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Hello, this is my first post. I am a programmer from Regina, SK Canada who likes to learn about Physics when I have spare time.

My question:

Does anyone know the name of the following solution for the perihelion shift? I do not know who to attribute it to. Thank you for your time.

For Mercury, when the orbit is simplied to being circular:

[tex]t &=& 88\times24\times60\times60[/tex]

[tex]r &=& \frac{perihelion + aphelion}{2}[/tex]

[tex]v &=& \frac{2\pi r}{t}[/tex]

[tex]n &=& 2\pi[1 - \cos(\arcsin(v/c))][/tex]

[tex]\delta &=& n\times360\times60\times60\times415 &=& 43.1[/tex]

For Earth:

[tex]t &=& 365\times24\times60\times60[/tex]

...

[tex]\delta &=& n\times360\times60\times60\times100 &=& 4[/tex]

I arrived at the preceding solution while trying to verify if the following acceleration equation works for simulating the transverse gravitation of bodies travelling at less than the speed of light:

[tex]a &=& \frac{GM[2 - \cos(\arcsin(v/c))]}{r^2}[/tex]

- Shawn

P.S. I will be buying my copy of Gravitation by Misner, et al. soon. Does anyone recommend any other books on this subject of General Relativity?

P.P.S. I already have my copy of Relativity: The Special and the General Theory by Albert Einstein, which includes the equation I used to verify the preceding results:

[tex]\frac{24\pi^3a^2}{T^2c^2(1 - e^2)}[/tex]

My question:

Does anyone know the name of the following solution for the perihelion shift? I do not know who to attribute it to. Thank you for your time.

For Mercury, when the orbit is simplied to being circular:

[tex]t &=& 88\times24\times60\times60[/tex]

[tex]r &=& \frac{perihelion + aphelion}{2}[/tex]

[tex]v &=& \frac{2\pi r}{t}[/tex]

[tex]n &=& 2\pi[1 - \cos(\arcsin(v/c))][/tex]

[tex]\delta &=& n\times360\times60\times60\times415 &=& 43.1[/tex]

For Earth:

[tex]t &=& 365\times24\times60\times60[/tex]

...

[tex]\delta &=& n\times360\times60\times60\times100 &=& 4[/tex]

I arrived at the preceding solution while trying to verify if the following acceleration equation works for simulating the transverse gravitation of bodies travelling at less than the speed of light:

[tex]a &=& \frac{GM[2 - \cos(\arcsin(v/c))]}{r^2}[/tex]

- Shawn

P.S. I will be buying my copy of Gravitation by Misner, et al. soon. Does anyone recommend any other books on this subject of General Relativity?

P.P.S. I already have my copy of Relativity: The Special and the General Theory by Albert Einstein, which includes the equation I used to verify the preceding results:

[tex]\frac{24\pi^3a^2}{T^2c^2(1 - e^2)}[/tex]

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