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Doppler Effect Exists Anywhere


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Posted (edited)

https://photos.app.goo.gl/axeDPZggPZAjComR7
Assume that the earth speed v0 = 0. Star began to approach the earth at the speed of v. Star came to position B, and the elapsed time was T seconds. The gravitational changes experienced by the earth are as follows:
A: F = G * M * m / R^2
B: F = G * M * m / (R + 1000)^2 ≈ G * M * m / R^2

According to the law of conservation of momentum:
F * T = mv1-mv0 = mv1, then v1 = F * T / m = T * G * M / R^2
T = 2s: v1 = 2 * G * M / R^2
T = 1s: v1 = 1 * G * M / R^2

Because of the speed v of the star, the earth obtained a different speed v1. The larger v is, the larger v1 will be, but the gravitational force on the planet from the star has hardly changed. If the star's v = X * cos(wt), then the speed change of earth will also show volatility.
The relative speed between them really affects the speed of the earth. Do you still think there is no Doppler effect between them? If you understand the Doppler effect, you will know that it exists anywhere.

When M and m are far away from each other, the greater the relative speed, the smaller the speed change that m can obtain. When M and m are close to each other, the greater the relative speed, the greater the speed change that m can obtain. Isn't this the characteristic of the Doppler effect? Everything can't deny the law of conservation of momentum.

https://photos.app.goo.gl/FNohkKDepHhgx2b29
To simplify the calculation, we do not consider the displacement in the y direction.
F = G*M*m/L^2=G*M*m/(R - r*cos(w*t))^2
F * t = mv1-mv0, assume v0=0 then F * t = mv1, then v1 = F * t / m = t*G*M/(R - r*cos(w*t))^2, then v1 = g(t)*t, g(t) = G*M/(R - r*cos(w*t))^2.
if R>100r, v1 ≈ t*G*M/R^2 = g*t , g = G*M/R^2.


The volatility of the gravitational field is obvious. When the celestial body is relatively far away, the g between them is close to a constant, but when they are relatively close, g is a function of relative speed and time.
We has shown that when relative motions between celestial bodies are on the same straight line, the speed change of celestial bodies with mass m is related to the relative speed between them. If the relative speed change shows volatility, then the speed change value v1 will also show volatility. Then the gravitational acceleration g (t) will also show volatility.

No matter what gravity is, the affected object will show volatility, it also has a Doppler effect. So I guess: if we can consider the Doppler effect of the gravitational field when calculating the precession of Mercury, then the missing 44.1" will no longer need GR compensation.

Edited by TonyYuan2020
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Posted (edited)

https://photos.app.goo.gl/axeDPZggPZAjComR7
Assume that the earth speed v0 = 0. Star began to approach the earth at the speed of v. Star came to position B, and the elapsed time was T seconds. The gravitational changes experienced by the earth are as follows:
A: F = G * M * m / R^2
B: F = G * M * m / (R + 1000)^2 ≈ G * M * m / R^2

According to the law of conservation of momentum:
F * T = mv1-mv0 = mv1, then v1 = F * T / m = T * G * M / R^2
T = 2s: v1 = 2 * G * M / R^2
T = 1s: v1 = 1 * G * M / R^2

Because of the speed v of the star, the earth obtained a different speed v1. The larger v is, the larger v1 will be, but the gravitational force on the planet from the star has hardly changed. If the star's v = X * cos(wt), then the speed change of earth will also show volatility.
The relative speed between them really affects the speed of the earth. Do you still think there is no Doppler effect between them? If you understand the Doppler effect, you will know that it exists anywhere.

When M and m are far away from each other, the greater the relative speed, the smaller the speed change that m can obtain. When M and m are close to each other, the greater the relative speed, the greater the speed change that m can obtain. Isn't this the characteristic of the Doppler effect? Everything can't deny the law of conservation of momentum.

https://photos.app.goo.gl/FNohkKDepHhgx2b29
To simplify the calculation, we do not consider the displacement in the y direction.
F = G*M*m/L^2=G*M*m/(R - r*cos(w*t))^2
F * t = mv1-mv0, assume v0=0 then F * t = mv1, then v1 = F * t / m = t*G*M/(R - r*cos(w*t))^2, then v1 = g(t)*t, g(t) = G*M/(R - r*cos(w*t))^2.
if R>100r, v1 ≈ t*G*M/R^2 = g*t , g = G*M/R^2.


The volatility of the gravitational field is obvious. When the celestial body is relatively far away, the g between them is close to a constant, but when they are relatively close, g is a function of relative speed and time.
post # 119 has shown that when relative motions between celestial bodies are on the same straight line, the speed change of celestial bodies with mass m is related to the relative speed between them. If the relative speed change shows volatility, then the speed change value v1 will also show volatility. Then the gravitational acceleration g (t) will also show volatility.

No matter what gravity is, the affected object will show volatility, it also has a Doppler effect. So I guess: if we can consider the Doppler effect of the gravitational field when calculating the precession of Mercury, then the missing 44.1" will no longer need GR compensation.

Edited by TonyYuan2020
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Posted (edited)

Sources of the precession of perihelion for Mercury
Amount (arcsec/Julian century)[8]Cause
532.3035..................Gravitational tugs of other solar bodies
0.0286.....................Oblateness of the Sun (quadrupole moment)
42.9799....................Gravitoelectric effects (Schwarzschild-like), a General Relativity effect
−0.0020...................Lense–Thirring precession
575.31.......................Total predicted
574.10±0.65[7]........Observed


532.3035" I hope someone can introduce the Doppler effect of the gravitational field and recalculate it.

Planet...........

Mercury... 5.75"......... 5.50"
 

If the calculation described in the previous section is carried out more accurately, taking into account the slight eccentricities of the planetary orbits, as well as their small mutual inclinations, and retaining many more terms in the expansions (1015) and (1017), then the perihelion precession rate of the planet Mercury is found to be  arc seconds per year. However, the observed precession rate is  arc seconds per year. It turns out that the cause of this discrepancy is the general relativistic correction to Newtonian gravity.
5.50"------------------------->5.32", from these words, there are many things that can be tapped in this calculation model. Maybe you will be the first scholar to calculate the correct data. Introducing the Doppler effect of gravitational field, you may shock the world.

Edited by TonyYuan2020
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Sources of the precession of perihelion for Mercury
Amount (arcsec/Julian century)[8]Cause
532.3035..................Gravitational tugs of other solar bodies
0.0286.....................Oblateness of the Sun (quadrupole moment)
42.9799....................Gravitoelectric effects (Schwarzschild-like), a General Relativity effect
−0.0020...................Lense–Thirring precession
575.31.......................Total predicted
574.10±0.65[7]........Observed


532.3035" I hope someone can introduce the Doppler effect of the gravitational field and recalculate it.

Planet...........

Mercury... 5.75"......... 5.50"
 

If the calculation described in the previous section is carried out more accurately, taking into account the slight eccentricities of the planetary orbits, as well as their small mutual inclinations, and retaining many more terms in the expansions (1015) and (1017), then the perihelion precession rate of the planet Mercury is found to be  arc seconds per year. However, the observed precession rate is  arc seconds per year. It turns out that the cause of this discrepancy is the general relativistic correction to Newtonian gravity.
5.50"------------------------->5.32", from these words, there are many things that can be tapped in this calculation model. Maybe you will be the first scholar to calculate the correct data. Introducing the Doppler effect of gravitational field, you may shock the world.

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Regarding the existence of the Doppler effect in the gravitational field, I have clearly stated that the knowledge I used is the knowledge of classical physics, I believe everyone can understand it. The distance between the planets of our solar system is not far away, and this Doppler effect cannot be ignored by us. The acceleration of gravity in classical physics is an approximate formula g = G * M / R^2 when they are very far away from each other. But when they are relatively close to each other, the results calculated using this formula will have a relatively large deviation.

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Regarding the existence of the Doppler effect in the gravitational field, I have clearly stated that the knowledge I used is the knowledge of classical physics, I believe everyone can understand it. The distance between the planets of our solar system is not far away, and this Doppler effect cannot be ignored by us. The acceleration of gravity in classical physics is an approximate formula g = G * M / R^2 when they are very far away from each other. But when they are relatively close to each other, the results calculated using this formula will have a relatively large deviation.

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Posted (edited)

 Planet -------- Perihelion precession --------------- Afar precession (per century)

------------------------------------------------------------------------------------------------
Mercury********** 58.405"****************** 47.439"
Venus********** 38.255"****************** 38.465"
Earth********** 32.647"****************** 32.389"
Mars********** 28.245"****************** 25.653"
Jupiter********** 14.578"****************** 13.836"
Saturn********** 10.822"****************** 10.190"
Uranus********** 7.454"****************** 7.369"
Neptune********** 5.422"****************** 5.302"

These data come from program simulation. The planetary precession under the Doppler effect of gravitational field every century.

Edited by TonyYuan2020
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We study a physical force situation, often by observing its speed change. Then under the Doppler effect of the gravitational field, the speed change of the object will also be different from the change under the ordinary gravitational field (non-Doppler effect).

I wrote the planetary orbit precession under the action of the Doppler effect of the gravitational field. I found that if I remove this effect, there will be no precession in the planetary orbit, and with the Doppler effect, you can see that there is precession.

 

 

Precession under the Doppler effect of gravitational field:
Planet -------- Perihelion precession ------------ Afar precession (per century)
------------------------------------------------------------------------------------------
Mercury********** 58.404"***************** 32.938"
Venus********** 38.004"****************** 38.466"
Earth********** 33.073"****************** 32.392"
Mars********** 27.609"****************** 24.686"
Jupiter********** 14.524"****************** 13.042"
Saturn********** 10.831"****************** 9.519"
Uranus********** 7.446"****************** 6.992"
Neptune********** 6.064"***************** 5.929"

Precession under the normal gravitational field: (non-Doppler effect)
Planet -------- Perihelion precession ---- Afar precession per century
-----------------------------------------------------------------------
Mercury********** 0.000"****************** 0.000"
Venus********** 0.000"****************** 0.000"
Earth********** 0.000"****************** 0.000"
Mars********** 0.000"****************** 0.000"
Jupiter********** 0.000"****************** 0.000"
Saturn********** 0.000"****************** 0.000"
Uranus********** 0.000"****************** 0.000"
Neptune********** 0.000"****************** 0.000"
 
 
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Planet -------- Perihelion precession ---- Afar precession per century under the Doppler effect
---------------------------------------------------------------------------------------------------
Mercury********** 58.404"****************** 32.938"*******meanArc= 43.053"
Venus********** 38.004"****************** 38.466"*******meanArc= 38.236"
Earth********** 33.073"****************** 32.392"*******meanArc= 32.726"
Mars********** 27.609"****************** 24.686"*******meanArc= 26.075"
Jupiter********** 14.524"****************** 13.042"*******meanArc= 13.747"
Saturn********** 10.831"****************** 9.519"*******meanArc= 10.138"
Uranus********** 7.446"****************** 6.992"*******meanArc= 7.209"
Neptune********** 6.064"****************** 5.929"*******meanArc= 5.996"

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Planet -------- Perihelion precession ---- Afar precession per century under the Doppler effect
---------------------------------------------------------------------------------------------------
Mercury********** 58.404"****************** 32.938"*******meanArc= 43.053"
Venus********** 38.004"****************** 38.466"*******meanArc= 38.236"
Earth********** 33.073"****************** 32.392"*******meanArc= 32.726"
Mars********** 27.609"****************** 24.686"*******meanArc= 26.075"
Jupiter********** 14.524"****************** 13.042"*******meanArc= 13.747"
Saturn********** 10.831"****************** 9.519"*******meanArc= 10.138"
Uranus********** 7.446"****************** 6.992"*******meanArc= 7.209"
Neptune********** 6.064"****************** 5.929"*******meanArc= 5.996"

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