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![]() "Henri Wilson" HW@.... wrote in message ... On Tue, 03 Jul 2007 02:31:52 -0700, George Dishman wrote: On 3 Jul, 03:22, HW@....(Henri Wilson) wrote: On Mon, 02 Jul 2007 06:48:25 -0700, George Dishman wrote: Of course they are, the same equations apply. Multiplication is associative so modulating white light by a sine wave is exactly the same as modulating a sine wave carrier with a white noise signal - e.g. voice on AM. voice is not white noise George. Aspirates henry, but stop changing the subject, it should be obvious that they are as easily definable mathematically as conventional sidebands on an AM radio. Not very convincing George. It's called the "Commutative Law" in maths, a*b = b*a. Yes, as I said above, both apply and ADoppler is the extra factor beyond VDoppler that only appears in ballisitic theory. ADoppler is usually by far the dominant factor. Forget the mantra Henry and think. We have proved there is no ADoppler on pulsars and for contact binaries where the speeds are the highest and ADoppler should show up. Both have a fixed 'sphere' around them. All light leaves at about the same speed, c wrt the barycentre of the pair. Look at your Basic program again, you insisted the spheres were separate and moving in the bottom picture. If you look at the radius curves, there is no ADoppler on Cepheids either, so no, it is not "usually .. dominant", it is non-existent in every case we have examined. Where did you get that idea? Mental block Henry, I've told you dozens of times. That's OK, you need to match the radius curve for this example. That will resolve whether there is any ADoppler effect or if it is only VDoppler. VDoppler can't produce large magnitude changes like these. I know, ballistic theory cannot explain Cepheid curves. Quite wrong George. Fact Henry, though apparently your inability to accept you have been in error prevents you realising it. I have explained all that I have tried to match. Nope, I have ignored that as we agreed some weeks ago. I am simply differentiating the radius to get the velocity and then the acceleration. You aren't using it as an indicator of bunching (or photon density). Yes I am, I am comparing it against the luminosity curve which is a direct count of photons in a given band. You clearly don't understand the principle involved. Mental problems again? Remember I had to write the BaTh equation for speed equalisation for you, I understand the principles far better than you. which IS velocity dependent....h.(c+v)/lambda. You are completely ignoring the principle factor involved, which is 'number of photons arriving per second'. On the contrary, that is the only factor I am considering at the moment. You aren't considering the bunching effect due to velocity differences. Yes I am, that is the ADoppler part which should be proportional to the top of my three plots, but the curve shape is completely wrong - that shows there is no ADoppler. George, think about this: A B C 1__2___3____4_____5______6____-v,a D An accelerating source emits pulses of light at equal time intervals at the points shown. The speed of each pulse is c wrt its source. You can easily imagine how the pulses bunch together as they approach the three points A, B, C and D. I think ".. the three points A, B, C and D." have been messed up by Usenet. Just consider point D, we are only interested in the radial components and any transverse component of the speed affects the radial only via Pythagoras as a second order speed term so changes the result by less than one part per million. You can see that the pulse density distribution at A, B, C and D can be manipulated by curving the path of the source. Nothing you are saying is relevant to this process. Think again. Consider points 1 through 6 as the surface of the star as it expands away from the centre. The photon rates you will calculate will depend on the speed and acceleration of the surface, both of which can be found by differentiating the radius. That's a good one George.... It's your own Henry, do the sums. f'=f(c+v)/c OK, now apply that to the carrier and sideband frequencies independently. Then inverse transform the three to get the received waveform. What speed does the modulation travel at? Show your working ;-) I don't see the point. What are you getting at. Yet again Henry, consideration of sidebands allows you to calculate the Doppler shift directly from the speed of modulating pulses hence a speed of c+v determines the shift. You don't have a model for individual photons. I don't need a model, I just need to know that they deflect by the same angle as the classical wave on hitting a grating which is proved by the photomultiplier experiment. Again this is something I have pointed out dozens of times. When are you going to stop trying to change the subject and address the proof? Again, that is true only if the speed equalisation distance is large so that it travels a long way through the ISM at variable speed. The same is true without the sphere if the light so again it still appears redundant. NO NO NO!!!!!. You are quite wrong there George. The sphere effectively becomes the source. If it moves with the star, then the original c+v relationship with Earth holds. Exactly, so what is the difference from saying it leaves the star at c+v? But George, if TWO stars are in close orbit, the common sphere remains vurtually at rest wrt both. You spent a long time telling me there were two spheres and each moved with its parent star. You lost the plot somewhere. No I haven't. The spheres aren't rigid steel balls.... they behave more like a gas and their effect probably drops off with an inverse square law. Go back and read your posts again. Their contributions are additive so two equally sized orbiting stars will end up with an almost steady sphere with a couple of small circulating bumps.. ALL light leaves that sphere at about c wrt the sphere and NOT at c wrt each star. There is very little if any 'c+v'. The light from both leaves at c/n...but is wavelength shifted dring the unification process. Surely you can see this. Yep, but the same is true if the light changes to speed c at surface of the heliopause as it moves into the ISM so what does the sphere do? I just explained. What you said still doesn't have any effect. Perhaps you should calculate the result before guessing any more. You are right, I can't see why you think it makes any difference. see above. It makes a difference in cases like contact binaries. You said the sphere moved with the star. For a single star or a well separated pair, that is true. The sphere makes little or no difference to the speed of light leaving the system. Have a look at your Basic animation, the bottom diagram. ... what I said was that we know there are no errors in the derivation of the predicted angle from the respective theories and they give different answers. Ther is an optical lens effect anyway. That's what we are talking about, effectively Newton predicts twice the focal length for a given mass. I meant an atmospheric lens as well as the gravitational one. That doesn't come into the maths of GR or Newton, they give different predictions. I say much of the bending is optical rather than gravitational. Nope, it's less than a millionth of the gravitational bend (from memory, Craig Markwardt posted the details about a year or more ago in reply to Sean). You can easily separate the effects since the optical is frequency dependent while gravitational is not. I say that my 'spheres' also bend light. I repeat, I suggest you go and look ;-) I have .http://www.users.bigpond.com/hewn/stupidjerry.jpg is typical It doesn't show a radius curve. Why should it? You have lost the plot Henry, the conversation is about comparing the first and second derivatives of the radius to the luminosity to find out whether ballistic theory says it is VDoppler or ADoppler. It shows typically observed cepheid brightness curves. You are missing the whole point. You are becoming quite clueless George. Since you can't even work out what was being calculated, it is you who needs the clue - see above. George, I'll let the computer calculatebthe bunching. Let me give you the clue again - we were talking about differentiating the radius to get the radial velocity. You have wandered off on all sorts of tangents. No, YOU have.... Exactly, so stop trying to change the subject. because you are starting to realise that I'm right. ROFL, Henry ballistic theory gets _every_ prediction wrong unless it the source is at rest. You claimed that Cepheid luminosity variation was produced by ADoppler so I have pointed out that is not true because the curve matches the shape of the velocity, not the acceleration of the surface. As you of course realise, it is also three orders of magnitude too small but that's another matter, you said you were just matching the shapes and on that basis alone, only VDoppler gives a match. Again, You are becoming quite clueless George. Simple statement of fact Henry. Even Max Keon thinks you are losing it. Have a look at Max's first attempts at writing equations, he though he needed two, one for negative numbers and another for positive. Both took the square root of a square. He didn't know the associative, distributive and commutative laws until I pointed him at K12 pages. His maths is way behind yours! It could still be pretty good then. If you consider not knowing the level expected of a 12 year old "good" for an adult. The derivatives of the radius I am discussing are a couple of years ahead of that and you don't seem to be able to understand them even after I drew the plots for you. So find one that gets eclipsed at the fundamental. Statistically there must be many. I would like to find one. Exactly, without them you have a problem to explain. I don't have any problems. You do, there are thousands of Cepheids known so if they were binaries, many should be eclipsing but none are. I can simulate eccentricity and yaw angle to within a few percent. Not without a companion. Yes you do, you have nothing to compare against the radius. The radial velocity of the surface of a star that goes 'huff puff' is very similar to that of one in elliptical orbit. You think? So add the curve to your software and let's see it. That's how it works already. So add the curve and let's see what it predicts, what's your problem? Except for one thing George. VDoppler variations are minute. ADoppler can easily produce variations up to mag 4. However, differentiating the radius twice is nothing like the luminosity curve, it only matches the velocity. George, your own suggested method of calculating photon bunching matches just about any brightness curve. Don't try to change the subject Henry. I thought you would be impressed. You actually achieved something. You method is faster than mine even if it is considerably harder to program. It produces exactly the same results. Flattery won't work either. I repeat: However, differentiating the radius twice is nothing like the luminosity curve, it only matches the velocity. However, differentiating the radius twice is nothing like the luminosity curve, it only matches the velocity. Got it yet, or won't your mental state allow you to respond to that point? You are referring to the TRUE radius variation. It is the OBSERVED variation that matters. I am referring to the radius measured by means of the angle subtended by the star so I don't see what distinction you are drawing. OK, some people have claimed to have seen cepheids actually pulsating. For goodness sake Henry, what do you think we have been talking about for the last several weeks ????? The ESO page is exactly that measurement. There might be stars that actually do that and it might indeed be possible to see them....but I would be very suspicious.. Welcome to the conversation. I don't think anyone has actuallyseen the radius pulsating. Yes they have: http://tinyurl.com/239mw6 The red dots with vertical error bars are the measured angular diameter in milli arc seconds. Multiply by the distance to get radius and differentiate to get surface velocity. Alternatively integrate the measured velocity curve obtained spectroscopically and you get the background smooth curve. That is what we have been talking about for a couple of weeks now so if you have finally grasped the plot, maybe you can say something sensible about it this time. Go ahead then, add the radial distance curve, match it to the radius curve for L Car and "let your program provide the answers". Again, all you are considering is the h.c/lambda energy effect.....not the 'photon density' one. Nope, you are lost entirely. I am discussing the measured luminosity and CCD detectors are photon counters, not sensitive to the energy. None of this discussion has been related to photon energy at any point. Just let the computer do the sums and produce the curves George. My program is corrrect. ROFL, I have pointed out the error in it many, many times. There is no error. Even your own suggested method produces the right answers. Sure, but you only use that method on one curve when it applies to both, your "measured velocity" curve is wrong. Incidentally, I have now included the effects of tidal bulges and have found that their effects are very similar to those of a first overtone. I have matched some brightness curves very closely. Worthless until you match the radius at the same time, or find an eclipser so you can match the phase, As you admitted, you can just as easily match a curve with VDoppler as with ADoppler George, for most 'cepheids' the radius is constant. Nope, the ESO chart for L Car is how a typical Cepheid behaves. Note also, if you differentiate the radius, you get the speed of the surface relative to the barycentre of the star. Subtract that from the observed velocity curve and you get the velocity of the barycentre and guess what, since they are the same, there is no observed motion of the barycentre at the luminosity period. Most cepheids are merely stars in orbit around something dark. Many are egg shaped, due to tidal effects. If you want anyone to believe a simple binary system has been mistaken for a variable-radius Cepheid then you will need to show a discrepancy between the derivative of the angular radius and the spectroscopic velocity. There is none for L Car and no reason to think it isn't entirely typical. George |
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