Gravity speed of 10.6c gives Mercury 43 arcs/cent.
Posted: Wed Feb 26, 2020 10:16 pm
Mathpages – 6.2 – says ......... https://www.mathpages.com/rr/s6-02/6-02.htm
......Hall noted that he could account for Mercury's precession if the law of gravity, instead of falling off as 1/r^2, actually falls of as 1/r^n where the exponent n is 2.00000016.......
I crunched some numbers in Excel & i found that Hall's exponent of 2.00000016 was equivalent to gravity having a speed of 10.6c.
Mercury's orbit goes from 46 million km to 70 million km in 44 days, which is an average change of 6.3131 km/s.
The average orbit is 58 million km.
If R^2.00000016 equals r^2, then R equals 57.999 885 million km, which is 115 km less.
Mercury on average takes 18.2154 sec to change its orbit by 115 km (ie at 6.3131 km/s).
A speed of 57 999 885 km in 18.2154 sec is 3.1841 million km/s, which is 10.6c.
I fail to understand how a symmetrical 2-body force can give precession, & all orbital 2-body forces are symmetrical.
However assuming that i am missing something, & assuming that Hall's equations were correct (but the mechanics not), the 43 arcs/cent can be explained by the exponent for r being 2.000000000, but with gravity having a speed of 10.6c.
Me myself i prefer a much faster speed for gravity, affecting precession in a tangential way, rather than the above (symmetrical) longitudinal gravity effect. I will have a think about it. Firstly, a tangential effect is likely to be non-symmetrical, so that would be a good start.
Mathpages -- 8.10 -- has some good stuff re Gerber. And Einstein's earlier 18 arcs/cent.
https://www.mathpages.com/rr/s8-10/8-10.htm
Mathpages – Gerber's Gravity.
https://www.mathpages.com/home/kmath527/kmath527.htm
Pejic mentions Asaph Hall (1894).
https://math.berkeley.edu/~mpejic/pdfdo ... ession.pdf
Page 1275 mentions Hall's theory.
http://adsabs.harvard.edu/full/2005MNRAS.358.1273V
......Hall noted that he could account for Mercury's precession if the law of gravity, instead of falling off as 1/r^2, actually falls of as 1/r^n where the exponent n is 2.00000016.......
I crunched some numbers in Excel & i found that Hall's exponent of 2.00000016 was equivalent to gravity having a speed of 10.6c.
Mercury's orbit goes from 46 million km to 70 million km in 44 days, which is an average change of 6.3131 km/s.
The average orbit is 58 million km.
If R^2.00000016 equals r^2, then R equals 57.999 885 million km, which is 115 km less.
Mercury on average takes 18.2154 sec to change its orbit by 115 km (ie at 6.3131 km/s).
A speed of 57 999 885 km in 18.2154 sec is 3.1841 million km/s, which is 10.6c.
I fail to understand how a symmetrical 2-body force can give precession, & all orbital 2-body forces are symmetrical.
However assuming that i am missing something, & assuming that Hall's equations were correct (but the mechanics not), the 43 arcs/cent can be explained by the exponent for r being 2.000000000, but with gravity having a speed of 10.6c.
Me myself i prefer a much faster speed for gravity, affecting precession in a tangential way, rather than the above (symmetrical) longitudinal gravity effect. I will have a think about it. Firstly, a tangential effect is likely to be non-symmetrical, so that would be a good start.
Mathpages -- 8.10 -- has some good stuff re Gerber. And Einstein's earlier 18 arcs/cent.
https://www.mathpages.com/rr/s8-10/8-10.htm
Mathpages – Gerber's Gravity.
https://www.mathpages.com/home/kmath527/kmath527.htm
Pejic mentions Asaph Hall (1894).
https://math.berkeley.edu/~mpejic/pdfdo ... ession.pdf
Page 1275 mentions Hall's theory.
http://adsabs.harvard.edu/full/2005MNRAS.358.1273V