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![]() "Henri Wilson" HW@.... wrote in message ... On 23 Feb 2007 01:45:05 -0800, "George Dishman" wrote: On 23 Feb, 09:07, HW@....(Henri Wilson) wrote: .... It could easily be generated in radiation belts around the whole binary system. That might act as a local EM reference frame You still haven't learned what "reference frame" means. Don't be silly George. I am using the term loosely here. You are using it completely wrongly here. The actual reference frame is that of the barycentre. I'm saying there is a surrounding 'field' of some description that is virtually at rest wrt the barycentre and which tends to unify the speed of all light inside the region to 'c' WRT the region. I say 'tends to' becuase its effect must obviously taper off with distance from the centre. When I said the field 'constitutes a local reference frame' I mean 'the field defines the same frame as the barycentre' and can be used as a reference for light speed. It is just as legitimate to say 'speed wrt the barycentre' as 'speed wrt the field'. They have the same meaning. Utter garbage. You say later: The origin of this frame is the barycentre of the pair. The origin of a frame is whatever origin you use for the measured values. I didn't mean 'origin' as in 0,0 on a graph. That's essentially what "reference frame" means, though it doesn't imply a specific style of graph paper. It means nothing more than the refernce point for measurements. I meant the frame owes its existence to the fact that there is a definable centre of mass for the whole system. No, a frame owes its existence to the fact that someone has decided to choose a particular reference point for his graph paper. and unify the emitted light speeds. We are assuming its speed wrt Earth varies between about c+/- 0.00009. No, we are taking as a given that the time between pulse arrivals varies by about 90 parts per million. Some of that variation is due to the velocity but some will be due to c+v pulses catching up to c-v pulses a little in the time before extinction equalises their speeds. ...and that results in exactly the same doppler shift as your own model. What do you mean by my "own model", SR or my corrections to your Ritzian version? SR. The only basic difference is that for small values of v, one uses the equation (c+v)/c and the other c/(c-v). No, both those are for sound or a Galilean aether. For SR the formula is sqrt((c+v)/(c-v)) as confirmed by Ives and Stilwell. If frequency f is transmitted and received as f' then: f'/f = (c+v)/c Define df = f' - f df/f = v/c For v c both c/(c-v) and sqrt((c+v)/(c-v)) give the same expression with slight differences in the second order part. Hence publications use a simple convention when changing Doppler to radial speed: v/c = df/f That's what you need to do in your program. .... You are still using an iterative method when a direct calculation would do the job. It suggests you aren't really comfortable with this level of maths. George, I DO use an equation. ...the sum of the above GP. The problem is, every sample point around the orbit has a different value for v. I am suggesting you only need to calculate t = vR/c^2 for the value of v at each point rather than your iterative sum at each point. Sorry, I'm not with you. What's R? It has dimensions of length. I can't see an extinction RATE anywhere there. The rate would be a function of time so as an exponential it would include exp(-t/T) where T is some constant. The speed difference would fall to 1/e or 37% in time T. As a function of distance the term is exp(-t/R) where R is the distance travelled in time T. Again the speed difference would fall to 1/e or 37% in distance R. We'll see when you un-normalise the curves, I hadn't realised you did that and thought you meant the physics made their height the same. Their heights ARE almost the same for small magnitude variations. Without extinction, the amplitude of the red curve cannot be any greater than that of the blue one. That is where you are wrong, without extinction the red curve increases with distance until the peaks reaches c at the critical distance. With extinction the red curve starts rising above the blue but is asymptotic to a constant curve and will be close to that at several times the extinction distance. George I think we are talking about different things again. I'll explain what the two curves represent. The blue one is the true c+v lightspeed wrt a flat plane normal to the observer LOS and close to the source. (We can ignore travel time across the orbit). It is the true velocity at that time so "travel time across the orbit" doesn't come into it, but yes we both understand what the curve represents. The program assumes that hypothetical pulses of equal brightness are emitted at regular time intervals by the source as it orbits. At the observer distance, these pulses arrive in different concentrations, due to bunching. Again we both understand that. Now what the red curve is supposed to be is the "observed source velocity". I put that in quotes because we cannot actually measure the source velocity directly so what is done is the recedived pulse rate is published as a velocity by applying the convention v/c = df/f. Your program calculates the concentration of the pulses so all you need to do is scale that as velocity and display it as the red curve. The program divides the orbit period into 500 equal time intervals and counts the number of pulses that arrive at the observer in each interval. This is a direct indicator of apparent brightness variation. It is also the value that is used to work out the velocity in actual observations. The red curve is derived by averaging the true SOURCE velocities of all the pulses that arrive in each particular interval. That is where your error lies. The maximum of the blue curve is c+v. So the maximum of the red curve can never be higher than that. Yes it can, the bunching due to acceleration causes a false velocity to be calculated using v/c = df/f which can produce significantly higher values. Certainly there are points on the red curve that are higher than those of the blue at the same phase....but that's not the issue. It is actually, the acceleration part is 90 degrees out of phase with the velocity (more complex for an elliptical orbit) and the observed phase is a mix of the two. That's what we want to predict which is why you need to correct your calculation. George |
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On Sun, 25 Feb 2007 10:32:32 -0000, "George Dishman"
wrote: "Henri Wilson" HW@.... wrote in message .. . On 23 Feb 2007 01:45:05 -0800, "George Dishman" wrote: On 23 Feb, 09:07, HW@....(Henri Wilson) wrote: ... It could easily be generated in radiation belts around the whole binary system. That might act as a local EM reference frame You still haven't learned what "reference frame" means. Don't be silly George. I am using the term loosely here. You are using it completely wrongly here. The actual reference frame is that of the barycentre. I'm saying there is a surrounding 'field' of some description that is virtually at rest wrt the barycentre and which tends to unify the speed of all light inside the region to 'c' WRT the region. I say 'tends to' becuase its effect must obviously taper off with distance from the centre. When I said the field 'constitutes a local reference frame' I mean 'the field defines the same frame as the barycentre' and can be used as a reference for light speed. It is just as legitimate to say 'speed wrt the barycentre' as 'speed wrt the field'. They have the same meaning. Utter garbage. You say later: The origin of this frame is the barycentre of the pair. The origin of a frame is whatever origin you use for the measured values. I didn't mean 'origin' as in 0,0 on a graph. That's essentially what "reference frame" means, though it doesn't imply a specific style of graph paper. It means nothing more than the refernce point for measurements. Oh Dear! ...and I thought I had been conversing with somebody who was a little more intelligent than the others.... Have another think George. I meant the frame owes its existence to the fact that there is a definable centre of mass for the whole system. No, a frame owes its existence to the fact that someone has decided to choose a particular reference point for his graph paper. Load of crap George. A frame is not a POINT. A frame is everything at rest wrt a defined point....All frames are infinite. and unify the emitted light speeds. We are assuming its speed wrt Earth varies between about c+/- 0.00009. No, we are taking as a given that the time between pulse arrivals varies by about 90 parts per million. Some of that variation is due to the velocity but some will be due to c+v pulses catching up to c-v pulses a little in the time before extinction equalises their speeds. ...and that results in exactly the same doppler shift as your own model. What do you mean by my "own model", SR or my corrections to your Ritzian version? SR. The only basic difference is that for small values of v, one uses the equation (c+v)/c and the other c/(c-v). No, both those are for sound or a Galilean aether. For SR the formula is sqrt((c+v)/(c-v)) as confirmed by Ives and Stilwell. If frequency f is transmitted and received as f' then: f'/f = (c+v)/c Define df = f' - f df/f = v/c For v c both c/(c-v) and sqrt((c+v)/(c-v)) give the same expression with slight differences in the second order part. Hence publications use a simple convention when changing Doppler to radial speed: v/c = df/f That's what you need to do in your program. My program is correct...and I don't predict speeds, I use the published figures. The doppler equations for BaTh, LET and SR are virtually identical for small v. I am suggesting you only need to calculate t = vR/c^2 for the value of v at each point rather than your iterative sum at each point. Sorry, I'm not with you. What's R? It has dimensions of length. I can't see an extinction RATE anywhere there. The rate would be a function of time so as an exponential it would include exp(-t/T) where T is some constant. The speed difference would fall to 1/e or 37% in time T. As a function of distance the term is exp(-t/R) where R is the distance travelled in time T. Again the speed difference would fall to 1/e or 37% in distance R. Using Time or length is virtually the same anyway. I use length for my xrate. I don't think the exponential approach is workable because the integral is definite. My series solution is far better. George I think we are talking about different things again. I'll explain what the two curves represent. The blue one is the true c+v lightspeed wrt a flat plane normal to the observer LOS and close to the source. (We can ignore travel time across the orbit). It is the true velocity at that time so "travel time across the orbit" doesn't come into it, but yes we both understand what the curve represents. The program assumes that hypothetical pulses of equal brightness are emitted at regular time intervals by the source as it orbits. At the observer distance, these pulses arrive in different concentrations, due to bunching. Again we both understand that. Now what the red curve is supposed to be is the "observed source velocity". I put that in quotes because we cannot actually measure the source velocity directly so what is done is the recedived pulse rate is published as a velocity by applying the convention v/c = df/f. Your program calculates the concentration of the pulses so all you need to do is scale that as velocity and display it as the red curve. No you are missing the point entirely. Forget pulsars for a minute. In BaTh, the pulse concentration is NOT a simple doppler effect. There is NO doppler shift at the source. The 'colour' of the light in the pulses DOES NOT change no matter how the pulses 'bunch' together. My program averages the 'source colour' of the light that arrives in a certain time interval. It uses that to produce the red curve. You are using the classical approach to claim that the two 'ends' of a photon will move at different speeds when and if emitted while their source is accelerating. You claim the ends will continue to move relatively are they travel. ...and end up with the same doppler pattern as the 'pulse bunching'. So for a photon to catch another, its rear end would catch its front, giving it zero length. (for constant aceleration, anyway) I say the 'length' of each emitted photon IS affected by the source's acceleration but that this ABSOLUTE length does not continue to change during inertial travel. I say it is as though a minute rigid rod connects each 'intrinsic wavecrest' of a photon. The lengths of those 'rods' will change only during an acceleration of the photon. The program divides the orbit period into 500 equal time intervals and counts the number of pulses that arrive at the observer in each interval. This is a direct indicator of apparent brightness variation. It is also the value that is used to work out the velocity in actual observations. Nah. It doesn't work like that. The red curve is derived by averaging the true SOURCE velocities of all the pulses that arrive in each particular interval. That is where your error lies. George, as a matter of interest I might investigate your claim further. It could only work for fairly small magnitude changes but might actually provide some interesting results. It would mean generally that observed velocities are much greater than the true ones. It might even explain why my predicted distances are always shorter then the official ones. If this is true and I don't need much 'unification' at all, then it will provide almost unassailable proof that the BaTh is correct. But I'm not very optimistic that it will.... The maximum of the blue curve is c+v. So the maximum of the red curve can never be higher than that. Yes it can, the bunching due to acceleration causes a false velocity to be calculated using v/c = df/f which can produce significantly higher values. Certainly there are points on the red curve that are higher than those of the blue at the same phase....but that's not the issue. It is actually, the acceleration part is 90 degrees out of phase with the velocity (more complex for an elliptical orbit) and the observed phase is a mix of the two. That's what we want to predict which is why you need to correct your calculation. You might be sorry you talked me into investigating this... George "When a true genius appears in the world, you may know him by this sign, that the dunces are all in confederacy against him." --Jonathan Swift. |
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![]() "Henri Wilson" HW@.... wrote in message ... On Sun, 25 Feb 2007 10:32:32 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message . .. On 23 Feb 2007 01:45:05 -0800, "George Dishman" wrote: On 23 Feb, 09:07, HW@....(Henri Wilson) wrote: ... It could easily be generated in radiation belts around the whole binary system. That might act as a local EM reference frame You still haven't learned what "reference frame" means. Don't be silly George. I am using the term loosely here. You are using it completely wrongly here. The actual reference frame is that of the barycentre. I'm saying there is a surrounding 'field' of some description that is virtually at rest wrt the barycentre and which tends to unify the speed of all light inside the region to 'c' WRT the region. I say 'tends to' becuase its effect must obviously taper off with distance from the centre. When I said the field 'constitutes a local reference frame' I mean 'the field defines the same frame as the barycentre' and can be used as a reference for light speed. It is just as legitimate to say 'speed wrt the barycentre' as 'speed wrt the field'. They have the same meaning. Utter garbage. You say later: The origin of this frame is the barycentre of the pair. The origin of a frame is whatever origin you use for the measured values. I didn't mean 'origin' as in 0,0 on a graph. That's essentially what "reference frame" means, though it doesn't imply a specific style of graph paper. It means nothing more than the refernce point for measurements. Oh Dear! ...and I thought I had been conversing with somebody who was a little more intelligent than the others.... Have another think George. I meant the frame owes its existence to the fact that there is a definable centre of mass for the whole system. No, a frame owes its existence to the fact that someone has decided to choose a particular reference point for his graph paper. Load of crap George. A frame is not a POINT. No Henry, but the origin is. A frame is everything at rest wrt a defined point....All frames are infinite. and unify the emitted light speeds. We are assuming its speed wrt Earth varies between about c+/- 0.00009. No, we are taking as a given that the time between pulse arrivals varies by about 90 parts per million. Some of that variation is due to the velocity but some will be due to c+v pulses catching up to c-v pulses a little in the time before extinction equalises their speeds. ...and that results in exactly the same doppler shift as your own model. What do you mean by my "own model", SR or my corrections to your Ritzian version? SR. The only basic difference is that for small values of v, one uses the equation (c+v)/c and the other c/(c-v). No, both those are for sound or a Galilean aether. For SR the formula is sqrt((c+v)/(c-v)) as confirmed by Ives and Stilwell. If frequency f is transmitted and received as f' then: f'/f = (c+v)/c Define df = f' - f df/f = v/c For v c both c/(c-v) and sqrt((c+v)/(c-v)) give the same expression with slight differences in the second order part. Hence publications use a simple convention when changing Doppler to radial speed: v/c = df/f That's what you need to do in your program. My program is correct... No Henry, it isn't. You have already agreed the reasons why it isn't correct. and I don't predict speeds, I use the published figures. Your graph is not comparable to the published figures because it does not calculate the value the way the observations are obtained. the published figures are based on the pulse rate alone, your aren't so your red curve is useless. The doppler equations for BaTh, LET and SR are virtually identical for small v. Not true. I am suggesting you only need to calculate t = vR/c^2 for the value of v at each point rather than your iterative sum at each point. Sorry, I'm not with you. What's R? It has dimensions of length. I can't see an extinction RATE anywhere there. The rate would be a function of time so as an exponential it would include exp(-t/T) where T is some constant. The speed difference would fall to 1/e or 37% in time T. As a function of distance the term is exp(-t/R) where R is the distance travelled in time T. Again the speed difference would fall to 1/e or 37% in distance R. Using Time or length is virtually the same anyway. I use length for my xrate. Exactly. I don't think the exponential approach is workable because the integral is definite. Wrong again Henry, my simple equation is the result of your sum. My series solution is far better. No, it is only an approximation to the value I gave you, but carry on using it if you like, it will give close to the right answer, just slower. George I think we are talking about different things again. I'll explain what the two curves represent. The blue one is the true c+v lightspeed wrt a flat plane normal to the observer LOS and close to the source. (We can ignore travel time across the orbit). It is the true velocity at that time so "travel time across the orbit" doesn't come into it, but yes we both understand what the curve represents. The program assumes that hypothetical pulses of equal brightness are emitted at regular time intervals by the source as it orbits. At the observer distance, these pulses arrive in different concentrations, due to bunching. Again we both understand that. Now what the red curve is supposed to be is the "observed source velocity". I put that in quotes because we cannot actually measure the source velocity directly so what is done is the recedived pulse rate is published as a velocity by applying the convention v/c = df/f. Your program calculates the concentration of the pulses so all you need to do is scale that as velocity and display it as the red curve. No you are missing the point entirely. Forget pulsars for a minute. No Henry we are talking _only_ about pulses for pulsars at the moment. There are other considerations when looking at spectral lines that will take a lot of sorting out but pulsars are straightforward because they are long, independent bursts of energy. You have already agreed all the relevant features, the gaps between pulses are affected by acceleration as are the pulse lengths so there is no doubt about the physics involved. All you need to do now is code it correctly. I'll be delighted to discuss otrher aspects once we finish with pulsars but I have spent several weeks discussing J1909-3744 with you to the point where we have agreed all that is needed. If you won't complete that topic, I am certain you won't complete any other discussion either so it's a waste of time starting. snip photon stuff until later The program divides the orbit period into 500 equal time intervals and counts the number of pulses that arrive at the observer in each interval. This is a direct indicator of apparent brightness variation. It is also the value that is used to work out the velocity in actual observations. Nah. It doesn't work like that. Yes it does, that's how the astronomers do it so that's what you have to do if your curve is to be comparable to their results. If you don't, you have no way to use the published data. The red curve is derived by averaging the true SOURCE velocities of all the pulses that arrive in each particular interval. That is where your error lies. George, as a matter of interest I might investigate your claim further. It could only work for fairly small magnitude changes but might actually provide some interesting results. It would mean generally that observed velocities are much greater than the true ones. Yes! That's why any attempt at using published data must be compared with a curve generated by the same method, your prgram must duplicate their technique. At present your outputs are worthless. You might be sorry you talked me into investigating this... I won't be sorry no matter what it produces. At the moment your program is unusable. I have a good idea of amplitudes but I am less confident of my guess about the phase shift it will produce so let's see what it does. George |
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On Sun, 25 Feb 2007 10:07:58 -0000, "George Dishman"
wrote: "Henri Wilson" HW@.... wrote in message .. . On Sat, 24 Feb 2007 21:45:21 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message No No No. For BaTh, the width of the actual pulses DOES NOT change after emission. The spacing between them DOES.....because they are moving at different speed wrt the Bcentre. Yes yes yes ![]() First, the pulses from J1909-3744 are 45us long. Think of opening the door on the front of an incinerator for a few seconds then closing it, all this on a planet in orbit round a star such that the planet is being accelerated towards a distant observer. That observer sees the thermal radiation from the fire appear, last a short time then vanish. According to ballistic theory, the radiation emitted just before the door closes travels faster than that emitted just after it opened. The tail of the pulse therefore catches up with the front so the length of the pulse shortens by exactly the same ratio as the gap between the pulses. Point taken .. Excellent. We now seem to be in full agreement on this issue. All that remains is for you to correct the program. Well the program is correct as far as producing brightness curves. What YOU are asking is that I predict the true velocity curve from the willusory one we obtain on Earth. Then, since my brightness curves are based on TRUE radial velocities and since my observed radial velocities are now to be based on the brightness curve, I will have to step by step, change the various parameters until I find the true radial velocity curve that results in my red curve looking like my brightness curve. I'm not sure this is possible. .. but there are several problem with what YOU say. Well let's see. Firstly that is only true if speed is constant wrt the source. That is the postulate of ballistic theory so it is not something you can question. This is where other people's comments apply, you cannot be selective about when you use the postulate and assume a speed independent of the source when the postulate gives an answer you don't like. In this orbiting situation, an acceleration is present.. Yes, it is that acceleration that causes the catch-up effect which (a) causes one pulse to catch up to the one ahead and (b) causes the tail of a pulse to catch up to the head. ..and a VARYING one.. Yes, the greatest cach-up is when the pulsar has the highest acceleration towards the observer. For a circular orbit that is when the pulsar is directly behind the companion (superior conjunction). That gives the high peak in the brightness while half an orbit later it causes a reduction in brightness as the pulses spread farther apart while travelling. ...meaning that the two ratios are NOT the same. No, the ratios are always the same but it means that ratio varies for light emitted at different places round the orbit. There is a second order accelertion effect that might be important. For instance the velocity ratio is not the same across a 100 nanosec pulse as it is across a 0.1 second pulse gap. Secondly it is not terribly clear what actually causes Pulsar pulses. That doesn't matter, the postulate of ballistic theory must still be applied. Not necessarily. There is some kind of interaction between the rotating magentic field and charged material EXTERNAL to the neutron star itself. There is no certainty that this material is rotating at the same rate as the star...more likely it is 'fixed'..... otherwise we wouldn't see sharp pulses at all. It might not even be rotating with the orbit of the pair. If that was the case the pulses would not show any Doppler at all. The whole pulsar system including the neutron star, the fields, any jets and so on are being moved in an orbit by the distant white dwarf and ballistic theory then tells you what the pulse spacing will be. Maybe...maybe not.. Second, and more important, nobody uses the width of the pulse to calculate the Doppler, they use the pulse frequency. I'm suggesting they should Tough, they don't. Your red line should be a prediction of what will be measured using the actual technique employed by radio astronomers so that it can be compared with the published curves. And astronomers wrongly assume that the red curve is always identical to the blue one....because Einstein said so... ....and according to you it should be the same... According to the postulate of ballistic theory they must be the same. I think I would also suggest there would be a ~90 degree phase shift between velocity curves produced by the two methods. Above you said "point taken". That point requires that they have the same ratio at all times so no phase shift is predicted by ballistic theory. You seem to be making a handwaving claim which contradicts your own theory. no...just jumping from one theory to another... Whether the width changes or not is therefore of no relevance, unless you use the gap times you won't get a curve that can be compared to published curves or data derived from them such as J1909-3744's published orbital parameters. It might be very relevant. Without precise knowledge of the manner in which the pulses are generated, I would not claim for certain that what you say is wrong in the case of pulsars...... but this is not a problem for my program because the ENERGY in each hypothetical pulse remains the same whether or not its width varies as it travels....and the program sums the energy arriving per unit time to produce brightness curves. I am not disputing your brightness curves. There are some subtleties in energy calculations in ballistic theory but they would have a very small effect. We may come across them later. Yes, I have thought of including KE ...but I think it's pretty negligible. For the moment, there is a gross error in your red line which needs to be corrected. Well I might see what I can do. ..just to make you happy. snip photons until the program is fixed for pulsars So the spacing...or bunching... is not a direct indicator of doppler shift or relative source velocity.. The PULSE WIDTH is. Apologies to others for apparent shouting but I'll use caps for emphasis as Henry has. No Henry, with ballistic theory NOTHING about the signal is indicative of the original velocity, but that doesn't matter anyway because NOBODY PUBLISHES VELOCITY CURVES BASED ON THE PULSE WIDTH. Because it is obviously rather more difficult...and besides, they don't want to reveal the fact that the answers seem quite different when they DO try. Nonsense, a lot of work goes into that but in most pulsars there is a lot of variability in the pulse for other reasons. Anyway, ballistic theory if correctly applied as above says the two factors should be the same. .....only according to the classical view. My photons don't have ends that continue to move. big snip - Henry the aspect of optical wavelengths is more complex and will totally confuse the issue if we get sidetracked so I'll leave it for another time. Let's finish the discussion of pulsars and get your program corrected. The program does not need correcting. Yes it does, you have agreed that above. The velocity curve needs to be derived from the pulse spacing because that is how astronomers measure the Doppler. This will take some time... It doesn't operate on pulse width...rather, pulse energy....and that's near enough to being constant. No, that's what you do for the brightness curve. You are confusing the two. The brightness curve is valid, the red velocity curve is not. ....we'll see. If we are both correct then ALL astronomy will be turned oinits head. It is correct the way it is. No, you said above "point taken" and that means the program is wrong as it stands. It wasn't designed for pulsars, George. However it is not set up for analysing pulsars because there are no 'brightness curves' available. You don't need a brightness curve, the velocity curve tells you all you need to know which is why you need to correct the red curve to make the program usable. If you want to keep your existing inaccurate version, just take a copy and correct that for the pulsars. That program will let you analysed the extinction length based on the velocity curve alone. I'll just add another function. It wont be that hard actually. George "When a true genius appears in the world, you may know him by this sign, that the dunces are all in confederacy against him." --Jonathan Swift. |
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![]() "Henri Wilson" HW@.... wrote in message ... On Sun, 25 Feb 2007 10:07:58 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message . .. On Sat, 24 Feb 2007 21:45:21 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message No No No. For BaTh, the width of the actual pulses DOES NOT change after emission. The spacing between them DOES.....because they are moving at different speed wrt the Bcentre. Yes yes yes ![]() First, the pulses from J1909-3744 are 45us long. Think of opening the door on the front of an incinerator for a few seconds then closing it, all this on a planet in orbit round a star such that the planet is being accelerated towards a distant observer. That observer sees the thermal radiation from the fire appear, last a short time then vanish. According to ballistic theory, the radiation emitted just before the door closes travels faster than that emitted just after it opened. The tail of the pulse therefore catches up with the front so the length of the pulse shortens by exactly the same ratio as the gap between the pulses. Point taken .. Excellent. We now seem to be in full agreement on this issue. All that remains is for you to correct the program. Well the program is correct as far as producing brightness curves. Yes, I have always agreed that. What YOU are asking is that I predict the true velocity curve from the willusory one we obtain on Earth. Then, since my brightness curves are based on TRUE radial velocities and since my observed radial velocities are now to be based on the brightness curve, I will have to step by step, change the various parameters until I find the true radial velocity curve that results in my red curve looking like my brightness curve. I'm not sure this is possible. All you do is change the program to create the red curve from the blue speeds using ballistic theory to predict the arrival rate (which the program already does) and then calculate the apparent (or "willusory") radial speed in the same way as the radio astronomers do. For low speeds, which is all we ever see, you can just use v/c = df/f so for J1909-3744 it's about +/- 90 parts per million of c. The green curve is logarithmic and in magnitudes while the red curve is linear and in units of km/s. All that is certainly possible, in fact almost trivial as you have already done the hard part, finding the received pulse rate. If you mean getting the parameters to match may not be possible, that would just say ballistic theory was wrong. However, you will be able to get a match with a sufficiently low extinction because in the limit is becomes SR. .. but there are several problem with what YOU say. Well let's see. Firstly that is only true if speed is constant wrt the source. That is the postulate of ballistic theory so it is not something you can question. This is where other people's comments apply, you cannot be selective about when you use the postulate and assume a speed independent of the source when the postulate gives an answer you don't like. In this orbiting situation, an acceleration is present.. Yes, it is that acceleration that causes the catch-up effect which (a) causes one pulse to catch up to the one ahead and (b) causes the tail of a pulse to catch up to the head. ..and a VARYING one.. Yes, the greatest cach-up is when the pulsar has the highest acceleration towards the observer. For a circular orbit that is when the pulsar is directly behind the companion (superior conjunction). That gives the high peak in the brightness while half an orbit later it causes a reduction in brightness as the pulses spread farther apart while travelling. ...meaning that the two ratios are NOT the same. No, the ratios are always the same but it means that ratio varies for light emitted at different places round the orbit. There is a second order accelertion effect that might be important. I don't believe there is a second order term but again it must be the same for both pulse period and pulse width. For instance the velocity ratio is not the same across a 100 nanosec pulse as it is across a 0.1 second pulse gap. Secondly it is not terribly clear what actually causes Pulsar pulses. That doesn't matter, the postulate of ballistic theory must still be applied. Not necessarily. Yes necessarily, if that's the way your theory says light behaves then it always behaves that way. That's what scientific tesing is all about. If your theory gives a wrong prediction, you cannot just use SR for the bits where ballistic is wrong. There is some kind of interaction between the rotating magentic field and charged material EXTERNAL to the neutron star itself. There is no certainty that this material is rotating at the same rate as the star...more likely it is 'fixed'..... otherwise we wouldn't see sharp pulses at all. It might not even be rotating with the orbit of the pair. If that was the case the pulses would not show any Doppler at all. The whole pulsar system including the neutron star, the fields, any jets and so on are being moved in an orbit by the distant white dwarf and ballistic theory then tells you what the pulse spacing will be. Maybe...maybe not.. Maybe, maybe not, but any alternative must explain the perceived Doppler by applying the postulate of ballistic theory whatever that implies. Second, and more important, nobody uses the width of the pulse to calculate the Doppler, they use the pulse frequency. I'm suggesting they should Tough, they don't. Your red line should be a prediction of what will be measured using the actual technique employed by radio astronomers so that it can be compared with the published curves. And astronomers wrongly assume that the red curve is always identical to the blue one....because Einstein said so... So here's your chance to prove it. Just fix the program. ....and according to you it should be the same... According to the postulate of ballistic theory they must be the same. I think I would also suggest there would be a ~90 degree phase shift between velocity curves produced by the two methods. Above you said "point taken". That point requires that they have the same ratio at all times so no phase shift is predicted by ballistic theory. You seem to be making a handwaving claim which contradicts your own theory. no...just jumping from one theory to another... Ah, you meant "produced by the two /theories/", not mrethods. OK. Whether the width changes or not is therefore of no relevance, unless you use the gap times you won't get a curve that can be compared to published curves or data derived from them such as J1909-3744's published orbital parameters. It might be very relevant. Without precise knowledge of the manner in which the pulses are generated, I would not claim for certain that what you say is wrong in the case of pulsars...... but this is not a problem for my program because the ENERGY in each hypothetical pulse remains the same whether or not its width varies as it travels....and the program sums the energy arriving per unit time to produce brightness curves. I am not disputing your brightness curves. There are some subtleties in energy calculations in ballistic theory but they would have a very small effect. We may come across them later. Yes, I have thought of including KE ...but I think it's pretty negligible. That's it. For the moment, there is a gross error in your red line which needs to be corrected. Well I might see what I can do. ..just to make you happy. Cool. The last several weeks of discussion will have been totally pointless if you don't and I have better things to do with my time (as the wife keeps telling me). Anyway, ballistic theory if correctly applied as above says the two factors should be the same. ....only according to the classical view. My photons don't have ends that continue to move. We don't agree on that aspect but it needn't come into consideration of pulsars at this stage. big snip - Henry the aspect of optical wavelengths is more complex and will totally confuse the issue if we get sidetracked so I'll leave it for another time. Let's finish the discussion of pulsars and get your program corrected. The program does not need correcting. Yes it does, you have agreed that above. The velocity curve needs to be derived from the pulse spacing because that is how astronomers measure the Doppler. This will take some time... It doesn't operate on pulse width...rather, pulse energy....and that's near enough to being constant. No, that's what you do for the brightness curve. You are confusing the two. The brightness curve is valid, the red velocity curve is not. ...we'll see. If we are both correct then ALL astronomy will be turned oinits head. It is correct the way it is. No, you said above "point taken" and that means the program is wrong as it stands. It wasn't designed for pulsars, George. It was designed for accelerated sources of EM so it should work for them too. However it is not set up for analysing pulsars because there are no 'brightness curves' available. You don't need a brightness curve, the velocity curve tells you all you need to know which is why you need to correct the red curve to make the program usable. If you want to keep your existing inaccurate version, just take a copy and correct that for the pulsars. That program will let you analysed the extinction length based on the velocity curve alone. I'll just add another function. It wont be that hard actually. OK, as long as you can get some screenshots, it doesn't matter how you go about it. Thanks for doing that Henry. George |
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On Sun, 25 Feb 2007 23:43:54 -0000, "George Dishman"
wrote: "Henri Wilson" HW@.... wrote in message .. . On Sun, 25 Feb 2007 10:32:32 -0000, "George Dishman" That's essentially what "reference frame" means, though it doesn't imply a specific style of graph paper. It means nothing more than the refernce point for measurements. Oh Dear! ...and I thought I had been conversing with somebody who was a little more intelligent than the others.... Have another think George. I meant the frame owes its existence to the fact that there is a definable centre of mass for the whole system. No, a frame owes its existence to the fact that someone has decided to choose a particular reference point for his graph paper. Load of crap George. A frame is not a POINT. No Henry, but the origin is. A velocity reference frame - that's what we are talking about - doesn't have an origin, George. df/f = v/c For v c both c/(c-v) and sqrt((c+v)/(c-v)) give the same expression with slight differences in the second order part. Hence publications use a simple convention when changing Doppler to radial speed: v/c = df/f That's what you need to do in your program. My program is correct... No Henry, it isn't. You have already agreed the reasons why it isn't correct. It's correct in rspect of what it is intended to do. It wasn't designed to determine the velocity curves of pulsars. and I don't predict speeds, I use the published figures. Your graph is not comparable to the published figures because it does not calculate the value the way the observations are obtained. the published figures are based on the pulse rate alone, your aren't so your red curve is useless. OK, I will assume the published curve is symmetrical, indicating a very circular orbit. I know the calculated limits. The doppler equations for BaTh, LET and SR are virtually identical for small v. Not true. ....and why not? You just provided the SR one. Can't you do the maths that shows it's the same as the BaTh and LET equation for small v. I am suggesting you only need to calculate t = vR/c^2 for the value of v at each point rather than your iterative sum at each point. Sorry, I'm not with you. What's R? It has dimensions of length. I can't see an extinction RATE anywhere there. The rate would be a function of time so as an exponential it would include exp(-t/T) where T is some constant. The speed difference would fall to 1/e or 37% in time T. As a function of distance the term is exp(-t/R) where R is the distance travelled in time T. Again the speed difference would fall to 1/e or 37% in distance R. Using Time or length is virtually the same anyway. I use length for my xrate. Exactly. I don't think the exponential approach is workable because the integral is definite. Wrong again Henry, my simple equation is the result of your sum. My series solution is far better. No, it is only an approximation to the value I gave you, but carry on using it if you like, it will give close to the right answer, just slower. I doubt if it is any slower. Its takes almost negligible time anyway. The program assumes that hypothetical pulses of equal brightness are emitted at regular time intervals by the source as it orbits. At the observer distance, these pulses arrive in different concentrations, due to bunching. Again we both understand that. Now what the red curve is supposed to be is the "observed source velocity". I put that in quotes because we cannot actually measure the source velocity directly so what is done is the recedived pulse rate is published as a velocity by applying the convention v/c = df/f. Your program calculates the concentration of the pulses so all you need to do is scale that as velocity and display it as the red curve. No you are missing the point entirely. Forget pulsars for a minute. No Henry we are talking _only_ about pulses for pulsars at the moment. There are other considerations when looking at spectral lines that will take a lot of sorting out but pulsars are straightforward because they are long, independent bursts of energy. You have already agreed all the relevant features, the gaps between pulses are affected by acceleration as are the pulse lengths so there is no doubt about the physics involved. All you need to do now is code it correctly. ...and this will be fun... I'll be delighted to discuss otrher aspects once we finish with pulsars but I have spent several weeks discussing J1909-3744 with you to the point where we have agreed all that is needed. Pulsar PSR 1913+16 is another good one...but I have never seen so much relativistic rubbish in my life as that from Hulse and Taylor. If you won't complete that topic, I am certain you won't complete any other discussion either so it's a waste of time starting. snip photon stuff until later The program divides the orbit period into 500 equal time intervals and counts the number of pulses that arrive at the observer in each interval. This is a direct indicator of apparent brightness variation. It is also the value that is used to work out the velocity in actual observations. Nah. It doesn't work like that. Yes it does, that's how the astronomers do it so that's what you have to do if your curve is to be comparable to their results. If you don't, you have no way to use the published data. Individual photons don't behave like pulsar pulses. The latter contain many photons that can move relatively. The red curve is derived by averaging the true SOURCE velocities of all the pulses that arrive in each particular interval. That is where your error lies. George, as a matter of interest I might investigate your claim further. It could only work for fairly small magnitude changes but might actually provide some interesting results. It would mean generally that observed velocities are much greater than the true ones. Yes! That's why any attempt at using published data must be compared with a curve generated by the same method, your prgram must duplicate their technique. At present your outputs are worthless. My outputs are NOT intended for analysing pulsar pulses. You might be sorry you talked me into investigating this... I won't be sorry no matter what it produces. At the moment your program is unusable. I have a good idea of amplitudes but I am less confident of my guess about the phase shift it will produce so let's see what it does. Now you're being stupid again. My program does exactly what it is designed to do and it does it ACCURATELY. George "When a true genius appears in the world, you may know him by this sign, that the dunces are all in confederacy against him." --Jonathan Swift. |
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On Mon, 26 Feb 2007 00:15:09 -0000, "George Dishman"
wrote: "Henri Wilson" HW@.... wrote in message .. . On Sun, 25 Feb 2007 10:07:58 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message ... be based on the brightness curve, I will have to step by step, change the various parameters until I find the true radial velocity curve that results in my red curve looking like my brightness curve. I'm not sure this is possible. All you do is change the program to create the red curve from the blue speeds using ballistic theory to predict the arrival rate (which the program already does) and then calculate the apparent (or "willusory") radial speed in the same way as the radio astronomers do. For low speeds, which is all we ever see, you can just use v/c = df/f so for J1909-3744 it's about +/- 90 parts per million of c. Well I'll look into it. The green curve is logarithmic and in magnitudes while the red curve is linear and in units of km/s. I can print it as linear . All that is certainly possible, in fact almost trivial as you have already done the hard part, finding the received pulse rate. It isn't trivial. The red curve should always match the green one. I have to find the blue curve that makes this happen. If you mean getting the parameters to match may not be possible, that would just say ballistic theory was wrong. However, you will be able to get a match with a sufficiently low extinction because in the limit is becomes SR. It isn't going to prove the BaTh wrong whatever the outcome. Pulses aren't photons. No, the ratios are always the same but it means that ratio varies for light emitted at different places round the orbit. There is a second order accelertion effect that might be important. I don't believe there is a second order term but again it must be the same for both pulse period and pulse width. George, slow it down a bit. Consider what happens if the orbit period is, say, 50 hours and the pulse emission rate once per hour. You should be able to see that both the velocity and acceleration change considerably during that hour. So the pulse width will NOT match the pulse spacing at all. For instance the velocity ratio is not the same across a 100 nanosec pulse as it is across a 0.1 second pulse gap. Secondly it is not terribly clear what actually causes Pulsar pulses. That doesn't matter, the postulate of ballistic theory must still be applied. Not necessarily. Yes necessarily, if that's the way your theory says light behaves then it always behaves that way. That's what scientific tesing is all about. If your theory gives a wrong prediction, you cannot just use SR for the bits where ballistic is wrong. But you can't produce a 'brightness curve' for the pulsar...so neither you nor I know what it is that I'm supposed to be matching. There is some kind of interaction between the rotating magentic field and charged material EXTERNAL to the neutron star itself. There is no certainty that this material is rotating at the same rate as the star...more likely it is 'fixed'..... otherwise we wouldn't see sharp pulses at all. It might not even be rotating with the orbit of the pair. If that was the case the pulses would not show any Doppler at all. The whole pulsar system including the neutron star, the fields, any jets and so on are being moved in an orbit by the distant white dwarf and ballistic theory then tells you what the pulse spacing will be. Maybe...maybe not.. Maybe, maybe not, but any alternative must explain the perceived Doppler by applying the postulate of ballistic theory whatever that implies. I suppose you want to assume that the brightness curve of the pulsar can be inferred from the bunching of the pulses...since their energy should not change even if their widths DO. If you would like to produce such a curve I will try to match it...the I'll worry about getting the red curve right. Second, and more important, nobody uses the width of the pulse to calculate the Doppler, they use the pulse frequency. I'm suggesting they should Tough, they don't. Your red line should be a prediction of what will be measured using the actual technique employed by radio astronomers so that it can be compared with the published curves. And astronomers wrongly assume that the red curve is always identical to the blue one....because Einstein said so... So here's your chance to prove it. Just fix the program. The program is 'fixed', for light. Above you said "point taken". That point requires that they have the same ratio at all times so no phase shift is predicted by ballistic theory. You seem to be making a handwaving claim which contradicts your own theory. no...just jumping from one theory to another... Ah, you meant "produced by the two /theories/", not mrethods. OK. Whether the width changes or not is therefore of no relevance, unless you use the gap times you won't get a curve that can be compared to published curves or data derived from them such as J1909-3744's published orbital parameters. It might be very relevant. Without precise knowledge of the manner in which the pulses are generated, I would not claim for certain that what you say is wrong in the case of pulsars...... but this is not a problem for my program because the ENERGY in each hypothetical pulse remains the same whether or not its width varies as it travels....and the program sums the energy arriving per unit time to produce brightness curves. I am not disputing your brightness curves. There are some subtleties in energy calculations in ballistic theory but they would have a very small effect. We may come across them later. Yes, I have thought of including KE ...but I think it's pretty negligible. That's it. For the moment, there is a gross error in your red line which needs to be corrected. Well I might see what I can do. ..just to make you happy. Cool. The last several weeks of discussion will have been totally pointless if you don't and I have better things to do with my time (as the wife keeps telling me). (mine is away at present. I think I need a new one.) You could have written your own program by now. ..and found the answer. Anyway, ballistic theory if correctly applied as above says the two factors should be the same. ....only according to the classical view. My photons don't have ends that continue to move. We don't agree on that aspect but it needn't come into consideration of pulsars at this stage. Yes. I'm glad you reminded my to convert back to linear magnitudes. I might have overlooked that. ...we'll see. If we are both correct then ALL astronomy will be turned oinits head. It is correct the way it is. No, you said above "point taken" and that means the program is wrong as it stands. It wasn't designed for pulsars, George. It was designed for accelerated sources of EM so it should work for them too. However it is not set up for analysing pulsars because there are no 'brightness curves' available. You don't need a brightness curve, the velocity curve tells you all you need to know which is why you need to correct the red curve to make the program usable. If you want to keep your existing inaccurate version, just take a copy and correct that for the pulsars. That program will let you analysed the extinction length based on the velocity curve alone. I'll just add another function. It wont be that hard actually. OK, as long as you can get some screenshots, it doesn't matter how you go about it. Thanks for doing that Henry. I haven't started yet....but I might tonight. I've wasted most of the day trying to get a Skype phone to operate properly. George "When a true genius appears in the world, you may know him by this sign, that the dunces are all in confederacy against him." --Jonathan Swift. |
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On Feb 25, 5:23 pm, HW@....(Henri Wilson) wrote:
Load of crap George. A frame is not a POINT. A frame is everything at rest wrt a defined point....All frames are infinite. Why, Henri, there you go again. You've said something stupid. Where on earth did you get the idea that a frame is everything at rest with respect to a defined point? PD |
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On Feb 26, 1:22 am, HW@....(Henri Wilson) wrote:
A velocity reference frame - that's what we are talking about - doesn't have an origin, George. And here Henri decides it's a good idea to invent a new term and claim that it's in wide use: "velocity reference frame". I wonder what he means by it? PD |
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On 26 Feb 2007 05:11:11 -0800, "PD" wrote:
On Feb 25, 5:23 pm, HW@....(Henri Wilson) wrote: Load of crap George. A frame is not a POINT. A frame is everything at rest wrt a defined point....All frames are infinite. Why, Henri, there you go again. You've said something stupid. Where on earth did you get the idea that a frame is everything at rest with respect to a defined point? PD Go away and learn some physics Draper. You are clueless. What is YOUR definition of a FoR? ![]() "When a true genius appears in the world, you may know him by this sign, that the dunces are all in confederacy against him." --Jonathan Swift. |
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