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![]() "Henri Wilson" HW@.... wrote in message ... On Sat, 10 Mar 2007 23:22:08 -0000, "George Dishman" wrote: ... So now that we have confirmed the phase is OK, what does your program give for the velocity from the blue curve when the red matches the observations and distance is 3720 light years Henry? You seem to be saying you have done the work and got a linear scale to read it off but you haven't actually given me the number yet. Like I said, I can only give you a figure for the product (blue velocity x distance). Like I said, the distance is 3720 light years. For instance, for an extinction distance of about 120 Ldays, and a red velocity variation of 0.00019, the blue velocity is about 15m/s. For 12 Ldays, the blue velocity is 150 m/s. OK, so for a distance of 3720 light years or 1357830 light days that would be 15 * 120 / 1357800 = 0.0013 m/s The orbital circumference would be that times 1.5 days or 172 m, a radius of 27 m. Do you agree with those numbers? Just as a matter of curiosity, what is your value for the eccentricity? The next question, again assuming no extinction, is what orbital inclination would you need to get a reasonable radius. If you don't follow my reason for asking, it is that a nearly face-on orbit will give a low radial component of the velocity even for high actual speeds. George |
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On Sun, 11 Mar 2007 21:23:02 -0000, "George Dishman"
wrote: "Henri Wilson" HW@.... wrote in message .. . On Sat, 10 Mar 2007 23:22:08 -0000, "George Dishman" wrote: .. So now that we have confirmed the phase is OK, what does your program give for the velocity from the blue curve when the red matches the observations and distance is 3720 light years Henry? You seem to be saying you have done the work and got a linear scale to read it off but you haven't actually given me the number yet. Like I said, I can only give you a figure for the product (blue velocity x distance). Like I said, the distance is 3720 light years. For instance, for an extinction distance of about 120 Ldays, and a red velocity variation of 0.00019, the blue velocity is about 15m/s. For 12 Ldays, the blue velocity is 150 m/s. OK, so for a distance of 3720 light years or 1357830 light days that would be 15 * 120 / 1357800 = 0.0013 m/s The orbital circumference would be that times 1.5 days or 172 m, a radius of 27 m. Do you agree with those numbers? Yes, that is the 'no extinction' case. Just as a matter of curiosity, what is your value for the eccentricity? I used 0.02. Whether it is 0 or 0.05 is not all that critical. The next question, again assuming no extinction, is what orbital inclination would you need to get a reasonable radius. If you don't follow my reason for asking, it is that a nearly face-on orbit will give a low radial component of the velocity even for high actual speeds. Using my definition of Yaw angle, you just have to divide by cos(pitch) to get the true 'blue velocity' value.... This now becomes very interesting because, whereas pitch is automatically included when radial velocities are determined using standard doppler, this is no longer the case. George, you might have completely destroyed not only my incompressible photon and speed unification models but also Einstein's relativity.. I think this also explains why my predicted velocity curve for RT Aur is 90 out of phase compared to the observed one. I'll have to rethink everything now. I'll check what happens in the case of contact binaries with very short periods and supposedly high orbital speeds. You might become famous for this George...then man who helped Henri Wilson prove Einstein wrong. .....Right now I'm still streamlining my program. 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 Mar 11, 3:09 pm, HW@....(Henri Wilson) wrote:
On Sun, 11 Mar 2007 21:23:02 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message .. . On Sat, 10 Mar 2007 23:22:08 -0000, "George Dishman" wrote: .. So now that we have confirmed the phase is OK, what does your program give for the velocity from the blue curve when the red matches the observations and distance is 3720 light years Henry? You seem to be saying you have done the work and got a linear scale to read it off but you haven't actually given me the number yet. Like I said, I can only give you a figure for the product (blue velocity x distance). Like I said, the distance is 3720 light years. For instance, for an extinction distance of about 120 Ldays, and a red velocity variation of 0.00019, the blue velocity is about 15m/s. For 12 Ldays, the blue velocity is 150 m/s. OK, so for a distance of 3720 light years or 1357830 light days that would be 15 * 120 / 1357800 = 0.0013 m/s The orbital circumference would be that times 1.5 days or 172 m, a radius of 27 m. Do you agree with those numbers? Yes, that is the 'no extinction' case. Just as a matter of curiosity, what is your value for the eccentricity? I used 0.02. Whether it is 0 or 0.05 is not all that critical. The next question, again assuming no extinction, is what orbital inclination would you need to get a reasonable radius. If you don't follow my reason for asking, it is that a nearly face-on orbit will give a low radial component of the velocity even for high actual speeds. Using my definition of Yaw angle, you just have to divide by cos(pitch) to get the true 'blue velocity' value.... This now becomes very interesting because, whereas pitch is automatically included when radial velocities are determined using standard doppler, this is no longer the case. George, you might have completely destroyed not only my incompressible photon and speed unification models but also Einstein's relativity.. I think this also explains why my predicted velocity curve for RT Aur is 90 out of phase compared to the observed one. I'll have to rethink everything now. I'll check what happens in the case of contact binaries with very short periods and supposedly high orbital speeds. You might become famous for this George...then man who helped Henri Wilson prove Einstein wrong. Does that mean you are finally going to publish your crap in a journal? Or at least try? ....Right now I'm still streamlining my program. 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 a écrit :
You might become famous for this George...then man who helped Henri Wilson prove Einstein wrong. ....Right now I'm still streamlining my program. Here is a paper on the amazing skills of Henri Wilson on computing and physics : http://zgub.homelinux.org/RH/Precess...pendencies.pdf (the *whole* content is made from Wilson's posts from s.r.p.) and here are some screenshots of his famous "solve-it-all" VB programs : http://zgub.homelinux.org/RH/wilson-...er-genious.jpg http://zgub.homelinux.org/RH/wilson-...r-genious2.jpg http://zgub.homelinux.org/RH/wilson-...r-genious3.jpg http://zgub.homelinux.org/RH/wilson-...-every-day.jpg |
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On 11 Mar, 23:09, HW@....(Henri Wilson) wrote:
On Sun, 11 Mar 2007 21:23:02 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message ... .... For instance, for an extinction distance of about 120 Ldays, and a red velocity variation of 0.00019, the blue velocity is about 15m/s. For 12 Ldays, the blue velocity is 150 m/s. OK, so for a distance of 3720 light years or 1357830 light days that would be 15 * 120 / 1357800 = 0.0013 m/s The orbital circumference would be that times 1.5 days or 172 m, a radius of 27 m. Do you agree with those numbers? Yes, that is the 'no extinction' case. Just as a matter of curiosity, what is your value for the eccentricity? I used 0.02. Whether it is 0 or 0.05 is not all that critical. Bear in mind the published value is around 10^-7 so the fits are highly accurate. You will probably need several decimals in you value if you ever get to the point of claiming you have a match in order to get your residuals to an acceptable level. However in terms of the current discussion, what you indicate is fine, thanks. The point that is at the back of my mind here is that you are using the Keplerian variation of speed for an elliptical orbit to introduce a distortion of the normal sine wave which compensates for the variable time the light takes to reach us from different points on the orbit. I haven't tried to solve that analytically but I think there is no guarantee that the distortion from one effect can exactly compensate that from the other so though you may be able to say null out the second harmonic of the orbital frequency, you may not be able to cancel higher harmonics. It's something you would have to consider later. Adding a Fourier transform of the results might be a way to look at this. The next question, again assuming no extinction, is what orbital inclination would you need to get a reasonable radius. If you don't follow my reason for asking, it is that a nearly face-on orbit will give a low radial component of the velocity even for high actual speeds. Using my definition of Yaw angle, you just have to divide by cos(pitch) to get the true 'blue velocity' value.... So for a true speed of 27983 m/s for example, the pitch would be acos(0.0013/297983) = 89.9999973 degrees or face-on to within 9.6 milli-arcseconds? This now becomes very interesting because, whereas pitch is automatically included when radial velocities are determined using standard doppler, this is no longer the case. George, you might have completely destroyed not only my incompressible photon and speed unification models but also Einstein's relativity.. I think this also explains why my predicted velocity curve for RT Aur is 90 out of phase compared to the observed one. Without doubt your "incompressible photon" idea conflicts with ballistic theory. However, I was going to point out that a face-on conflicts with the observation of a Shapiro delay so we can discard that idea. The next step I was to set the orbit back to edge on, or better about 11 degrees from that IIRC, the published value, and then find out what extinction gives the right values. You said above for 12 light days, the blue velocity was 150 m/s but the interesting question then is what phase does that give? I'll have to rethink everything now. I'll check what happens in the case of contact binaries with very short periods and supposedly high orbital speeds. You might become famous for this George...then man who helped Henri Wilson prove Einstein wrong. ....Right now I'm still streamlining my program. Streamlining will help but probably more important will be including some way to measure the phase shift between the red and blue curves. I think you are strating to appreciate how important that factor is in deciding if you have a match. A later feature would be the ability to load a set of obervations and display the residuals but there's no point worrying about that until you get your hands on some real numbers rather than printed graphs. George |
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On 12 Mar 2007 01:16:33 -0700, "George Dishman"
wrote: On 11 Mar, 23:09, HW@....(Henri Wilson) wrote: On Sun, 11 Mar 2007 21:23:02 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message ... ... For instance, for an extinction distance of about 120 Ldays, and a red velocity variation of 0.00019, the blue velocity is about 15m/s. For 12 Ldays, the blue velocity is 150 m/s. OK, so for a distance of 3720 light years or 1357830 light days that would be 15 * 120 / 1357800 = 0.0013 m/s The orbital circumference would be that times 1.5 days or 172 m, a radius of 27 m. Do you agree with those numbers? Yes, that is the 'no extinction' case. Just as a matter of curiosity, what is your value for the eccentricity? I used 0.02. Whether it is 0 or 0.05 is not all that critical. Bear in mind the published value is around 10^-7 so the fits are highly accurate. You will probably need several decimals in you value if you ever get to the point of claiming you have a match in order to get your residuals to an acceptable level. However in terms of the current discussion, what you indicate is fine, thanks. The point that is at the back of my mind here is that you are using the Keplerian variation of speed for an elliptical orbit to introduce a distortion of the normal sine wave which compensates for the variable time the light takes to reach us from different points on the orbit. I haven't tried to solve that analytically but I think there is no guarantee that the distortion from one effect can exactly compensate that from the other so though you may be able to say null out the second harmonic of the orbital frequency, you may not be able to cancel higher harmonics. It's something you would have to consider later. Adding a Fourier transform of the results might be a way to look at this. I have now set up the program for both circular and elliptical orbits and there is very little difference between eccentricity zero and = 0.02. There is about 5% difference if e = 0.06 The next question, again assuming no extinction, is what orbital inclination would you need to get a reasonable radius. If you don't follow my reason for asking, it is that a nearly face-on orbit will give a low radial component of the velocity even for high actual speeds. Using my definition of Yaw angle, you just have to divide by cos(pitch) to get the true 'blue velocity' value.... So for a true speed of 27983 m/s for example, the pitch would be acos(0.0013/297983) = 89.9999973 degrees or face-on to within 9.6 milli-arcseconds? Yes....but that is almost certainly not the true speed...or anything like it. This now becomes very interesting because, whereas pitch is automatically included when radial velocities are determined using standard doppler, this is no longer the case. George, you might have completely destroyed not only my incompressible photon and speed unification models but also Einstein's relativity.. I think this also explains why my predicted velocity curve for RT Aur is 90 out of phase compared to the observed one. Without doubt your "incompressible photon" idea conflicts with ballistic theory. Not so George. I gave you one model where the 'absolute wavelength' was independent of source acceleration. However, I was going to point out that a face-on conflicts with the observation of a Shapiro delay so we can discard that idea. But the phase of the supposed Shapiro delay is based on standard Doppler. ....you seem to be having trouble riding your mind of everything you have been taught in the past George. The next step I was to set the orbit back to edge on, or better about 11 degrees from that IIRC, the published value, and then find out what extinction gives the right values. I'm goint to work on the pitch angle. I'm not sure how it will explain the relatively high orbital speeds calculated using standard doppler. These are typically 50 to 250 kms/sec for periods of less than two days. It is possible that the true speeds are considerably less than this but that would mean the orbit diameters would have to be even smaller. You said above for 12 light days, the blue velocity was 150 m/s but the interesting question then is what phase does that give? Unfortunately, the curve is just a straight line at this level. I will have to amplify it somehow without it going off screen. I thought I had achieved that already by something seems to be wrong. I should imagine the phase difference is pretty close to 90. I'll have to rethink everything now. I'll check what happens in the case of contact binaries with very short periods and supposedly high orbital speeds. You might become famous for this George...then man who helped Henri Wilson prove Einstein wrong. ....Right now I'm still streamlining my program. Streamlining will help but probably more important will be including some way to measure the phase shift between the red and blue curves. I think you are strating to appreciate how important that factor is in deciding if you have a match. I already know it asymptotes towards 90. A later feature would be the ability to load a set of obervations and display the residuals but there's no point worrying about that until you get your hands on some real numbers rather than printed graphs. I'm now vitally interested in pitch as an explanation of my distance discrepancies. There should be a predictable statistical distribution of orbit pitch angles. It will become pretty obvious if this is not followed. 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 12 Mar, 10:33, HW@....(Henri Wilson) wrote:
On 12 Mar 2007 01:16:33 -0700, "George Dishman" wrote: On 11 Mar, 23:09, HW@....(Henri Wilson) wrote: On Sun, 11 Mar 2007 21:23:02 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in messagenews:sfm8v2lhfb6vmn9nf8ck6n61hlp3dg2rdh@4ax .com... .... The next question, again assuming no extinction, is what orbital inclination would you need to get a reasonable radius. If you don't follow my reason for asking, it is that a nearly face-on orbit will give a low radial component of the velocity even for high actual speeds. Using my definition of Yaw angle, you just have to divide by cos(pitch) to get the true 'blue velocity' value.... So for a true speed of 27983 m/s for example, the pitch would be acos(0.0013/297983) = 89.9999973 degrees or face-on to within 9.6 milli-arcseconds? Yes....but that is almost certainly not the true speed...or anything like it. Right, it is just a step along the way. As you say later there should be a statistical spread and if you predicted every pulsar orbit had to be within a few mas of face-on, it would indicate a problem. This now becomes very interesting because, whereas pitch is automatically included when radial velocities are determined using standard doppler, this is no longer the case. George, you might have completely destroyed not only my incompressible photon and speed unification models but also Einstein's relativity.. I think this also explains why my predicted velocity curve for RT Aur is 90 out of phase compared to the observed one. Without doubt your "incompressible photon" idea conflicts with ballistic theory. Not so George. I gave you one model where the 'absolute wavelength' was independent of source acceleration. You described that but you didn't derive it by applying ballistic theory to a waveform and you won't be able to. What you need to do is go back to the basics of quantisation and think about why Planck suggested it in the first place. What you will find is that ballistic theory requires decoupling of the frequency (and wavelength) from the energy carried by a photon, and the frame dependence of the energy then falls back to the velocity difference, kinetic energy as you briefly touched on before. However, I don't want to get into a long discussion of that until we wrap up looking at what the pulsar can tell us. However, I was going to point out that a face-on conflicts with the observation of a Shapiro delay so we can discard that idea. But the phase of the supposed Shapiro delay is based on standard Doppler. No, the Shapiro delay must peak at the time of superior conjunction when the line of sight passes closest to the dwarf. That is controlled solely by the geometry of the orbit so it provides a _reference_ against which the phase of the Doppler can be measured. Conventionally for a circular orbit it would be at a point of zero shift but for ballistic theory the Doppler will be a combination of velocity and acceleration terms so the phase relative to the reference can tell you the ratio of the velocity and acceleration contributions. ...you seem to be having trouble riding your mind of everything you have been taught in the past George. You seem to have trouble realising that phase tells you lots about the situation :-) The next step I was to set the orbit back to edge on, or better about 11 degrees from that IIRC, the published value, and then find out what extinction gives the right values. I'm goint to work on the pitch angle. Yes, that's important too. I'm not sure how it will explain the relatively high orbital speeds calculated using standard doppler. These are typically 50 to 250 kms/sec for periods of less than two days. It is possible that the true speeds are considerably less than this but that would mean the orbit diameters would have to be even smaller. You said above for 12 light days, the blue velocity was 150 m/s but the interesting question then is what phase does that give? Unfortunately, the curve is just a straight line at this level. I will have to amplify it somehow without it going off screen. I thought I had achieved that already by something seems to be wrong. I should imagine the phase difference is pretty close to 90. I expect that too. The interesting question that we will get to soon is what extinction distance changes the phase to 45 degrees. You might have to think a bit to see what that will tell us ;-) Streamlining will help but probably more important will be including some way to measure the phase shift between the red and blue curves. I think you are starting to appreciate how important that factor is in deciding if you have a match. I already know it asymptotes towards 90. Yes, but at the other end I think you will find it will be very sensitive to the extinction distance. Anyway, let's not get too far ahead of ourselves. George |
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On 12 Mar 2007 05:11:04 -0700, "George Dishman"
wrote: On 12 Mar, 10:33, HW@....(Henri Wilson) wrote: On 12 Mar 2007 01:16:33 -0700, "George Dishman" wrote: On 11 Mar, 23:09, HW@....(Henri Wilson) wrote: On Sun, 11 Mar 2007 21:23:02 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in messagenews:sfm8v2lhfb6vmn9nf8ck6n61hlp3dg2rdh@4ax .com... ... The next question, again assuming no extinction, is what orbital inclination would you need to get a reasonable radius. If you don't follow my reason for asking, it is that a nearly face-on orbit will give a low radial component of the velocity even for high actual speeds. Using my definition of Yaw angle, you just have to divide by cos(pitch) to get the true 'blue velocity' value.... So for a true speed of 27983 m/s for example, the pitch would be acos(0.0013/297983) = 89.9999973 degrees or face-on to within 9.6 milli-arcseconds? Yes....but that is almost certainly not the true speed...or anything like it. Right, it is just a step along the way. As you say later there should be a statistical spread and if you predicted every pulsar orbit had to be within a few mas of face-on, it would indicate a problem. The problem remains to establish a figure for the true orbital velocity given that all we have available is the willusion. This now becomes very interesting because, whereas pitch is automatically included when radial velocities are determined using standard doppler, this is no longer the case. George, you might have completely destroyed not only my incompressible photon and speed unification models but also Einstein's relativity.. I think this also explains why my predicted velocity curve for RT Aur is 90 out of phase compared to the observed one. Without doubt your "incompressible photon" idea conflicts with ballistic theory. Not so George. I gave you one model where the 'absolute wavelength' was independent of source acceleration. You described that but you didn't derive it by applying ballistic theory to a waveform and you won't be able to. What you need to do is go back to the basics of quantisation and think about why Planck suggested it in the first place. What you will find is that ballistic theory requires decoupling of the frequency (and wavelength) from the energy carried by a photon, and the frame dependence of the energy then falls back to the velocity difference, kinetic energy as you briefly touched on before. However, I don't want to get into a long discussion of that until we wrap up looking at what the pulsar can tell us. OK. However, I was going to point out that a face-on conflicts with the observation of a Shapiro delay so we can discard that idea. But the phase of the supposed Shapiro delay is based on standard Doppler. No, the Shapiro delay must peak at the time of superior conjunction when the line of sight passes closest to the dwarf. .....but even Shapiro delay has a different meaning in the BaTh....although the phase of maximum effect should still coincide with the dwarf being furthest away. The 'delay' should be negative when the dwarf is closest. I reckon what is happening in the case of this Pulsar is that the very heavy neutron star is wobbling relatively slowly around its barycentre with the dwarf. Its orbital speed could easily be less than 1 km/s. The pitch angle might be around 60 degres or less. What would help greatly would be a brightness curve of the dwarf...or at least something about its velocity variations. That is controlled solely by the geometry of the orbit so it provides a _reference_ against which the phase of the Doppler can be measured. Conventionally for a circular orbit it would be at a point of zero shift but for ballistic theory the Doppler will be a combination of velocity and acceleration terms so the phase relative to the reference can tell you the ratio of the velocity and acceleration contributions. I suggest we use the terms ADoppler and VDoppler to distinguish between these two. ADoppler includes a VDoppler component. How do we arrive at a true velocity curve when all we have is the ADoppler willusion? Because of hte VDoppler component, the velocity curve will not normally be quite the same as my 'brightness' curve. It will be out of phase and have a different shape until it stabilizes with distance. If we use a computer simulation we cannot assume the hipparcos distance is applicable unless we also assume zero extinction....and that is not something I would like to do at this stage. ...you seem to be having trouble riding your mind of everything you have been taught in the past George. You seem to have trouble realising that phase tells you lots about the situation :-) No, I can see that the V component will shift the red curve away from the 'brightness curve'...but we need the extinction distance before we can go much further. Have you seen this? http://mb-soft.com/public2/cepheid.html I don't think it is a very accurate description but the phasing is what is interesting. I'll firget about my 'oncompressible photon' model for a while. I am able to produce almost the exact brightness curve for RT Aur but my blue curve is about 90 deg out. If I use ADoppler, that problem is probably removed. Note the similarity of the two curves....which is what I would expect if my red curve is closely related to my brightness curve. The next step I was to set the orbit back to edge on, or better about 11 degrees from that IIRC, the published value, and then find out what extinction gives the right values. I'm goint to work on the pitch angle. Yes, that's important too. It IS now...using ADoppler. I'm not sure how it will explain the relatively high orbital speeds calculated using standard doppler. These are typically 50 to 250 kms/sec for periods of less than two days. It is possible that the true speeds are considerably less than this but that would mean the orbit diameters would have to be even smaller. You said above for 12 light days, the blue velocity was 150 m/s but the interesting question then is what phase does that give? Unfortunately, the curve is just a straight line at this level. I will have to amplify it somehow without it going off screen. I thought I had achieved that already by something seems to be wrong. I should imagine the phase difference is pretty close to 90. I expect that too. The interesting question that we will get to soon is what extinction distance changes the phase to 45 degrees. You might have to think a bit to see what that will tell us ;-) Yes I can see the point. ..ADoppler starts to dominate. Streamlining will help but probably more important will be including some way to measure the phase shift between the red and blue curves. I think you are starting to appreciate how important that factor is in deciding if you have a match. I already know it asymptotes towards 90. Yes, but at the other end I think you will find it will be very sensitive to the extinction distance. Anyway, let's not get too far ahead of ourselves. I will be working on this today. I've worked out how to program it. 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 12 Mar 2007 05:11:04 -0700, "George Dishman"
wrote: On 12 Mar, 10:33, HW@....(Henri Wilson) wrote: George, I have placed my latest program on the website: http://www.users.bigpond.com/hewn/newvariables.exe It isn't finished but it includes your method of determining brightness using the 'bunching factor'. My original program runs as before using the yellow button. The new one operates when you click on 'george' at the bottom. (see! it's named after you) It is now possible to amplify the brightness curve as much as required by using the 'output size' combo then clicking 'george' again. You still have to return to the main screen to change parameters. I haven't included a red velocity curve in this version because I'm not sure how to do it yet. "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 12 Mar, 22:11, HW@....(Henri Wilson) wrote:
On 12 Mar 2007 05:11:04 -0700, "George Dishman" wrote: On 12 Mar, 10:33, HW@....(Henri Wilson) wrote: On 12 Mar 2007 01:16:33 -0700, "George Dishman" wrote: On 11 Mar, 23:09, HW@....(Henri Wilson) wrote: On Sun, 11 Mar 2007 21:23:02 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in messagenews:sfm8v2lhfb6vmn9nf8ck6n61hlp3dg2rdh@4ax .com... .... So for a true speed of 27983 m/s for example, the pitch would be acos(0.0013/297983) = 89.9999973 degrees or face-on to within 9.6 milli-arcseconds? Yes....but that is almost certainly not the true speed...or anything like it. Right, it is just a step along the way. As you say later there should be a statistical spread and if you predicted every pulsar orbit had to be within a few mas of face-on, it would indicate a problem. The problem remains to establish a figure for the true orbital velocity given that all we have available is the willusion. Sure, I'm working towards explaining some of the methods you can use to do that. However, I was going to point out that a face-on conflicts with the observation of a Shapiro delay so we can discard that idea. But the phase of the supposed Shapiro delay is based on standard Doppler. No, the Shapiro delay must peak at the time of superior conjunction when the line of sight passes closest to the dwarf. ....but even Shapiro delay has a different meaning in the BaTh....although the phase of maximum effect should still coincide with the dwarf being furthest away. The 'delay' should be negative when the dwarf is closest. Sort of, you are right that the 'delay' should be negative but the effect should still be most significant when it is farthest. As a deviation from the normal Keplerian effects we usually discuss GR gives this change of arrival time as a function of phase: Advance |______ ______| | \/ | Delay while ballistic theory predicts this: Advance |______/\______| | | Delay Bear in mind we don't know the exact distance to the pulsar to a few metres, it is only a relative shift on top of the orbital effects and also the proper motion of the whole system. Laying aside the inversion, it still gives a valid phase reference. I reckon what is happening in the case of this Pulsar is that the very heavy neutron star is wobbling relatively slowly around its barycentre with the dwarf. Trouble is that you cannot have a "very heavy neutron star", there is a limit to the ability of neutrons to resist being crushed. Its orbital speed could easily be less than 1 km/s. The pitch angle might be around 60 degres or less. The pitch can be found from the Shapiro delay just by comparison with the empirical delay measured near the Sun without worrying about any particular theory. What would help greatly would be a brightness curve of the dwarf...or at least something about its velocity variations. I haven't seen one yet but since I don't accept your "incompressible photon" idea it probably wouldn't help. I want to see how far we can get using _only_ the pulses where we agree the effects. That is controlled solely by the geometry of the orbit so it provides a _reference_ against which the phase of the Doppler can be measured. Conventionally for a circular orbit it would be at a point of zero shift but for ballistic theory the Doppler will be a combination of velocity and acceleration terms so the phase relative to the reference can tell you the ratio of the velocity and acceleration contributions. I suggest we use the terms ADoppler and VDoppler to distinguish between these two. ADoppler includes a VDoppler component. OK, but exclude the VDoppler from the VDoppler and call the combination the total. How do we arrive at a true velocity curve when all we have is the ADoppler willusion? Because of hte VDoppler component, the velocity curve will not normally be quite the same as my 'brightness' curve. It will be out of phase and have a different shape until it stabilizes with distance. That's the key, the phase depends on the ratio so given the Shapiro marker we should be able to find a maximum value for the extinction distance. If we use a computer simulation we cannot assume the hipparcos distance is applicable unless we also assume zero extinction....and that is not something I would like to do at this stage. No, what we do is use a combination, if you set the program distance to the Hipparcos level, you are assuming no extinction and the result will usually be multiple images which is ruled out. If you then set it much less, you are assuming an observe at infinity and the distance is the extinction. Having done both, as long as the ratio is large (i.e. the observer is at a much greater distance than the extinction) then you can use the latter method. If it turns out the distances are similar, then you have to work out the exponential to get a more accurate figure for extinction using the known Hipparcos range. ...you seem to be having trouble riding your mind of everything you have been taught in the past George. You seem to have trouble realising that phase tells you lots about the situation :-) No, I can see that the V component will shift the red curve away from the 'brightness curve'...but we need the extinction distance before we can go much further. For a circular orbit, when the phase is 45 degrees relative to the Shapiro peak, the ADoppler component is equal to the VDoppler which tells you the extinction. It will be more complex for an elliptical orbit but that's where you program comes in. Have you seen this?http://mb-soft.com/public2/cepheid.html Crank crap I'm afraid. He makes the point that the infalling acceleration is only 0.16 m/s^2 while the surface gravity is 0.93 m/s^2 and suggests that's a problem. Of course all it means is that the upward pressure has dropped from slightly more than 0.93 when the star was expanding to about 0.77 m/s^2 or 5/6ths of the gravity when it is collapsing. I had a look at some of his other stuff and it is pretty clueless. ... The interesting question that we will get to soon is what extinction distance changes the phase to 45 degrees. You might have to think a bit to see what that will tell us ;-) Yes I can see the point. ..ADoppler starts to dominate. Not only that, the two are equal at that point so you know the extinction. Below that or in particular for smaller phase angles, the phase becomes close to proportional so if you calculate the extinction at say 10 degrees then that at 1 degree will be about 1/10th the distance. It lets you work out the maximum value based on the uncertainty in the phase shift of the conventional analysis. George |
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