Astronomy - General Relativity (15 of 17) Proof Theory: Precession of Apsides Calculated for Mercury

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We will now learn how to calculate precession of apsides for Mercury (see video 7 of 17, Proof of Theory: Precession of Mercury Link: • Astronomy - General Re... ) sigma=43seconds.
Next video in this series can be seen at:
• Astronomy - General Re...

[@APNambo]

Finally someone on UA-cam stated the exact reason for the precession! Which was the time dilation from the difference in the gravity along the orbit. Thank you.

[@MichelvanBiezen]

Thank you. Glad you liked it.

[@curtischee2532]

I really like how you geometrically describe the precession by connecting the perihelion with the aphelion. You show exactly what the 574 arc seconds is measuring. You are the only resource that explained exactly what is going on geometrically. Great visual explanation. Thank you so much.

[@MichelvanBiezen]

Thank you. Glad you enjoyed it.

[@doublesdetailer7709]

Amazing. Many thanks for sharing science and maths. Big respect from U.K.

[@MichelvanBiezen]

Thank you for your comment and welcome to the channel!

[@masoudbabaei1983]

Amazing, really amazing

[@MichelvanBiezen]

Thanks a lot 😊

[@mireksoja9063]

Thank you. It’s great explanation! I like he voice commenting from the inside the room.

[@denischarette-de3te]

From what I understand, gravity is curvature of space-time. That means 574 is caused by curvature of space-time. Einstein applied his theory by taking into account only the Sun and Mercury, and found 43. How come the other planets have more influence (531) than the Sun (43) on the orbit of Mercury?

[@MichelvanBiezen]

These are 2 different effects. We can calculate the gravititional influence of all the planets on each of the planets of the solar system (as you indicated by the result on Mercury). The same is done for Venus, Earth, etc. The Earth's ellipticity of its orbit is constantly changing due to the gravitational attraction of Jupiter. But since Mercury is so close to the Sun, the curvature of space-time is responsible for an additional change in Mercury's orbit that cannot be explained by the gravitational attraction of the other planets. This effect is too small for Venus and Earth so that it has not been observed.

[@michaelglynn2638]

Incredible!! And nicely done sir.

[@adriang.cornejo4800]

The paper where is described the solution for the precession of Mercury’s perihelion, but like the precession of a gyroscope (derived from the Lagrangian mechanics and the General Theory of Relativity) is the following (from 2014):
article.sapub.org/10.5923.j.astronomy.20140302.01.html

[@AaBb-yv5tj]

Nice

[@MichelvanBiezen]

Glad you liked it.

[@ameerunbegum1882]

Hi sir, Omar present.........................

[@johnsterling8927]

Hmmm... These numbers appear to be approximations. Only 2 decimal places are used for Mercury's orbital period. l would like to see the values using 100 decimal places for Mercury's orbital period.

[@MichelvanBiezen]

It depends on the purpose. Remember that observations, especially in this case, cannot be measured to that precision.

[@johnsterling8927]

@@MichelvanBiezen Really? Maybe not with observations, but with precise calculations, it can. I did the work. Here is the result, precisely to 100 digits: 42.98492198525972789591778255242306026240539090762224023569391181231823988075338968165611690948515492... Arc seconds per century.
Lesson learned: Never say it cannot be measured to that precision with math. 🪐

[@imsmoother]

Nice explanation. Would it be possible to give a general explanation for the derivation of the formula?

[@MichelvanBiezen]

We will be working on that in the future.

[@adurgh]

Does precession happen in the same plane of the orbit?

[@MichelvanBiezen]

No they are not in the same plane.

[@adurgh]

@@MichelvanBiezen Thank you for the clarification on this point

[@chvenkataseshasaipavan1660]

SIR , DOES THAT FORMULA HAVE ANYTHING TO DO WITH EINSTEIN FIELD EQUATIONS
AND IT WOULD BE GREAT IF YOU MAKE A VIDEO OF EINSTEIN FIELD EQUATIONS AND SOLUTIONS OF IT AND RESULT WE OBTAINED FROM IT.

[@MichelvanBiezen]

It is related but not the same as Einstein's field equations.

[@SkyDarmos]

Many theories predict that. It is just twice the Newtonian value. You could have told people that, but then they would be less impressed.

[@MichelvanBiezen]

Not sure what you mean by: "it is just twice the Newtonian value". Can you explain that?

[@SkyDarmos]

@@MichelvanBiezen Hm, on second thought, it is the deflection of light that is simply twice the Newtonian prediction. For the perihelion procession it isn’t the case. My bad.

[@Mathcambo]

Thank teacher 😁

[@user-rq5xn5pd9v]

First I like the video, then only I will watch the video😊

[@ericsu4667]

The theory of general relativity is invalid because it predicts the angular difference between the aphelion and the perihelion to be 2 radian for the orbit of Mercury. The actual observation is about 6.28 radian. More in
'80. Schwarzschild's Geodesic and the Orbit of Mercury '
on this website:
sites.google.com/view/physics-news/home/updates

[@جحخخحج-ل1ض]

1000like

[@trevor062]

Sir, is this equation applicable for all planets or just for Mercury?

[@rhoddryice5412]

For everything, but you'll hardly notice the difference.

[@ericsu4667]

There is an error in Albert Einstein's paper about Mercury. Two roots of one equation are imaginary numbers which Einstein used to calculate precession.
Click on "67. Error In Einstein's Calculation Of Perihelion For Mercury" on this website.
sites.google.com/view/physics-news/gravitation

[@andrejgrebenc3235]

Wrong it is not "sec", but "s".

[@MichelvanBiezen]

Yes, the "proper" unit abbreviation is "s" for seconds, but sec is also used and I prefer it.

[@mhdabb9554]

I suppose to wait another 200 years to final check

[@Discoverer-of-Teleportation]

exactly