching is based on the simplistic argument that when we release an object that is being constrained to move in a circle, it will fly off at a tangent and not radially. In actual fact, it flies off both tangentially and radially. There can be no doubt that centrifugal force is a very real force but that it has been dropped out of modern physics. The Coriolis Force is also a real force that manifests itself in electromagnetism as F = qvXB. David Tombe 4th February 2007 ( 210.213.226.9 20:40, 3 February 2007 (UTC))
If you don't mind, can I just quote you here. You say,
If the centrifugal force was real, it would not cause the object to travel in a radial path. It would in fact make the object travel in a radial path.
I agree that if the centrifugal force is real, it would cause the object to travel in a radial path. So I don't know what your quote means. Can you please clarify? It also seems that you can't see centrifugal force outside of the limited context of circular motion. David Tombe 12th February 2007 ( 222.126.33.122 13:32, 12 February 2007 (UTC))
The reason that I deleted your insertion
"It should be noted however that when proposing this 'hydrodynamic' description (that was built upon in work published in the seminal papers 'On Faraday's Lines of Force' and 'On Physical Lines of Force') Maxwell was not intending the fluid to be thought of as real: [1] -
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- It is not even a hypothetical fluid which is introduced to explain actual - phenomena. It is merely a collection of imaginary properties which may be - employed for establishing certain theorems in pure mathematics in a way - more intelligible to many minds and more applicable to physical problems - than that in which algebraic symbols alone are used.
-
"
was because the web link for Maxwell's 1861 paper 'On Physical Lines of Force' was made available for anybody to read. Anybody reading part I of this paper would know that Maxwell believed absolutely in the reality of the fluid aethereal medium. To say otherwise is a total misrepresentation of the truth. You then finished with a quote but didn't tell us who made the quote.
Maxwell was quite clear on the fact that a sea of aethereal vortices exists and that these vortices must be surrounded by electrical particles. If these vortices aren't real, and yet they explain the mechanics of magnetism, then what are they? Why would they be any less real than the elements of the periodic table? David Tombe 7th February 2007 ( 202.69.162.228 18:34, 7 February 2007 (UTC))
Maxwell's 1861 paper is highly relevant regarding the topic of centrifugal force. The original archive paper has been provided in the form of a pdf web link. The paper consists of four parts. Part I is the relevant hydrodynamical part.
Maxwell operates on the basis that space is pervaded by a sea of tiny aethereal whirlpools. Maxwell does the mathematics for such a sea of whirlpools, and at equation (5) he arrives at an expression for some of the important aspects of magnetism. Central to this hydrodynamical analysis is the fact that centrifugal repulsion force acts between spinning objects.
Anybody who has ever studied polar coordinates, knows that any two objects with a mutual tangential velocity will have a mutual radial repulsion which takes on the mathematical form of the centrifugal force. Maxwell uses this concept to show that ferromagnetic repulsion, electromagnetic repulsion, as well as diamagnetic repulsion and paramagnetic attraction can all be explained by focused centrifugal force in the equatorial plane of his sea of whirlpools.
Unless you are a logical positivist, this ought to be conclusive evidence that centrifugal force is real and that the sea of aethereal vortices is also real.
The 1861 paper is there to be read by anybody who can then make up their own mind.
The reason that I deleted the extra insertion was because whoever made the insertion made it look as if it was part of the original article, and it had the effect of undoing the point. Whoever made that insertion was trying to have us all believe that Maxwell did not actually believe that the sea of whirlpools was real. The insertion was completely untrue and the matter can be easily checked out simply by reading the preamble of part I of Maxwell's 1861 paper. Had the person making the insertion simply stated that they themselves didn't consider Maxwell's sea of vortices to be real then that would have been a different matter. But they tried to put across the idea that Maxwell didn't believe it.
Maxwell did believe it and he went to considerable pains to give a mechanical explanation of magnetism using the concept.
But the key point as regards the principle topic 'Centrifugal Force' is that centrifugal force can explain magnetic repulsion. That is an indisputable fact. David Tombe 8th February 2007 ( 202.69.162.228 05:43, 8 February 2007 (UTC))
It doesn't surprise me that the quote was actually from the 1855 paper "On Faraday's Lines of Force". In the 1861 paper "On Physical lines of Force", Maxwell does indeed refer to this 1855 paper and the fact that the mechanical illustrations in it were designed to assist the imagination and not to accont for phenomena. He immediately goes on to say that he now proposes to examine magnetism from a mechanical point of view.
So what you have done is to take a quote from an 1855 paper about an imaginary phenomenon, and apply that quote as if it were referring to a real phenomenon in another 1861 paper. You basically tried to undermine the reality of centrifugal force in Maxwell's 1861 paper by using an 1855 quote totally out of context.
On your other point, it's true that Maxwell didn't continue with the vortex sea in his later papers. That doesn't mean that he had dropped the idea. He actually gives his reasons towards the end of the 1861 paper, and those reasons were to do with the fact that he couldn't get a focused picture of how the idle wheels would actually relate to the vortices. He made it clear that his proposition was not the focused picture, but that it was almost certainly heading in the dircetion of the focused picture.
In his 1864 paper, he began to concentrate exclusively on a dynamical approach and he avoided any mention of the vortex sea. He did nevertheless state his unequivocal belief that a dielectric medium existed for the purposes of electric and magnetic phenomena, and he held this belief until his death.
We shouldn't discount the hydrodynamics used by Maxwell in his 1861 paper, and which involved centrifugal force and also lead to the Coriolis force, simply on the grounds of a quote about another matter in an 1855 paper, or because Maxwell didn't progress with his vortex cell model. 2/13/07 ( 203.115.188.254 10:57, 13 February 2007 (UTC))
Regarding: "If these vortices aren't real, and yet they explain the mechanics of magnetism, then what are they? Why would they be any less real than the elements of the periodic table?", that is an interesting point. The atomic model of a nucleus and electron shells, which the gives the arrangement of the periodic table it's logic, is just a model which fits the observables. One shouldn't really think of a particle orbiting a center - except that it's a handy tool for describing the situation (just as Maxwell's vortices). The reality of actually what these things are is not necessarily the same as the model used to describe them.
I still think all this Maxwell stuff is an interesting afterthought on the topic of Centrifugal Force, it really should be relegated to the bottom of the article - most people will be looking for other information on this page.
Richard Allen 128.40.74.62 13:29, 9 February 2007 (UTC)
I would have no objections to it being relegated to further down the article. But there is a group of people who are dedicated to this article and who have been insisting on deleting it completely. It's like as if there exists a fictititious brigade that wants to view everything as being fictitious. They would rather talk about artificial circular motion in a rotating frame of reference and the accompanying fictitious centripetal, fictitious centrifugal and fictitious Coriolis forces, rather than talk about situations in which centrifugal force is very real.
You mentioned that even the orbital model of atoms does not necessarily represent reality. Maybe it is not an exact picture. Maxwell acknowledged that his vortex cells were almost certainly not an exact picture. But anybody who reads his 1861 paper would know that there must exist something that is roughly in that likeness. It is too extreme an option to merely abandon it and replace it with pure vacuum. We have clear evidence for swirling dynamical space and not only for real centifugal force, but also for real Coriolis force.
Some of you even believed that my name was fictitious. It's time that alot of you snapped out of this unhealthy cult of fictitiousism. So this time, I'll sign out as a fictitious anon. 2/13/07 ( 203.115.188.254 11:19, 13 February 2007 (UTC))
Every fictitious centrifugal force as viewed from a rotating frame of reference will correspond to a real centrifugal force. Mutual radial repulsion due to tangential velocity is an absolute fact, dependent only on the existence of a real frame of reference to give meaning to the tangential velocity.
This is in contrast to fictitious Coriolis force. Fictitious Coriolis force is truly fictitious and it occurs only in a rotating frame of reference.
The difference between fictitious centrifugal force and fictitious Coriolis force arises from the fact that centrifugal force is a radial deflection due to a tangential motion, whereas Coriolis force is a tangential deflection due to a radial motion. As such, a rotating frame of reference masks the cause of a real centrifugal force but leads to an apparent Coriolis force.
In order to obtain a real Coriolis force we would need to have curled space. According to Maxwell's sea of molecular vortices, we ought to have curled space leading to a real Coriolis force. This is almost certainly the origins of the electromagnetic F = qvXB force, where B is related to the vorticity. David Tombe, 9th February 2007 ( 203.87.176.3 10:36, 9 February 2007 (UTC))
Centripetal force is not relevant in this discussion. Centripetal force is only a 'requirement' force needed to accelerate an object in a circle. Centrifugal force is not specifically related to circular motion. Centrifugal force exists radially between any two objects in the universe that have got a mutual tangential velocity. I don't understand why you have such difficulty seeing this simple fact.
In conjunction with the radially attractive force of gravity, centrifugal force leads to either elliptical motion, circular motion, parabolic motion, or hyperbolic motion depending on initial parameters.
You misrepresented me above. I made it quite clear that we only feel centrifugal force when it is restrained, just as in the case of gravity. Ie. we feel the reaction surface that is pushing against it. I wasn't getting confused with centripetal force at all.
You are completely wrong when you say that inertia is what causes the tendency to move outwards. The tendency to move outwards is a fundamental fact of the geometry of space which occurs when two objects possess mutual tangential velocity.
If you think that the tendency to move outwards is caused by inertia, can you please tell me exactly what inertia is and how it causes this tendency to move outwards. I might then ask how inertia causes an object to vear to one side in the case of the sister Coriolis force.
It strikes me that alot of the contributors to this article need to do an applied maths course in orbital mechanics.
And yes, I was meaning well. I was trying to simplify the article for you because it appears to have been written by people who's qualifications are limited to having swung a bucket of water over their heads.
Centrifugal force is always real. A rotating frame of reference cannot create a centrifugal force fictitiously that then proceeds to bump somebody against the inside of their car door. David Tombe 9th February 2007 ( 210.213.225.33 17:28, 9 February 2007 (UTC))
What evidence do you need to show that two objects with mutual tangential motion possess a mutual radial repulsion? It is a self evident geometrical fact. It is basic undergraduate level applied mathematics. Take a position vector and differentiate it twice with respect to time. You will arrive at a general acceleration vector that is split into two components. The radial component contains a direct component and a centrifugal component. The centrifugal component is equal to the velocity squared divided by the distance. Then there is the tangential component that is divided into the Coriolis acceleration and the angular acceleration.
This is not controversial theory. I'm sorry to see that WilyD felt it necessary to mention the bucket of water. This tends to confirm exactly what I said above. Have any of you guys taken an applied maths course in vector algebra or orbital mechanics, or are your qualifications limited to having swung a bucket of water over your heads?
Why is it that a very simple topic such as centrifugal force always has to be studied in conjunction with rotating frames of reference? Why do we have to go into that hall of mirrors? It opens up endless permutations. We could talk about the fictitious effects on a real motion as viewed from a rotating frame of reference, or we could talk about the fictitious effects on a fictitious motion due to viewing the object from a rotating frame of reference. We could talk about a fictitious circular motion being caused by a fictitious centripetal force which is itself caused by a fictitious outward centrifugal force in tandem with a fictitious inward Coriolis force that is twice as strong. But why bother?
We can sit and debate whether the man is flung against the inside of the car door, or whether the car door comes against the man.
The reason that I simplified the article was because it was an incoherent confusion of real centrifugal force and fictitious centrifugal force.
I really don't know what makes WilyD so sure that centrifugal force is never real. I would suggest to WilyD that before he goes around censoring left right and centre, that he should think long and hard about that bucket of water that he mentioned. The water above his head defies downward gravity. I don't see anything fictitious about that. The question only remains to quantify this effect. It is clearly an exclusive product of the fact that the water has got tangential motion relative to the fulcrum. There is no need to introduce inertia. It is a purely kinematical fact.
Have any of you censors ever actually studied planetary orbital theory? The haste with which you deleted my references to hyperbolic, parabolic, and elliptical motion suggests to me that you all possess a fear of the unknown. David Tombe 10th February 2007 ( 202.69.162.228 03:03, 10 February 2007 (UTC))
Yes, Newton's inverse square law force is an inwardly directed radial force. In the special case of a circular orbit, Newton's inverse square law force does indeed act as the centripetal force.
Now have you ever looked at the general situation for elliptical, parabolic, and hyperbolic orbits? The method is to consider the total forces involved. The tangential components of the general acceleration vector vanish because of Kepler's law of areal velocity (ie. zero curl). This leaves us with only the two radial components, ie. the Newtonian inverse square law force inwards, and a centrifugal force outwards. The centrifugal force is equal to the tangential speed squared, divided by the distance between the two planets. We are left with a complicated differential equation of which the solution is either an ellipse, a parabola, or a hyperbola, depending on initial parameters.
If the gravitational force is very weak compared to the centrifugal force, then we will have hyperbolic motion. If the gravitational force is negligible, then that hyperbola effectively becomes a straight line.
It is this straight line solution that we see around us all the time. Every two objects with mutual tangential velocity will possess a mutual radial repulsion. In our everyday cartesian/Euclidian view of things, this will show up as straight line motion. However, if we adopt the broader spherical universal vision, then those straight lines will actually be highly eccentric hyperbolae.
At the end of the day, the radial expansion between two objects moving tangentially is a reality irrespective of whatever coordinate system we use. It is the cause of pressure in a gas.
Let's now, for the sake of argument, enter into your rotating frame of reference, which according to the experts is the home of fictitious centrifugal force, and the only centrifugal force. Let's look at a centrifuge. The centrifuge throws objects to the edge and it even accords with Archimedes' Principle. That is a very real effect. The tangential motion that causes this effect is masked out by the rotation of the centrifuge, and hence from the perspective of the centrifuge, it becomes obvious that we now have a radially outward force. Mathematically, this centrifugal force is built into the transformation equations.
But that is no reason to deem the force as 'fictitious'. That radial motion is a reality no matter what frame of reference we look at it from. As soon as the centrifuge begins to spin, a tangential motion is set up between the particles and the fulcrum, and a radially outward acceleration occurs.
Not so with the Coriolis force. It is only fictitious. This is because the circular motion of the rotating frame of reference actually yields a tangential effect, whereas the radial effect of the centrifugal force has to be there anyway. The rotating frame of reference cannot create a radial effect.
I would have liked to have been able to talk about situations where the Coriolis force becomes real, but sadly it seems that that would be a forbidden topic because it involves concepts, such as curled dynamic liquid space, that have not been considered by the ruling physics party. David Tombe 10th February 2007 ( 203.87.176.3 06:40, 10 February 2007 (UTC))
Yet I am being accused of breaching Wikipedia policy by using unorthodox ideas. The accusations are being made by people who clearly haven't got the first clue about orbital theory. WilyD is going around arrogantly censoring everything that I write and claiming it to be pseudoscientific blabber. WilyD storms in claiming that all sources will confirm that centrifugal force is fictitious. Yes, a physics department might confirm it, but an applied maths department might not. It is clearly a contentious issue that hasn't been resolved. It ill becomes WilyD to assume that it has already been resolved in favour of 'fictitious only'.
This 'Orbital Theory' web link confirms what I have been saying all along. There is another school of thought which knows that centrifugal force is real. The right hand doesn't know what the left hand is up to. If anybody is in doubt, then please show me a differential equation that leads to conic section orbits, but doesn't involve the centrifugal force.
It is time that WilyD was told to stop the vandalism. David Tombe 10th February 2007 ( 203.87.176.3 07:46, 10 February 2007 (UTC)).
Count Iblis and Henning Makholm. You panic at the sight of the words ellipse, parabola, and hyperbola. You obviously haven't got a clue about planetary orbital theory. The centrifugal force is one of the input components of the differential equation which leads to these conic solutions. Why not begin by looking at the Wikipedia article on 'Orbital Theory'. [2]. Or look at equation (15) in this St. Andrew's University web link [3] David Tombe 10th February 2007 ( 210.213.229.36 14:43, 10 February 2007 (UTC))
Hi Edward. I was reading a little bit about your background and I see that General Relativity is your speciality. This means that you would be well into debates on topics like inertia and the equivalence between gravitational mass and inertial mass. At the moment however, I would prefer to concentrate on the issue regarding whether or not inertia is actual relevant in centrifugal force, irrespective of what inertia actually is, or how it could be relevant.
I can already see that you are influenced by the Newtonian concept that a body continues in a straight line unless acted upon by a force. I certainly don't disagree with this fact.
However I don't adopt the Newtonian concept that this motion is explained by inertia. I adopt an attitude more akin to that of Einstein, but without the special relativity. I see space itself as determining the motion of particles. Just like Boscovich, I believe that it can all be explained kinematically without any involvement of force or inertial mass. However, I'm satisfied enough with Newton's definition of force and mass but I don't think that they are necessary when analyzing planetary orbital motion.
From what I can see, mutual tangential speed leads to radial repulsion and that is a geometrical fact. Inertia doesn't come into it. David Tombe 10th February 2007 ( 203.87.176.3 06:59, 10 February 2007 (UTC))
No I haven't done anything of the sort. It is not original research. Centrifugal force is a reality in orbital theory. Take it away and the planets will go down. That is clear from equation (15) in the citation. My comments and views on inertia are a side issue to the core point. Your problem is that you probably never did an orbital theory course. The left hand in the science world doesn't know what the right hand is doing. You have been conditioned into believing that centrifugal force is only fictitious and so you don't want to look at equation (15). David Tombe 11th February 2007 ( 124.217.34.54 08:09, 11 February 2007 (UTC))
An edit war has been declared so I will not revert again for the meantime. I wish however to draw attention to one of the first paragraphs in the original edit. I will quote it here,
"A real or "reactive" centrifugal force occurs in reaction to a centripetal acceleration acting on a mass. This centrifugal force is equal in magnitude to the centripetal force, directed away from the center of rotation, and is exerted by the rotating object upon the object which imposes the centripetal acceleration. Although this sense was used by Isaac Newton,[1] it is only occasionally used in modern discussions.[2][3][4][5] "
This is an appalling inaccuracy. It implies that centrifugal force is only something that occurs in conjunction with centripetal force, and that it is confined to circular motion situations.
I have tried to explain that centrifugal force has got a much wider application and that it acts in planetary orbital theory to yield, parabolic, elliptical, and hyperbolic orbits. This raw fact appears not to have been to the liking of the guardians of this article. Am I to conclude that you are all at best physicists who have never done the orbital mechanics courses in applied mathematics?
The original article was very schoolboyish. I would hope that you would all go away and study the differential equation for a planetary orbit and take note of the presence of a very real centrifugal force. David Tombe 10th February 2007 ( 210.213.229.36 15:32, 10 February 2007 (UTC))
Henning Makholm. Now you are really showing yourself up in your true colours. You are talking total rubbish in order to try and cover up some basic truths about orbital dynamics. Centrifugal force is in the differential equation, end of story. I've shown you two citations, but really I shouldn't have had to bother. Christoffel symbols don't come into it. There is no need to introduce irrelevencies to cloud the issue and make it appear more complicated than it is.
You are totally out of order and I hope somebody else brings this subject up sooner or later. You are stamping on the truth and I don't know what your motive is. I solved the planetary orbital equation many times so don't try to pull the wool over my eyes that it doesn't contain the centrifugal force. Just click on those links that I gave you and see it right now. Equation (15) right here [4] David Tombe 10th February 2007 ( 222.126.33.122 16:35, 10 February 2007 (UTC))
Hi Henning, in the particular example at equation (15), they are using polar coordinates in an inertial frame of reference. The radial effect is a reality no matter what frame of reference we use.
I am fully aware of that branch of applied maths that deals with rotating frames of reference and we are all agreed that rotating frames of reference create fictitious effects. But I can assure you that orbital theory has got absolutely nothing to do with rotating frames of reference. The differential equation (15) contains two components. (1) Newton's gravity downwards, and (2) Centrifugal force upwards. Without the latter component there could be no planetary orbits. Are you trying to say that the centrifugal term is fictitious?
Look at it another way. If you think that just because the radial vector is rotating that this makes the centrifugal force fictitious, then you are overlooking the fact that the radial vector is also rotating for the inward Newtonian inverse square law component. Does that make the downward gravity fictitious too? David Tombe 11th February 2007 ( 124.217.34.54 06:16, 11 February 2007 (UTC))
First of all I ought to make it quite clear that I agree totally with Newton's laws of motion. The statement above which said "David is saying right off the bat that he is disregarding Newton's laws!" is a downright lie. At any rate, even if I was disregarding Newton's laws would that be a reason to disregard what I am saying? The ruling physics party who you all protect have long since moved on from Newton. So apart from it being a lie, what was your point?
I could easily delete this kind of misrepresentation, but I wouldn't want to stoop to that cheap level of deleting everything that doesn't take my fancy. It seems that the author above is so concerned that I might continue to press the case for real centrifugal force that he is advocating that the article become semi-protected.
Let's go over the main points again. This edit war began in the Coriolis force section. Having studied Maxwell's 1861 paper 'On Physical Lines of Force' I saw how he used centrifugal force to account for ferromagnetic and electromagnetic repulsion, as well as diamagnetic repulsion and paramagnetic attraction (Archimedes' Principle). I deduced from his paper that not only was centrifugal force real, but that real Coriolis force is also involved in magnetism.
I put forward the case for real Coriolis force in magnetism but it instantly resulted in an edit war. I backed down on that for the reason that whether I like it or not, the concept was indeed original research, and as such it was contrary to Wikipedia policy.
However, the same elements that were deleting me on the Coriolis force issue continued to delete me on the centrifugal force issue. The difference now is that real centrifugal force is not original research. It is built into planetary orbital theory. Take the centrifugal force out of the planetary orbital equation and the planets will not stay up. Henning Makholm has tried to wriggle out of this by suggesting that the centrifugal force term in equation (15) is in a rotating frame of reference. It is not. Polar coordinates are not the same thing as rotating frames of reference. Think it all through very carefully before locking your article up in its current amateur format. David Tombe 11th February 2007 ( 124.217.34.54 06:37, 11 February 2007 (UTC))
This quote represents your utter delusion. If the force is in the equation, then it represents a real force if it has any effect.
But much more importantly, if you think the fact that the radial vector rotates renders the centrifugal force fictitious, then it should do the same to the inward Newtonian inverse square law force. They both operate in the radial direction. Therefore they are either both real or they are both fictititious.
You can't have it both ways, and you know fine well that gravity is real. The force of gravity and the centrifugal force both operate together in the planetary orbital equation and they operate inside the same radial component. You cannot arbitrarily say that one of these two forces is fictitious and that the other is real. Radial repulsion is a reality. It is independent of whatever frame of reference we use. Tangential motion leads to radial repulsion. It doesn't matter that the radial vector is rotating. It still has a real effect and it causes gas pressure.
Do you seriously believe that the whole picture is going to change if you view it from cartesian coordinates? For a start, cartesian coordinates are hardly suitable for analyzing the radial force of gravity, so why bother at all? If you do it in cartesian coordinates, there still has to be a Newtonian gravitation component acting towards a fixed point. There will equally be a convective component acting in the opposite direction to the inward gravity. You cannot eliminate centrifugal force just by switching to cartesian coordinates. If something moves in an ellipse, then it moves in an ellipse irrespective of whatever coordinate system we use to describe it. If that ellipse involves an inward gravitational force to the fulcrum, then it must also involve an outward centrifugal force away from the fulcrum. Polar coordinates are the system most suited for this geometry. But because the centrifugal force is so transparent in polar coordinates, you are trying to pull the wool over my eyes and exhort me to look at it all in the much more complicated cartesian coordinate system. And you believe that if I were to read the book which you referred me to that I would be made to believe that cartesian coordinates could make the outward radial acceleration vanish?
And you even performed a conjuring trick! You used the general acceleration equation in polar coordinates without the inclusion of Newton's law of gravity and told me that it equals zero acceleration in the cartesian frame. Absolutely true. You then went even further and referred me to a big thick book just in case I was in any doubt. But your transformation had got nothing to do with the interplay of centrifugal force and Newtonian gravity within a radial differential equation. David Tombe 11th february 2007 ( 210.213.126.125 09:51, 11 February 2007 (UTC))
Our lines obviously crossed and you missed my latest insertion. Am I to read the textbook to convince myself that the general acceleration equation in polar coordinates in the absence of gravity is equal to zero acceleration in cartesian coordinates? I'm already convinced. But that is not the scenario that we are talking about. We are talking about the interplay between inward gravity and outward centrifugal force both contained within the rotating radial component.
Once it gets to the stage of trying to fob people off with big thick books it is usually a sign that they have no argument. It is a classical ploy of a cornered academic. David Tombe 11th February 2007 ( 210.213.126.125 10:28, 11 February 2007 (UTC))
Now we are into sophism. You referred me to a texbook in order to convince myself that the general acceleration equation in polar coordinates, in the absence of a gravitational force, is equal to zero acceleration in the cartesian frame. That fact is absolutely true. I was not disputing that fact, but it is not the scenario that we are debating. We are debating the interplay between centrifugal force and gravitational force. They both occur in the radial direction. The radial vector is rotating, but that can hardly make the centrifugal force fictitious and yet leave the gravitational force real.
You have ducked this issue. You have used the classic decoy ploy of referring me to a textbook for an irrelevancy. You are even continuing now by coming out with 'de jure' phrases such as that texbooks are a way of solving disputes. You are being presumptious that any textbook exists which contradicts what I am saying. Show me the textbook and the exact page number that says that the centrifugal force radially outwards is fictititious because the radial vector is rotating, but that the radially inward gravitational force is real even though the radial vector is rotating. David Tombe 11th February 2007 ( 210.213.126.125 11:16, 11 February 2007 (UTC))
No you can't go away at this stage of the argument. We were steadily homing into the conclusion. At first you guys were trying to deny that the centrifugal force appears in the planetary orbital equation. I then had to provide citations.
You have now accepted that the centrifugal force is present in the orbital equation. We know that it acts radially outwards, just as the Newtonian inverse square law component acts radially inwards. The allegation has now been made that the centrifugal force is fictitious because the radial vector is rotating. How come this same logic is not applied to Newton's law of gravity? Newton's law of gravity speaks of a radially inward force. For a tangentially moving object, that radial direction is rotating. Does that make gravity fictitious? Of course not. So why should the same line of reasoning make centrifugal force fictitious?
Can you not see the picture clearly when we home in on two particles with mutual tangential velocity? There will be a radial expansion. It doesn't matter if that radial vector is rotating. The expansion is a reality, and we live in a spherical universe. That expansion accounts for pressure in kinetic theory of gases.
Your concept of fictitious centrifugal force is very much mistaken. If centrifugal force is only an artifact of a rotating frame of reference, then how can it throw somebody against the inside door of a car? How can it invoke Archimedes' Principle in a centrifuge? Artifacts don't have such real effects.
It is of course possible to have a purely fictitious centrifugal force. A particle that is stationary in an inertial frame of reference will have an artificial circular motion in a rotating frame of reference. This artificial circular motion will have a fictitious centripetal force comprised of a fictitious centrifugal force outwards, and a fictitious Coriolis force inwards. (as you know, the Coriolis force is 2vω = 2r(ω^2)= 2 X the centrifugal force. Hence the fictitious centripetal force inwards is equal in magnitude to the fictitious centrifugal force outwards. But we really don't need to go into this hall of mirrors).
In standard rotating frame of reference theory, we obtain an inbuilt centrifugal force that applies to objects that are stationary within the rotating frame. These objects get flung out radially to the edge. But this is a real effect. It is not an artifact. The expansion of their radial vector from the fulcrum is due to a very real tangential velocity in the inertial frame. That radial expansion is a reality that is independent of any frame of reference.
If the physics establishment are confused about this, then I don't know what the solution should be for your Wikipedia article. The current article as it stands, and was made prior to any edits by myself, does at least acknowledge that centrifugal force has got a real dimension. It is however very confused, and it muddles up real scenarios with fictitious scenarios, as well as limiting the discussion to circular motion. There is no mention of hyperbolic orbital paths.
I'm certainly not going to continue a petty edit war. That was never my original intention. But I think that somebody should re-write the main page at some stage. This cannot happen until the main guardians of the page have accepted the reality of 'Real Centrifugal Force'.
When you have accepted that centrifugal force is a reality, you will be surprised what doors are opened up for you. You will be able to appreciate better the writings of the great masters such as Bernoulli and Maxwell. You might even be willing to open up your minds to the role of both real centrifugal force and real Coriolis force in magnetism.
Anyhow, as a bear minimum, I think that the page should be re-written in such a way as to acknowledge the fact that a dispute exists. Fictitious centrifugal force should be discussed, and so should real centrifugal force. At the moment, you have real centrifugal force catered for under the title of 'Reactive Centrifugal Force'. That is not too bad a way of describing it. It emphasizes the fact that it is felt when we restrain it. But it leaves people wondering how a fictitious artifact can actually be physically restrained in the first place. David Tombe 11th February 2007 ( 203.87.176.3 13:23, 11 February 2007 (UTC))
EMS, you are ducking the issue and trying to confuse it with coordinate frame transformations. Two objects with mutual tangential velocity will be accelerating apart. That is a real effect whether the acceleration vector is rotating or not.
There is no need to play the numbers game here and act like as if I am the only person who can see this simple fact. I am outnumbered at the moment by the guardians of the article. That proves nothing.
You are in total denial of a very simple fact. Show me two objects with mutual tangential velocity that are not accelerating apart from each other. David Tombe 11th february 2007 ( 203.87.176.3 17:02, 11 February 2007 (UTC))
Hi Henning, coordinate frames don't need to come into it at all, never mind coordinate frame transformations. All we need to look at is two objects that possess a mutual tangential speed. They will be accelerating away from each other. It is as simple as that. That is the basis of centrifugal repulsion. v^2/r is as fundamental as Newton's inverse square law of gravity. The two of them operate in tandem with each other along the line of connection between any two particles, and it leads to elliptic, parabolic, or hyperbolic orbits. It is of no concern that the radial vector joining the two particles happens to be rotating, yet you seem to think that this is indeed a matter of concern, but only for the centrifugal component.
Anyway, if we are going to use a coordinate frame, the polar coordinate frame is the most simple one to use. You said that I have a fixation about it? I have never seen orbital theory analyzed in anything other than polar coordinates. I'm sure it can be done in cartesian coordinates too. But why would you bother?
I can't believe that you think that a cartesian coordinate frame would cancel the outward centrifugal radial acceleration between the two objects. David Tombe 11th february 2007 ( 203.87.176.3 17:46, 11 February 2007 (UTC))
No WilyD, if you get thrown against the inside of the door of a swerving car, that is not a fictitious effect. That is a real effect. The car door was reacting against a radial acceleration in the inertial frame. Look at it from the perspective of the inertial frame of reference and there will be a real radial acceleration between the person and the centre of the circle of which the car's path forms part of. There will most certainly be objects inside that circle with which the passenger shares a mutual radial repulsion. You are totally mistaken when you say that there is absolutely no acceleration in the inertial frame.
The fundamental theory goes down to the tangential motion between any two particles, leading to a radial repulsion. If you walk past a lamp post in a straight line, there will be an outward radial acceleration between you and the lamp post. If we combine this outward radial centrifugal acceleration with the inward radial acceleration due to gravity, we will get a conic section solution. If gravity is very small compared to centrifugal force, the solution will be a hyperbola. In the case of a walker passing a lamp post, gravity will be negligible and the hyperbola will effectively become a straight line.
Even when the car is not swerving around a corner, the passenger will have radial acceleration relative to many objects but it will not be felt because the car is following the same straight line trajectory that the passenger would be following and hence it does not restrain the centrifugal force on the passenger. It's when the car swerves that it brings the door against the passenger and forces the passenger to swerve out of their natural straight line motion. The straight line motion, as I said earlier is the natural solution to centrifugal force and gravity when gravity is negligible.
The truth of the matter is that polar coordinates are actually the system of coordinates that best correspond to reality. It doesn't mean that they are the only correct kind of coordinates, but they are clearly the best system for transparency of the nature of space.
I think the problem that you guys are having is accepting the idea that radial acceleration is an ongoing reality between most particles even if there is no acceleration in the cartesian frame. It is the reality of this radial acceleration which you are failing to notice. In everyday life it doesn't seem relevant. But when we expand it into the large scale, it leads to a picture of ellipses, parabolae and hyperbolae. David Tombe 11th February 2007
ems57fcva, orbital dynamics can be done purely kinematically. There is absolutely no reason to have to involve force at all. However if you so wish, you can convert a centrifugal acceleration into a centrifugal force simply by multiplying it by inertial mass. Let me quote you here,
"In addition, the references you cite do not make any claim that the radial acceleration is due to a force."
No claim is necessary. Multiply any acceleration by inertial mass and you have got a force. That is Newton's second law of motion.
Now let's look at another of your quotes,
"It has already been explained to you that all orbits can be derived by assuming inertia and the inverse square law for gravity in Newtonian physics."
This is arrant nonsense. If there is no centrifugal force in the orbital equation, you will not get elliptical, parabolic, or hyperbolic solutions. It is ludicrous to suggest that inertia can substitute for the vital v^2/r expression in the differential equation. It is also untrue to say that this has already been explained to me. It was never explained to me and I doubt if it could possibly be explained to anybody. I'd be more than happy if you could show me the derivation of conic orbits using inertia but no centrifugal force. David Tombe 12th February 2007
If an object has a centrifugal acceleration, multiply it by its mass and you will obtain the centrifugal force. David Tombe 14th April 2007 ( 61.7.159.15 16:14, 14 April 2007 (UTC))
The basic equation F = ma tells us absolutely nothing. We need to know the expressions for a before we can even begin to solve the trajectory. David Tombe 14th April 2007 ( 61.7.159.15 16:14, 14 April 2007 (UTC))
This page is an archive of past discussions. Do not edit the contents of this page. If you wish to start a new discussion or revive an old one, please do so on the current talk page. |
I learned that in the first month of high school physics. The length and scientific precision of this article suggests the veracity of this falsehood. This article should explain where the misconception comes from, why it is incorrect, and then point readers to the centripetal force page.
Centrifugal repulsion exists radially between any two objects that possess mutual tangential motion. That is an indisputable fact. It manifests itself if we try to restrain it. Maxwell used centrifugal force in the hydrodynamics of part I of his 1861 paper 'On Physical Lines of Force' in order to account for electromagnetic and ferromagnetic repulsion. He also used it to account for diamagnetic attraction and repulsion in what was effectively the Archimedes' Principle of magnetism.
I was also taught at university that centrifugal force does not exist. This false teaching is based on the simplistic argument that when we release an object that is being constrained to move in a circle, it will fly off at a tangent and not radially. In actual fact, it flies off both tangentially and radially. There can be no doubt that centrifugal force is a very real force but that it has been dropped out of modern physics. The Coriolis Force is also a real force that manifests itself in electromagnetism as F = qvXB. David Tombe 4th February 2007 ( 210.213.226.9 20:40, 3 February 2007 (UTC))
If you don't mind, can I just quote you here. You say,
If the centrifugal force was real, it would not cause the object to travel in a radial path. It would in fact make the object travel in a radial path.
I agree that if the centrifugal force is real, it would cause the object to travel in a radial path. So I don't know what your quote means. Can you please clarify? It also seems that you can't see centrifugal force outside of the limited context of circular motion. David Tombe 12th February 2007 ( 222.126.33.122 13:32, 12 February 2007 (UTC))
The reason that I deleted your insertion
"It should be noted however that when proposing this 'hydrodynamic' description (that was built upon in work published in the seminal papers 'On Faraday's Lines of Force' and 'On Physical Lines of Force') Maxwell was not intending the fluid to be thought of as real: [1] -
-
- It is not even a hypothetical fluid which is introduced to explain actual - phenomena. It is merely a collection of imaginary properties which may be - employed for establishing certain theorems in pure mathematics in a way - more intelligible to many minds and more applicable to physical problems - than that in which algebraic symbols alone are used.
-
"
was because the web link for Maxwell's 1861 paper 'On Physical Lines of Force' was made available for anybody to read. Anybody reading part I of this paper would know that Maxwell believed absolutely in the reality of the fluid aethereal medium. To say otherwise is a total misrepresentation of the truth. You then finished with a quote but didn't tell us who made the quote.
Maxwell was quite clear on the fact that a sea of aethereal vortices exists and that these vortices must be surrounded by electrical particles. If these vortices aren't real, and yet they explain the mechanics of magnetism, then what are they? Why would they be any less real than the elements of the periodic table? David Tombe 7th February 2007 ( 202.69.162.228 18:34, 7 February 2007 (UTC))
Maxwell's 1861 paper is highly relevant regarding the topic of centrifugal force. The original archive paper has been provided in the form of a pdf web link. The paper consists of four parts. Part I is the relevant hydrodynamical part.
Maxwell operates on the basis that space is pervaded by a sea of tiny aethereal whirlpools. Maxwell does the mathematics for such a sea of whirlpools, and at equation (5) he arrives at an expression for some of the important aspects of magnetism. Central to this hydrodynamical analysis is the fact that centrifugal repulsion force acts between spinning objects.
Anybody who has ever studied polar coordinates, knows that any two objects with a mutual tangential velocity will have a mutual radial repulsion which takes on the mathematical form of the centrifugal force. Maxwell uses this concept to show that ferromagnetic repulsion, electromagnetic repulsion, as well as diamagnetic repulsion and paramagnetic attraction can all be explained by focused centrifugal force in the equatorial plane of his sea of whirlpools.
Unless you are a logical positivist, this ought to be conclusive evidence that centrifugal force is real and that the sea of aethereal vortices is also real.
The 1861 paper is there to be read by anybody who can then make up their own mind.
The reason that I deleted the extra insertion was because whoever made the insertion made it look as if it was part of the original article, and it had the effect of undoing the point. Whoever made that insertion was trying to have us all believe that Maxwell did not actually believe that the sea of whirlpools was real. The insertion was completely untrue and the matter can be easily checked out simply by reading the preamble of part I of Maxwell's 1861 paper. Had the person making the insertion simply stated that they themselves didn't consider Maxwell's sea of vortices to be real then that would have been a different matter. But they tried to put across the idea that Maxwell didn't believe it.
Maxwell did believe it and he went to considerable pains to give a mechanical explanation of magnetism using the concept.
But the key point as regards the principle topic 'Centrifugal Force' is that centrifugal force can explain magnetic repulsion. That is an indisputable fact. David Tombe 8th February 2007 ( 202.69.162.228 05:43, 8 February 2007 (UTC))
It doesn't surprise me that the quote was actually from the 1855 paper "On Faraday's Lines of Force". In the 1861 paper "On Physical lines of Force", Maxwell does indeed refer to this 1855 paper and the fact that the mechanical illustrations in it were designed to assist the imagination and not to accont for phenomena. He immediately goes on to say that he now proposes to examine magnetism from a mechanical point of view.
So what you have done is to take a quote from an 1855 paper about an imaginary phenomenon, and apply that quote as if it were referring to a real phenomenon in another 1861 paper. You basically tried to undermine the reality of centrifugal force in Maxwell's 1861 paper by using an 1855 quote totally out of context.
On your other point, it's true that Maxwell didn't continue with the vortex sea in his later papers. That doesn't mean that he had dropped the idea. He actually gives his reasons towards the end of the 1861 paper, and those reasons were to do with the fact that he couldn't get a focused picture of how the idle wheels would actually relate to the vortices. He made it clear that his proposition was not the focused picture, but that it was almost certainly heading in the dircetion of the focused picture.
In his 1864 paper, he began to concentrate exclusively on a dynamical approach and he avoided any mention of the vortex sea. He did nevertheless state his unequivocal belief that a dielectric medium existed for the purposes of electric and magnetic phenomena, and he held this belief until his death.
We shouldn't discount the hydrodynamics used by Maxwell in his 1861 paper, and which involved centrifugal force and also lead to the Coriolis force, simply on the grounds of a quote about another matter in an 1855 paper, or because Maxwell didn't progress with his vortex cell model. 2/13/07 ( 203.115.188.254 10:57, 13 February 2007 (UTC))
Regarding: "If these vortices aren't real, and yet they explain the mechanics of magnetism, then what are they? Why would they be any less real than the elements of the periodic table?", that is an interesting point. The atomic model of a nucleus and electron shells, which the gives the arrangement of the periodic table it's logic, is just a model which fits the observables. One shouldn't really think of a particle orbiting a center - except that it's a handy tool for describing the situation (just as Maxwell's vortices). The reality of actually what these things are is not necessarily the same as the model used to describe them.
I still think all this Maxwell stuff is an interesting afterthought on the topic of Centrifugal Force, it really should be relegated to the bottom of the article - most people will be looking for other information on this page.
Richard Allen 128.40.74.62 13:29, 9 February 2007 (UTC)
I would have no objections to it being relegated to further down the article. But there is a group of people who are dedicated to this article and who have been insisting on deleting it completely. It's like as if there exists a fictititious brigade that wants to view everything as being fictitious. They would rather talk about artificial circular motion in a rotating frame of reference and the accompanying fictitious centripetal, fictitious centrifugal and fictitious Coriolis forces, rather than talk about situations in which centrifugal force is very real.
You mentioned that even the orbital model of atoms does not necessarily represent reality. Maybe it is not an exact picture. Maxwell acknowledged that his vortex cells were almost certainly not an exact picture. But anybody who reads his 1861 paper would know that there must exist something that is roughly in that likeness. It is too extreme an option to merely abandon it and replace it with pure vacuum. We have clear evidence for swirling dynamical space and not only for real centifugal force, but also for real Coriolis force.
Some of you even believed that my name was fictitious. It's time that alot of you snapped out of this unhealthy cult of fictitiousism. So this time, I'll sign out as a fictitious anon. 2/13/07 ( 203.115.188.254 11:19, 13 February 2007 (UTC))
Every fictitious centrifugal force as viewed from a rotating frame of reference will correspond to a real centrifugal force. Mutual radial repulsion due to tangential velocity is an absolute fact, dependent only on the existence of a real frame of reference to give meaning to the tangential velocity.
This is in contrast to fictitious Coriolis force. Fictitious Coriolis force is truly fictitious and it occurs only in a rotating frame of reference.
The difference between fictitious centrifugal force and fictitious Coriolis force arises from the fact that centrifugal force is a radial deflection due to a tangential motion, whereas Coriolis force is a tangential deflection due to a radial motion. As such, a rotating frame of reference masks the cause of a real centrifugal force but leads to an apparent Coriolis force.
In order to obtain a real Coriolis force we would need to have curled space. According to Maxwell's sea of molecular vortices, we ought to have curled space leading to a real Coriolis force. This is almost certainly the origins of the electromagnetic F = qvXB force, where B is related to the vorticity. David Tombe, 9th February 2007 ( 203.87.176.3 10:36, 9 February 2007 (UTC))
Centripetal force is not relevant in this discussion. Centripetal force is only a 'requirement' force needed to accelerate an object in a circle. Centrifugal force is not specifically related to circular motion. Centrifugal force exists radially between any two objects in the universe that have got a mutual tangential velocity. I don't understand why you have such difficulty seeing this simple fact.
In conjunction with the radially attractive force of gravity, centrifugal force leads to either elliptical motion, circular motion, parabolic motion, or hyperbolic motion depending on initial parameters.
You misrepresented me above. I made it quite clear that we only feel centrifugal force when it is restrained, just as in the case of gravity. Ie. we feel the reaction surface that is pushing against it. I wasn't getting confused with centripetal force at all.
You are completely wrong when you say that inertia is what causes the tendency to move outwards. The tendency to move outwards is a fundamental fact of the geometry of space which occurs when two objects possess mutual tangential velocity.
If you think that the tendency to move outwards is caused by inertia, can you please tell me exactly what inertia is and how it causes this tendency to move outwards. I might then ask how inertia causes an object to vear to one side in the case of the sister Coriolis force.
It strikes me that alot of the contributors to this article need to do an applied maths course in orbital mechanics.
And yes, I was meaning well. I was trying to simplify the article for you because it appears to have been written by people who's qualifications are limited to having swung a bucket of water over their heads.
Centrifugal force is always real. A rotating frame of reference cannot create a centrifugal force fictitiously that then proceeds to bump somebody against the inside of their car door. David Tombe 9th February 2007 ( 210.213.225.33 17:28, 9 February 2007 (UTC))
What evidence do you need to show that two objects with mutual tangential motion possess a mutual radial repulsion? It is a self evident geometrical fact. It is basic undergraduate level applied mathematics. Take a position vector and differentiate it twice with respect to time. You will arrive at a general acceleration vector that is split into two components. The radial component contains a direct component and a centrifugal component. The centrifugal component is equal to the velocity squared divided by the distance. Then there is the tangential component that is divided into the Coriolis acceleration and the angular acceleration.
This is not controversial theory. I'm sorry to see that WilyD felt it necessary to mention the bucket of water. This tends to confirm exactly what I said above. Have any of you guys taken an applied maths course in vector algebra or orbital mechanics, or are your qualifications limited to having swung a bucket of water over your heads?
Why is it that a very simple topic such as centrifugal force always has to be studied in conjunction with rotating frames of reference? Why do we have to go into that hall of mirrors? It opens up endless permutations. We could talk about the fictitious effects on a real motion as viewed from a rotating frame of reference, or we could talk about the fictitious effects on a fictitious motion due to viewing the object from a rotating frame of reference. We could talk about a fictitious circular motion being caused by a fictitious centripetal force which is itself caused by a fictitious outward centrifugal force in tandem with a fictitious inward Coriolis force that is twice as strong. But why bother?
We can sit and debate whether the man is flung against the inside of the car door, or whether the car door comes against the man.
The reason that I simplified the article was because it was an incoherent confusion of real centrifugal force and fictitious centrifugal force.
I really don't know what makes WilyD so sure that centrifugal force is never real. I would suggest to WilyD that before he goes around censoring left right and centre, that he should think long and hard about that bucket of water that he mentioned. The water above his head defies downward gravity. I don't see anything fictitious about that. The question only remains to quantify this effect. It is clearly an exclusive product of the fact that the water has got tangential motion relative to the fulcrum. There is no need to introduce inertia. It is a purely kinematical fact.
Have any of you censors ever actually studied planetary orbital theory? The haste with which you deleted my references to hyperbolic, parabolic, and elliptical motion suggests to me that you all possess a fear of the unknown. David Tombe 10th February 2007 ( 202.69.162.228 03:03, 10 February 2007 (UTC))
Yes, Newton's inverse square law force is an inwardly directed radial force. In the special case of a circular orbit, Newton's inverse square law force does indeed act as the centripetal force.
Now have you ever looked at the general situation for elliptical, parabolic, and hyperbolic orbits? The method is to consider the total forces involved. The tangential components of the general acceleration vector vanish because of Kepler's law of areal velocity (ie. zero curl). This leaves us with only the two radial components, ie. the Newtonian inverse square law force inwards, and a centrifugal force outwards. The centrifugal force is equal to the tangential speed squared, divided by the distance between the two planets. We are left with a complicated differential equation of which the solution is either an ellipse, a parabola, or a hyperbola, depending on initial parameters.
If the gravitational force is very weak compared to the centrifugal force, then we will have hyperbolic motion. If the gravitational force is negligible, then that hyperbola effectively becomes a straight line.
It is this straight line solution that we see around us all the time. Every two objects with mutual tangential velocity will possess a mutual radial repulsion. In our everyday cartesian/Euclidian view of things, this will show up as straight line motion. However, if we adopt the broader spherical universal vision, then those straight lines will actually be highly eccentric hyperbolae.
At the end of the day, the radial expansion between two objects moving tangentially is a reality irrespective of whatever coordinate system we use. It is the cause of pressure in a gas.
Let's now, for the sake of argument, enter into your rotating frame of reference, which according to the experts is the home of fictitious centrifugal force, and the only centrifugal force. Let's look at a centrifuge. The centrifuge throws objects to the edge and it even accords with Archimedes' Principle. That is a very real effect. The tangential motion that causes this effect is masked out by the rotation of the centrifuge, and hence from the perspective of the centrifuge, it becomes obvious that we now have a radially outward force. Mathematically, this centrifugal force is built into the transformation equations.
But that is no reason to deem the force as 'fictitious'. That radial motion is a reality no matter what frame of reference we look at it from. As soon as the centrifuge begins to spin, a tangential motion is set up between the particles and the fulcrum, and a radially outward acceleration occurs.
Not so with the Coriolis force. It is only fictitious. This is because the circular motion of the rotating frame of reference actually yields a tangential effect, whereas the radial effect of the centrifugal force has to be there anyway. The rotating frame of reference cannot create a radial effect.
I would have liked to have been able to talk about situations where the Coriolis force becomes real, but sadly it seems that that would be a forbidden topic because it involves concepts, such as curled dynamic liquid space, that have not been considered by the ruling physics party. David Tombe 10th February 2007 ( 203.87.176.3 06:40, 10 February 2007 (UTC))
Yet I am being accused of breaching Wikipedia policy by using unorthodox ideas. The accusations are being made by people who clearly haven't got the first clue about orbital theory. WilyD is going around arrogantly censoring everything that I write and claiming it to be pseudoscientific blabber. WilyD storms in claiming that all sources will confirm that centrifugal force is fictitious. Yes, a physics department might confirm it, but an applied maths department might not. It is clearly a contentious issue that hasn't been resolved. It ill becomes WilyD to assume that it has already been resolved in favour of 'fictitious only'.
This 'Orbital Theory' web link confirms what I have been saying all along. There is another school of thought which knows that centrifugal force is real. The right hand doesn't know what the left hand is up to. If anybody is in doubt, then please show me a differential equation that leads to conic section orbits, but doesn't involve the centrifugal force.
It is time that WilyD was told to stop the vandalism. David Tombe 10th February 2007 ( 203.87.176.3 07:46, 10 February 2007 (UTC)).
Count Iblis and Henning Makholm. You panic at the sight of the words ellipse, parabola, and hyperbola. You obviously haven't got a clue about planetary orbital theory. The centrifugal force is one of the input components of the differential equation which leads to these conic solutions. Why not begin by looking at the Wikipedia article on 'Orbital Theory'. [2]. Or look at equation (15) in this St. Andrew's University web link [3] David Tombe 10th February 2007 ( 210.213.229.36 14:43, 10 February 2007 (UTC))
Hi Edward. I was reading a little bit about your background and I see that General Relativity is your speciality. This means that you would be well into debates on topics like inertia and the equivalence between gravitational mass and inertial mass. At the moment however, I would prefer to concentrate on the issue regarding whether or not inertia is actual relevant in centrifugal force, irrespective of what inertia actually is, or how it could be relevant.
I can already see that you are influenced by the Newtonian concept that a body continues in a straight line unless acted upon by a force. I certainly don't disagree with this fact.
However I don't adopt the Newtonian concept that this motion is explained by inertia. I adopt an attitude more akin to that of Einstein, but without the special relativity. I see space itself as determining the motion of particles. Just like Boscovich, I believe that it can all be explained kinematically without any involvement of force or inertial mass. However, I'm satisfied enough with Newton's definition of force and mass but I don't think that they are necessary when analyzing planetary orbital motion.
From what I can see, mutual tangential speed leads to radial repulsion and that is a geometrical fact. Inertia doesn't come into it. David Tombe 10th February 2007 ( 203.87.176.3 06:59, 10 February 2007 (UTC))
No I haven't done anything of the sort. It is not original research. Centrifugal force is a reality in orbital theory. Take it away and the planets will go down. That is clear from equation (15) in the citation. My comments and views on inertia are a side issue to the core point. Your problem is that you probably never did an orbital theory course. The left hand in the science world doesn't know what the right hand is doing. You have been conditioned into believing that centrifugal force is only fictitious and so you don't want to look at equation (15). David Tombe 11th February 2007 ( 124.217.34.54 08:09, 11 February 2007 (UTC))
An edit war has been declared so I will not revert again for the meantime. I wish however to draw attention to one of the first paragraphs in the original edit. I will quote it here,
"A real or "reactive" centrifugal force occurs in reaction to a centripetal acceleration acting on a mass. This centrifugal force is equal in magnitude to the centripetal force, directed away from the center of rotation, and is exerted by the rotating object upon the object which imposes the centripetal acceleration. Although this sense was used by Isaac Newton,[1] it is only occasionally used in modern discussions.[2][3][4][5] "
This is an appalling inaccuracy. It implies that centrifugal force is only something that occurs in conjunction with centripetal force, and that it is confined to circular motion situations.
I have tried to explain that centrifugal force has got a much wider application and that it acts in planetary orbital theory to yield, parabolic, elliptical, and hyperbolic orbits. This raw fact appears not to have been to the liking of the guardians of this article. Am I to conclude that you are all at best physicists who have never done the orbital mechanics courses in applied mathematics?
The original article was very schoolboyish. I would hope that you would all go away and study the differential equation for a planetary orbit and take note of the presence of a very real centrifugal force. David Tombe 10th February 2007 ( 210.213.229.36 15:32, 10 February 2007 (UTC))
Henning Makholm. Now you are really showing yourself up in your true colours. You are talking total rubbish in order to try and cover up some basic truths about orbital dynamics. Centrifugal force is in the differential equation, end of story. I've shown you two citations, but really I shouldn't have had to bother. Christoffel symbols don't come into it. There is no need to introduce irrelevencies to cloud the issue and make it appear more complicated than it is.
You are totally out of order and I hope somebody else brings this subject up sooner or later. You are stamping on the truth and I don't know what your motive is. I solved the planetary orbital equation many times so don't try to pull the wool over my eyes that it doesn't contain the centrifugal force. Just click on those links that I gave you and see it right now. Equation (15) right here [4] David Tombe 10th February 2007 ( 222.126.33.122 16:35, 10 February 2007 (UTC))
Hi Henning, in the particular example at equation (15), they are using polar coordinates in an inertial frame of reference. The radial effect is a reality no matter what frame of reference we use.
I am fully aware of that branch of applied maths that deals with rotating frames of reference and we are all agreed that rotating frames of reference create fictitious effects. But I can assure you that orbital theory has got absolutely nothing to do with rotating frames of reference. The differential equation (15) contains two components. (1) Newton's gravity downwards, and (2) Centrifugal force upwards. Without the latter component there could be no planetary orbits. Are you trying to say that the centrifugal term is fictitious?
Look at it another way. If you think that just because the radial vector is rotating that this makes the centrifugal force fictitious, then you are overlooking the fact that the radial vector is also rotating for the inward Newtonian inverse square law component. Does that make the downward gravity fictitious too? David Tombe 11th February 2007 ( 124.217.34.54 06:16, 11 February 2007 (UTC))
First of all I ought to make it quite clear that I agree totally with Newton's laws of motion. The statement above which said "David is saying right off the bat that he is disregarding Newton's laws!" is a downright lie. At any rate, even if I was disregarding Newton's laws would that be a reason to disregard what I am saying? The ruling physics party who you all protect have long since moved on from Newton. So apart from it being a lie, what was your point?
I could easily delete this kind of misrepresentation, but I wouldn't want to stoop to that cheap level of deleting everything that doesn't take my fancy. It seems that the author above is so concerned that I might continue to press the case for real centrifugal force that he is advocating that the article become semi-protected.
Let's go over the main points again. This edit war began in the Coriolis force section. Having studied Maxwell's 1861 paper 'On Physical Lines of Force' I saw how he used centrifugal force to account for ferromagnetic and electromagnetic repulsion, as well as diamagnetic repulsion and paramagnetic attraction (Archimedes' Principle). I deduced from his paper that not only was centrifugal force real, but that real Coriolis force is also involved in magnetism.
I put forward the case for real Coriolis force in magnetism but it instantly resulted in an edit war. I backed down on that for the reason that whether I like it or not, the concept was indeed original research, and as such it was contrary to Wikipedia policy.
However, the same elements that were deleting me on the Coriolis force issue continued to delete me on the centrifugal force issue. The difference now is that real centrifugal force is not original research. It is built into planetary orbital theory. Take the centrifugal force out of the planetary orbital equation and the planets will not stay up. Henning Makholm has tried to wriggle out of this by suggesting that the centrifugal force term in equation (15) is in a rotating frame of reference. It is not. Polar coordinates are not the same thing as rotating frames of reference. Think it all through very carefully before locking your article up in its current amateur format. David Tombe 11th February 2007 ( 124.217.34.54 06:37, 11 February 2007 (UTC))
This quote represents your utter delusion. If the force is in the equation, then it represents a real force if it has any effect.
But much more importantly, if you think the fact that the radial vector rotates renders the centrifugal force fictitious, then it should do the same to the inward Newtonian inverse square law force. They both operate in the radial direction. Therefore they are either both real or they are both fictititious.
You can't have it both ways, and you know fine well that gravity is real. The force of gravity and the centrifugal force both operate together in the planetary orbital equation and they operate inside the same radial component. You cannot arbitrarily say that one of these two forces is fictitious and that the other is real. Radial repulsion is a reality. It is independent of whatever frame of reference we use. Tangential motion leads to radial repulsion. It doesn't matter that the radial vector is rotating. It still has a real effect and it causes gas pressure.
Do you seriously believe that the whole picture is going to change if you view it from cartesian coordinates? For a start, cartesian coordinates are hardly suitable for analyzing the radial force of gravity, so why bother at all? If you do it in cartesian coordinates, there still has to be a Newtonian gravitation component acting towards a fixed point. There will equally be a convective component acting in the opposite direction to the inward gravity. You cannot eliminate centrifugal force just by switching to cartesian coordinates. If something moves in an ellipse, then it moves in an ellipse irrespective of whatever coordinate system we use to describe it. If that ellipse involves an inward gravitational force to the fulcrum, then it must also involve an outward centrifugal force away from the fulcrum. Polar coordinates are the system most suited for this geometry. But because the centrifugal force is so transparent in polar coordinates, you are trying to pull the wool over my eyes and exhort me to look at it all in the much more complicated cartesian coordinate system. And you believe that if I were to read the book which you referred me to that I would be made to believe that cartesian coordinates could make the outward radial acceleration vanish?
And you even performed a conjuring trick! You used the general acceleration equation in polar coordinates without the inclusion of Newton's law of gravity and told me that it equals zero acceleration in the cartesian frame. Absolutely true. You then went even further and referred me to a big thick book just in case I was in any doubt. But your transformation had got nothing to do with the interplay of centrifugal force and Newtonian gravity within a radial differential equation. David Tombe 11th february 2007 ( 210.213.126.125 09:51, 11 February 2007 (UTC))
Our lines obviously crossed and you missed my latest insertion. Am I to read the textbook to convince myself that the general acceleration equation in polar coordinates in the absence of gravity is equal to zero acceleration in cartesian coordinates? I'm already convinced. But that is not the scenario that we are talking about. We are talking about the interplay between inward gravity and outward centrifugal force both contained within the rotating radial component.
Once it gets to the stage of trying to fob people off with big thick books it is usually a sign that they have no argument. It is a classical ploy of a cornered academic. David Tombe 11th February 2007 ( 210.213.126.125 10:28, 11 February 2007 (UTC))
Now we are into sophism. You referred me to a texbook in order to convince myself that the general acceleration equation in polar coordinates, in the absence of a gravitational force, is equal to zero acceleration in the cartesian frame. That fact is absolutely true. I was not disputing that fact, but it is not the scenario that we are debating. We are debating the interplay between centrifugal force and gravitational force. They both occur in the radial direction. The radial vector is rotating, but that can hardly make the centrifugal force fictitious and yet leave the gravitational force real.
You have ducked this issue. You have used the classic decoy ploy of referring me to a textbook for an irrelevancy. You are even continuing now by coming out with 'de jure' phrases such as that texbooks are a way of solving disputes. You are being presumptious that any textbook exists which contradicts what I am saying. Show me the textbook and the exact page number that says that the centrifugal force radially outwards is fictititious because the radial vector is rotating, but that the radially inward gravitational force is real even though the radial vector is rotating. David Tombe 11th February 2007 ( 210.213.126.125 11:16, 11 February 2007 (UTC))
No you can't go away at this stage of the argument. We were steadily homing into the conclusion. At first you guys were trying to deny that the centrifugal force appears in the planetary orbital equation. I then had to provide citations.
You have now accepted that the centrifugal force is present in the orbital equation. We know that it acts radially outwards, just as the Newtonian inverse square law component acts radially inwards. The allegation has now been made that the centrifugal force is fictitious because the radial vector is rotating. How come this same logic is not applied to Newton's law of gravity? Newton's law of gravity speaks of a radially inward force. For a tangentially moving object, that radial direction is rotating. Does that make gravity fictitious? Of course not. So why should the same line of reasoning make centrifugal force fictitious?
Can you not see the picture clearly when we home in on two particles with mutual tangential velocity? There will be a radial expansion. It doesn't matter if that radial vector is rotating. The expansion is a reality, and we live in a spherical universe. That expansion accounts for pressure in kinetic theory of gases.
Your concept of fictitious centrifugal force is very much mistaken. If centrifugal force is only an artifact of a rotating frame of reference, then how can it throw somebody against the inside door of a car? How can it invoke Archimedes' Principle in a centrifuge? Artifacts don't have such real effects.
It is of course possible to have a purely fictitious centrifugal force. A particle that is stationary in an inertial frame of reference will have an artificial circular motion in a rotating frame of reference. This artificial circular motion will have a fictitious centripetal force comprised of a fictitious centrifugal force outwards, and a fictitious Coriolis force inwards. (as you know, the Coriolis force is 2vω = 2r(ω^2)= 2 X the centrifugal force. Hence the fictitious centripetal force inwards is equal in magnitude to the fictitious centrifugal force outwards. But we really don't need to go into this hall of mirrors).
In standard rotating frame of reference theory, we obtain an inbuilt centrifugal force that applies to objects that are stationary within the rotating frame. These objects get flung out radially to the edge. But this is a real effect. It is not an artifact. The expansion of their radial vector from the fulcrum is due to a very real tangential velocity in the inertial frame. That radial expansion is a reality that is independent of any frame of reference.
If the physics establishment are confused about this, then I don't know what the solution should be for your Wikipedia article. The current article as it stands, and was made prior to any edits by myself, does at least acknowledge that centrifugal force has got a real dimension. It is however very confused, and it muddles up real scenarios with fictitious scenarios, as well as limiting the discussion to circular motion. There is no mention of hyperbolic orbital paths.
I'm certainly not going to continue a petty edit war. That was never my original intention. But I think that somebody should re-write the main page at some stage. This cannot happen until the main guardians of the page have accepted the reality of 'Real Centrifugal Force'.
When you have accepted that centrifugal force is a reality, you will be surprised what doors are opened up for you. You will be able to appreciate better the writings of the great masters such as Bernoulli and Maxwell. You might even be willing to open up your minds to the role of both real centrifugal force and real Coriolis force in magnetism.
Anyhow, as a bear minimum, I think that the page should be re-written in such a way as to acknowledge the fact that a dispute exists. Fictitious centrifugal force should be discussed, and so should real centrifugal force. At the moment, you have real centrifugal force catered for under the title of 'Reactive Centrifugal Force'. That is not too bad a way of describing it. It emphasizes the fact that it is felt when we restrain it. But it leaves people wondering how a fictitious artifact can actually be physically restrained in the first place. David Tombe 11th February 2007 ( 203.87.176.3 13:23, 11 February 2007 (UTC))
EMS, you are ducking the issue and trying to confuse it with coordinate frame transformations. Two objects with mutual tangential velocity will be accelerating apart. That is a real effect whether the acceleration vector is rotating or not.
There is no need to play the numbers game here and act like as if I am the only person who can see this simple fact. I am outnumbered at the moment by the guardians of the article. That proves nothing.
You are in total denial of a very simple fact. Show me two objects with mutual tangential velocity that are not accelerating apart from each other. David Tombe 11th february 2007 ( 203.87.176.3 17:02, 11 February 2007 (UTC))
Hi Henning, coordinate frames don't need to come into it at all, never mind coordinate frame transformations. All we need to look at is two objects that possess a mutual tangential speed. They will be accelerating away from each other. It is as simple as that. That is the basis of centrifugal repulsion. v^2/r is as fundamental as Newton's inverse square law of gravity. The two of them operate in tandem with each other along the line of connection between any two particles, and it leads to elliptic, parabolic, or hyperbolic orbits. It is of no concern that the radial vector joining the two particles happens to be rotating, yet you seem to think that this is indeed a matter of concern, but only for the centrifugal component.
Anyway, if we are going to use a coordinate frame, the polar coordinate frame is the most simple one to use. You said that I have a fixation about it? I have never seen orbital theory analyzed in anything other than polar coordinates. I'm sure it can be done in cartesian coordinates too. But why would you bother?
I can't believe that you think that a cartesian coordinate frame would cancel the outward centrifugal radial acceleration between the two objects. David Tombe 11th february 2007 ( 203.87.176.3 17:46, 11 February 2007 (UTC))
No WilyD, if you get thrown against the inside of the door of a swerving car, that is not a fictitious effect. That is a real effect. The car door was reacting against a radial acceleration in the inertial frame. Look at it from the perspective of the inertial frame of reference and there will be a real radial acceleration between the person and the centre of the circle of which the car's path forms part of. There will most certainly be objects inside that circle with which the passenger shares a mutual radial repulsion. You are totally mistaken when you say that there is absolutely no acceleration in the inertial frame.
The fundamental theory goes down to the tangential motion between any two particles, leading to a radial repulsion. If you walk past a lamp post in a straight line, there will be an outward radial acceleration between you and the lamp post. If we combine this outward radial centrifugal acceleration with the inward radial acceleration due to gravity, we will get a conic section solution. If gravity is very small compared to centrifugal force, the solution will be a hyperbola. In the case of a walker passing a lamp post, gravity will be negligible and the hyperbola will effectively become a straight line.
Even when the car is not swerving around a corner, the passenger will have radial acceleration relative to many objects but it will not be felt because the car is following the same straight line trajectory that the passenger would be following and hence it does not restrain the centrifugal force on the passenger. It's when the car swerves that it brings the door against the passenger and forces the passenger to swerve out of their natural straight line motion. The straight line motion, as I said earlier is the natural solution to centrifugal force and gravity when gravity is negligible.
The truth of the matter is that polar coordinates are actually the system of coordinates that best correspond to reality. It doesn't mean that they are the only correct kind of coordinates, but they are clearly the best system for transparency of the nature of space.
I think the problem that you guys are having is accepting the idea that radial acceleration is an ongoing reality between most particles even if there is no acceleration in the cartesian frame. It is the reality of this radial acceleration which you are failing to notice. In everyday life it doesn't seem relevant. But when we expand it into the large scale, it leads to a picture of ellipses, parabolae and hyperbolae. David Tombe 11th February 2007
ems57fcva, orbital dynamics can be done purely kinematically. There is absolutely no reason to have to involve force at all. However if you so wish, you can convert a centrifugal acceleration into a centrifugal force simply by multiplying it by inertial mass. Let me quote you here,
"In addition, the references you cite do not make any claim that the radial acceleration is due to a force."
No claim is necessary. Multiply any acceleration by inertial mass and you have got a force. That is Newton's second law of motion.
Now let's look at another of your quotes,
"It has already been explained to you that all orbits can be derived by assuming inertia and the inverse square law for gravity in Newtonian physics."
This is arrant nonsense. If there is no centrifugal force in the orbital equation, you will not get elliptical, parabolic, or hyperbolic solutions. It is ludicrous to suggest that inertia can substitute for the vital v^2/r expression in the differential equation. It is also untrue to say that this has already been explained to me. It was never explained to me and I doubt if it could possibly be explained to anybody. I'd be more than happy if you could show me the derivation of conic orbits using inertia but no centrifugal force. David Tombe 12th February 2007
If an object has a centrifugal acceleration, multiply it by its mass and you will obtain the centrifugal force. David Tombe 14th April 2007 ( 61.7.159.15 16:14, 14 April 2007 (UTC))
The basic equation F = ma tells us absolutely nothing. We need to know the expressions for a before we can even begin to solve the trajectory. David Tombe 14th April 2007 ( 61.7.159.15 16:14, 14 April 2007 (UTC))