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On Sat, 17 Mar 2007 19:35:07 GMT, HW@....(Henri Wilson) wrote:
On 17 Mar 2007 07:00:46 -0700, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message However my program IS strictly limited to Keplerian orbits. I introduced the phase variation to investigate Lagrange points....and found evidence that objects DO exist at the 60 degree one. How can YOU explain a curve like this one: http://www.britastro.org/vss/gifl/00064.gif It's certainly not a simple overtone. ..but the dip can be explained with an object rotating in the same orbit but with 60 degree lag. see S Cas in: www.users.bigpond.com/hewn/group1.jpg Mine is the yellow curve....a perfect fit... Unfortunately, however, I cannot explain the claimed magnitude change of about 9. In fact I don't believe it. According to the britastro website, there is a group of stars that appears to have very large changes in brightness. How do YOU explain those? I think somebody forgot to convert to a log scale. What mass ratio? You can get an estimate from the relative sizes of the dip and main curve. I would say about 4:1 . Actually, to produce that kind of curve, the velocities of the two objects have to be the same.... but one is about 0.4 as bright as the other. The phase difference is 60. 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. "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 17 Mar 2007 07:00:46 -0700, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message . .. On Fri, 16 Mar 2007 16:59:26 -0000, "George Dishman" wrote: ... I doubt if the published one is particularly accurate. _You_ calculate the accuracy by statistical techniques, that's what get you the error bars. You can also estimate systematics but factors like mis-calibration should apply equally regardless of orbital phase. Sure....and 'error bars' can come in very handy when one wants to fiddle the results. ![]() Ain't stats wonderful? Even easier not to show them and claim you have a "match" when you curve is obviously outside the bars, or even better, don't show the velocity scale on your graph and claim a "match" when the curves have the same shape even though the peak amplitude of the measurement is 27983 m/s but your model predicts 0.0013 m/s ;-) Then those curves will almost certainly be failures too, you cannot have a stable configuration with a third object except under _very_ limited conditions (e.g. figure of eight or the very disparate separations like the Sirius system). George, does Jupiter have moons and orbit the sun? Does the Earth have a moon George and orbit the sun? OK, I should have also said "very disparate masses". There is an upper limit of a mass ratio of ~24:1 for the Lagrange point stability. http://en.wikipedia.org/wiki/Lagrangian_point#Stability yes yes, theories theories. Not this time Henry, pure maths and not open to argument. Three body problems are not easily solved generally....let alone four of five body problem... But special cases can be solved and the Lagrange configuration is one of them. If the system is stable then the bodies have a fixed relationship. In general three body systems are chaotic. I don't think you have fully realised the complexity of this whole issue George. I don't think you realise the complexity of the effect of speed unification on VDoppler ;-) I am not worrying about speed unification at the moment. Don't forget you still need it to avoid the problem of multiple images. I would explain more but it will be hard to find words you can follow (no insult intended, it's just tricky to describe unless you already know the answer). I did this some time ago, the vertical scale of the waveform is voltage, horizontal scale is distance, no extinction. http://www.georgedishman.f2s.com/Henri/RitzSine.html The ADoppler is obvious but the VDoppler is harder to see. Just after launch the wavelength is constant but the speed varies hence frequency varies. I'm going to try to add a sample locations and have a graph showing the frequency measured at that point as a function of time but it isn't easy to see how to illustrate the relation to orbital phase. This version shows "pulses". I fact I cheated, the waveform is the 11th power of a sine wave but it looks like a pulse and means the shape changes correctly: http://www.georgedishman.f2s.com/Henri/RitzPulse.html The chancess are its effect is much less than I thought it was. Rather, my 'distance discrepancies' are largely due to orbit pitch. Your model should include all the parameters, you may not think them important now but in some future discussion they may become important. I don't think you realise the constraints Keplerian orbits place on you Henry. George, there are probably 10 billion stars in our galaxy, most with companions and orbiting planets. Do you really think we know every possible configuration just by investigating our own solar system? No, I think we can eliminate unstable configurations by applying Newton's Laws (relativistic effects are small). That would be nice.. For the Lagrange it has been done. However my program IS strictly limited to Keplerian orbits. I introduced the phase variation to investigate Lagrange points....and found evidence that objects DO exist at the 60 degree one. How can YOU explain a curve like this one: http://www.britastro.org/vss/gifl/00064.gif It's certainly not a simple overtone. Nope, there looks to be quite a bit of cycle-to-cycle variation. ..but the dip can be explained with an object rotating in the same orbit but with 60 degree lag. see S Cas in: www.users.bigpond.com/hewn/group1.jpg Mine is the yellow curve....a perfect fit... Unfortunately, however, I cannot explain the claimed magnitude change of about 9. In fact I don't believe it. According to the britastro website, there is a group of stars that appears to have very large changes in brightness. How do YOU explain those? I think somebody forgot to convert to a log scale. That's unlikely but they are unlikely to be cepheids, the nromal range for them goes up to about 2.0 IIRC. I would need to s bit of research to find out what would cause such a large range. From your point of view it is trivial, the extinction distance is 99.9498% of the critical distance compared to 72.6% for a mag 2.0 change. You might think that having the extinction at 99.9498% of critical when we are certain it never _exceeds_ critical (because we never see multiple images) is a remarkable coincidence but that's what the whole Cepheid variation idea relies on. I doubt Sekerin even fully understood that. Oh and note that a tiny change in inclination would put it over that limit, the radial component of acceleration depends on inclination for a given orbit while the extinction distance depends on the "quality of space". That's why you suspected extinction depended on the orbit, for 9 mag it has to be 99.9498% regardless of your pitch factor. What mass ratio? You can get an estimate from the relative sizes of the dip and main curve. I would say about 4:1 . Then it is not possible. Try putting it into your orbital simulation and if your software is accurate the system will be unstable and become chaotic or possibly eject one of the bodies leaving a tighter binary. George |
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On Mar 18, 6:55 am, "George Dishman" wrote:
"Henri Wilson" HW@.... wrote in message ... Sure....and 'error bars' can come in very handy when one wants to fiddle the results. ![]() Ain't stats wonderful? Even easier not to show them and claim you have a "match" when you curve is obviously outside the bars, or even better, don't show the velocity scale on your graph and claim a "match" when the curves have the same shape even though the peak amplitude of the measurement is 27983 m/s but your model predicts 0.0013 m/s ;-) Wow. I -knew- there was a reason that Henri never responded to my challenge to display a velocity scale for his radial velocity curves. I never suspected the discrepancy between predicted and observed would be SEVEN orders of magnitude! Thanks, Jerry |
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On Mar 17, 1:35 pm, HW@....(Henri Wilson) wrote:
..but the dip can be explained with an object rotating in the same orbit but with 60 degree lag. see S Cas in:www.users.bigpond.com/hewn/group1.jpg Mine is the yellow curve....a perfect fit... Unfortunately, however, I cannot explain the claimed magnitude change of about 9. In fact I don't believe it. Believe it. According to the britastro website, there is a group of stars that appears to have very large changes in brightness. How do YOU explain those? I think somebody forgot to convert to a log scale. S Cas is a long period Mira-type variable. There is nothing wrong with the listed range of magnitudes. Miras are known for wide magnitude changes and high variability in the shape and timing of their pulsations. For example, the prototype star for this group, Mira, has a max-min range of about 6 magnitudes, and its max varies irregularly from 2.5 to 3.5 mag. The basic mechanism of the variability of Mira-type variables is, however, the same as that of Cepheids. What mass ratio? You can get an estimate from the relative sizes of the dip and main curve. I would say about 4:1 . Not stable. Jerry |
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![]() "Jerry" wrote in message ups.com... On Mar 18, 6:55 am, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message ... Sure....and 'error bars' can come in very handy when one wants to fiddle the results. ![]() Ain't stats wonderful? Even easier not to show them and claim you have a "match" when you curve is obviously outside the bars, or even better, don't show the velocity scale on your graph and claim a "match" when the curves have the same shape even though the peak amplitude of the measurement is 27983 m/s but your model predicts 0.0013 m/s ;-) Wow. I -knew- there was a reason that Henri never responded to my challenge to display a velocity scale for his radial velocity curves. I never suspected the discrepancy between predicted and observed would be SEVEN orders of magnitude! Notice the wink though, the numbers depend crucially on whether he has extinction and whether he tries to use his daft "incompressible photon" idea which is why I have to work through one stage at a time. His choice of model determines whether he gets grossly inaccurate speeds, 90 degree phase errors or multiple images and possibly a mix of them all. I guess we're a few weeks away from Henry understanding the consequences of the theory fully. George |
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On Sun, 18 Mar 2007 12:55:45 -0000, "George Dishman"
wrote: "Henri Wilson" HW@.... wrote in message .. . Sure....and 'error bars' can come in very handy when one wants to fiddle the results. ![]() Ain't stats wonderful? Even easier not to show them and claim you have a "match" when you curve is obviously outside the bars, or even better, don't show the velocity scale on your graph and claim a "match" when the curves have the same shape even though the peak amplitude of the measurement is 27983 m/s but your model predicts 0.0013 m/s ;-) That's prefectly all right. The effective distance is a lot less than the hipparcos one and orbit is probably pitched at a high angle. George, does Jupiter have moons and orbit the sun? Does the Earth have a moon George and orbit the sun? OK, I should have also said "very disparate masses". There is an upper limit of a mass ratio of ~24:1 for the Lagrange point stability. http://en.wikipedia.org/wiki/Lagrangian_point#Stability yes yes, theories theories. Not this time Henry, pure maths and not open to argument. Three body problems are not easily solved generally....let alone four of five body problem... But special cases can be solved and the Lagrange configuration is one of them. If the system is stable then the bodies have a fixed relationship. In general three body systems are chaotic. Yes I realise that. That's why I used the 60 degree lag. I don't think you have fully realised the complexity of this whole issue George. I don't think you realise the complexity of the effect of speed unification on VDoppler ;-) I am not worrying about speed unification at the moment. Don't forget you still need it to avoid the problem of multiple images. I would explain more but it will be hard to find words you can follow (no insult intended, it's just tricky to describe unless you already know the answer). I'm not worrying about it because I don't need it and cannot see any way to include it. That doesn't mean I think it doesn't happen. It certainly does...but not on anything like the scale that I previously required to explain the distance discrepancy. I did this some time ago, the vertical scale of the waveform is voltage, horizontal scale is distance, no extinction. http://www.georgedishman.f2s.com/Henri/RitzSine.html The ADoppler is obvious but the VDoppler is harder to see. Just after launch the wavelength is constant but the speed varies hence frequency varies. I'm going to try to add a sample locations and have a graph showing the frequency measured at that point as a function of time but it isn't easy to see how to illustrate the relation to orbital phase. I can't see any 'VDoppler' effect. Your program does exactly what mine does. It shows that maximum compression occurs in pulses emitted at 270 (the furthest point). The TRUE maximum velocity occurs at zero phase. I gather you are refering to the fact that the phase of the compression maximum does change slightly as the distance increases. It asymptotes towards 90 wrt the true velocity maximum. You can see now why astronomy has been completely wrong for a century. All 'doppler determined' velocity curves are likely to be about 90 degrees out. This version shows "pulses". I fact I cheated, the waveform is the 11th power of a sine wave but it looks like a pulse and means the shape changes correctly: http://www.georgedishman.f2s.com/Henri/RitzPulse.html that's OK. Do you now agree with what I said? If pulse arrival rate is used in conventional doppler, then the calculated velocity curve will be 90 out wrt the true one. The chancess are its effect is much less than I thought it was. Rather, my 'distance discrepancies' are largely due to orbit pitch. Your model should include all the parameters, you may not think them important now but in some future discussion they may become important. Pitch can be varied in my variables.exe program. I don't think you realise the constraints Keplerian orbits place on you Henry. George, there are probably 10 billion stars in our galaxy, most with companions and orbiting planets. Do you really think we know every possible configuration just by investigating our own solar system? No, I think we can eliminate unstable configurations by applying Newton's Laws (relativistic effects are small). That would be nice.. For the Lagrange it has been done. I read somewhere that a conglomerate of asteroids might possibly exists around a Lagrange point. ...maybe from an exploded star or planet. However my program IS strictly limited to Keplerian orbits. I introduced the phase variation to investigate Lagrange points....and found evidence that objects DO exist at the 60 degree one. How can YOU explain a curve like this one: http://www.britastro.org/vss/gifl/00064.gif It's certainly not a simple overtone. Nope, there looks to be quite a bit of cycle-to-cycle variation. I would put that down to weather conditions. The position of the dip does not appear to change. There is no traditional way to explain it. ..but the dip can be explained with an object rotating in the same orbit but with 60 degree lag. see S Cas in: www.users.bigpond.com/hewn/group1.jpg Mine is the yellow curve....a perfect fit... Unfortunately, however, I cannot explain the claimed magnitude change of about 9. In fact I don't believe it. According to the britastro website, there is a group of stars that appears to have very large changes in brightness. How do YOU explain those? I think somebody forgot to convert to a log scale. That's unlikely but they are unlikely to be cepheids, the nromal range for them goes up to about 2.0 IIRC. I would need to s bit of research to find out what would cause such a large range. From your point of view it is trivial, the extinction distance is 99.9498% of the critical distance compared to 72.6% for a mag 2.0 change. You might think that having the extinction at 99.9498% of critical when we are certain it never _exceeds_ critical (because we never see multiple images) is a remarkable coincidence but that's what the whole Cepheid variation idea relies on. I doubt Sekerin even fully understood that. Oh and note that a tiny change in inclination would put it over that limit, the radial component of acceleration depends on inclination for a given orbit while the extinction distance depends on the "quality of space". That's why you suspected extinction depended on the orbit, for 9 mag it has to be 99.9498% regardless of your pitch factor. But George, you are completely ignoring the fact that the calculated radial velocities are much higher than the real ones...due to the fact that bunching is used as a measure. In the case of your pulsar, astronomers have used the maximum rate of pulse arrival as an indicator of maximum doppler shift. As you are now aware, this is way out in both magnitude and phase. What mass ratio? You can get an estimate from the relative sizes of the dip and main curve. I would say about 4:1 . Then it is not possible. Try putting it into your orbital simulation and if your software is accurate the system will be unstable and become chaotic or possibly eject one of the bodies leaving a tighter binary. The velocities are the same. The rest would be too speculative. 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 18 Mar 2007 07:22:34 -0700, "Jerry" wrote:
On Mar 17, 1:35 pm, HW@....(Henri Wilson) wrote: ..but the dip can be explained with an object rotating in the same orbit but with 60 degree lag. see S Cas in:www.users.bigpond.com/hewn/group1.jpg Mine is the yellow curve....a perfect fit... Unfortunately, however, I cannot explain the claimed magnitude change of about 9. In fact I don't believe it. Believe it. According to the britastro website, there is a group of stars that appears to have very large changes in brightness. How do YOU explain those? I think somebody forgot to convert to a log scale. S Cas is a long period Mira-type variable. There is nothing wrong with the listed range of magnitudes. Miras are known for wide magnitude changes and high variability in the shape and timing of their pulsations. For example, the prototype star for this group, Mira, has a max-min range of about 6 magnitudes, and its max varies irregularly from 2.5 to 3.5 mag. The basic mechanism of the variability of Mira-type variables is, however, the same as that of Cepheids. Is that the best explanation that Einsteiniana can come up with.... What mass ratio? You can get an estimate from the relative sizes of the dip and main curve. I would say about 4:1 . Not stable. Jerry "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 18 Mar 2007 06:32:51 -0700, "Jerry" wrote:
On Mar 18, 6:55 am, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message ... Sure....and 'error bars' can come in very handy when one wants to fiddle the results. ![]() Ain't stats wonderful? Even easier not to show them and claim you have a "match" when you curve is obviously outside the bars, or even better, don't show the velocity scale on your graph and claim a "match" when the curves have the same shape even though the peak amplitude of the measurement is 27983 m/s but your model predicts 0.0013 m/s ;-) Wow. I -knew- there was a reason that Henri never responded to my challenge to display a velocity scale for his radial velocity curves. I never suspected the discrepancy between predicted and observed would be SEVEN orders of magnitude! Sorry Jeery, it's a different ball game now. George is just trying to be funny....when in fact he knows I am right. ALL calculated velocity curves are lilely to be out my many orders of magnitude. They are also mostly about 90 degrees out of phase wrt the REAL radial velocities. If you knew enough physics to be able to follow the recent converstions between George and myself you would understand why. Also, pitch angle now comes into play. Add a little extincr\tion and my figures become perfectly feasible.... Thanks, Jerry "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 18, 3:27 pm, HW@....(Henri Wilson) wrote:
On 18 Mar 2007 06:32:51 -0700, "Jerry" wrote: On Mar 18, 6:55 am, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message . .. Sure....and 'error bars' can come in very handy when one wants to fiddle the results. ![]() Ain't stats wonderful? Even easier not to show them and claim you have a "match" when you curve is obviously outside the bars, or even better, don't show the velocity scale on your graph and claim a "match" when the curves have the same shape even though the peak amplitude of the measurement is 27983 m/s but your model predicts 0.0013 m/s ;-) Wow. I -knew- there was a reason that Henri never responded to my challenge to display a velocity scale for his radial velocity curves. I never suspected the discrepancy between predicted and observed would be SEVEN orders of magnitude! Sorry Jeery, it's a different ball game now. George is just trying to be funny....when in fact he knows I am right. ALL calculated velocity curves are lilely to be out my many orders of magnitude. They are also mostly about 90 degrees out of phase wrt the REAL radial velocities. If you knew enough physics to be able to follow the recent converstions between George and myself you would understand why. Also, pitch angle now comes into play. Add a little extincr\tion and my figures become perfectly feasible.... If that is really the position that you are taking, that 1) observations do not describe reality, and that 2) the only reality consists of your fantasized imaginings, then I am wasting my time with you. It's the end of Spring Break. Have fun with your delusions. Jerry |
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![]() "Henri Wilson" HW@.... wrote in message ... On Sun, 18 Mar 2007 12:55:45 -0000, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message . .. .... OK, I should have also said "very disparate masses". There is an upper limit of a mass ratio of ~24:1 for the Lagrange point stability. http://en.wikipedia.org/wiki/Lagrangian_point#Stability yes yes, theories theories. Not this time Henry, pure maths and not open to argument. Three body problems are not easily solved generally....let alone four of five body problem... But special cases can be solved and the Lagrange configuration is one of them. If the system is stable then the bodies have a fixed relationship. In general three body systems are chaotic. Yes I realise that. That's why I used the 60 degree lag. Yes, you got the angle rght but there is also an upper mass limit that you missed. I am not worrying about speed unification at the moment. Don't forget you still need it to avoid the problem of multiple images. I would explain more but it will be hard to find words you can follow (no insult intended, it's just tricky to describe unless you already know the answer). I'm not worrying about it because I don't need it and cannot see any way to include it. That doesn't mean I think it doesn't happen. It certainly does...but not on anything like the scale that I previously required to explain the distance discrepancy. There is no discrepancy in the distance, the extinction distance is the key and the observer distance can be very much larger. Basically once the speeds have equalised it doesn't matter how much farther away we are, the patterns stay the same as the light travels. The key though is that the extinction distance has to be less than that at which the multiple images first appear. I did this some time ago, the vertical scale of the waveform is voltage, horizontal scale is distance, no extinction. http://www.georgedishman.f2s.com/Henri/RitzSine.html The ADoppler is obvious but the VDoppler is harder to see. Just after launch the wavelength is constant but the speed varies hence frequency varies. I'm going to try to add a sample locations and have a graph showing the frequency measured at that point as a function of time but it isn't easy to see how to illustrate the relation to orbital phase. I can't see any 'VDoppler' effect. I told you it would be hard to explain :-( Normally we are accustomed to the speed being c and Doppler shift producing a change of wavelength. In ballistic theory the wavelength can be constant and Doppler can result from a change in speed. You have to watch very carefully to see that the speed at the 90 and 270 emissions is different. Your program does exactly what mine does. It shows that maximum compression occurs in pulses emitted at 270 (the furthest point). The TRUE maximum velocity occurs at zero phase. ? Have you got that right? your diagram showed ADoppler compression being a maximum at zero phase and the maximum velocity at 90 degrees. I agree with your diagram if it is wavelength rather than frequency. http://www.users.bigpond.com/hewn/bunching.jpg I gather you are refering to the fact that the phase of the compression maximum does change slightly as the distance increases. It asymptotes towards 90 wrt the true velocity maximum. No, what I am referring to is that the maximum _frequency_ does not correspond to the minimum _wavelength_ because the speed is also changing. Your static diagram cannot show the variation in speed. You can see now why astronomy has been completely wrong for a century. All 'doppler determined' velocity curves are likely to be about 90 degrees out. Nope, the phase of the Shapiro delay tells me it is exactly as the conventional theory predicts. This version shows "pulses". I fact I cheated, the waveform is the 11th power of a sine wave but it looks like a pulse and means the shape changes correctly: http://www.georgedishman.f2s.com/Henri/RitzPulse.html that's OK. Do you now agree with what I said? If pulse arrival rate is used in conventional doppler, then the calculated velocity curve will be 90 out wrt the true one. No, the problem is your diagram illustrates wavelength (I guess), not arrival rate. The arrival rate would be most compressed at 90 degrees on the top line and move towards zero degrees as the distance increases. It would be asymptotic to some intermediate value. The chancess are its effect is much less than I thought it was. Rather, my 'distance discrepancies' are largely due to orbit pitch. Your model should include all the parameters, you may not think them important now but in some future discussion they may become important. Pitch can be varied in my variables.exe program. I don't think you realise the constraints Keplerian orbits place on you Henry. George, there are probably 10 billion stars in our galaxy, most with companions and orbiting planets. Do you really think we know every possible configuration just by investigating our own solar system? No, I think we can eliminate unstable configurations by applying Newton's Laws (relativistic effects are small). That would be nice.. For the Lagrange it has been done. I read somewhere that a conglomerate of asteroids might possibly exists around a Lagrange point. ...maybe from an exploded star or planet. Sure, look up "Trojans". However, asteroids are much less massive than the planets. There is an upper mass limit for the orbit to be stable. However my program IS strictly limited to Keplerian orbits. .. Not if you use such a high mass. ..but the dip can be explained with an object rotating in the same orbit but with 60 degree lag. see S Cas in: www.users.bigpond.com/hewn/group1.jpg Mine is the yellow curve....a perfect fit... Unfortunately, however, I cannot explain the claimed magnitude change of about 9. In fact I don't believe it. According to the britastro website, there is a group of stars that appears to have very large changes in brightness. How do YOU explain those? I think somebody forgot to convert to a log scale. That's unlikely but they are unlikely to be cepheids, the nromal range for them goes up to about 2.0 IIRC. I would need to s bit of research to find out what would cause such a large range. From your point of view it is trivial, the extinction distance is 99.9498% of the critical distance compared to 72.6% for a mag 2.0 change. You might think that having the extinction at 99.9498% of critical when we are certain it never _exceeds_ critical (because we never see multiple images) is a remarkable coincidence but that's what the whole Cepheid variation idea relies on. I doubt Sekerin even fully understood that. Oh and note that a tiny change in inclination would put it over that limit, the radial component of acceleration depends on inclination for a given orbit while the extinction distance depends on the "quality of space". That's why you suspected extinction depended on the orbit, for 9 mag it has to be 99.9498% regardless of your pitch factor. But George, you are completely ignoring the fact that the calculated radial velocities are much higher than the real ones...due to the fact that bunching is used as a measure. Nope, what I said above is independent of the velocity, the distance ratio comes directly from the brightness ratio. In the case of your pulsar, astronomers have used the maximum rate of pulse arrival as an indicator of maximum doppler shift. As you are now aware, this is way out in both magnitude and phase. What mass ratio? You can get an estimate from the relative sizes of the dip and main curve. I would say about 4:1 . Then it is not possible. Try putting it into your orbital simulation and if your software is accurate the system will be unstable and become chaotic or possibly eject one of the bodies leaving a tighter binary. The velocities are the same. The rest would be too speculative. There's nothing speculative about it, just the same inverse square law that you use for two-body Keplerian orbits which you say your model already uses. George |
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