On Sunday, August 2, 2020 at 5:30:36 AM UTC-6, Lawrence Crowell wrote:
>
> The periapsis or perihelion advance of Mercury is largely a result of 
> classical perturbation theory in classical mechanics. About 10% of the 
> perihelion advance could not be accounted for by perturbation methods in 
> classical mechanics. 
>
> This has to be admired in some ways. Finding the ephemeris of Mercury is 
> tough, for the planet makes brief appearances near the sun in mornings and 
> evenings. Finding an orbital path from its course across the sky is not 
> easy. The second issue is that perturbation methods in classical mechanics 
> are difficult. These were developed arduously in the 19th century and Le 
> Verrier worked on this to find the planet Neptune from the perturbed motion 
> of Uranus in 1848. These methods were worked on through the 19th century. 
> The later work of von Zeipel and Poincare were used to compute the 
> periapsis advance of Mercury, but there was this persistent 43arc-sec/year 
> that resisted these efforts.
>
> It was general relativity that predicted this anomaly in ways that are far 
> simpler than the classical perturbation methods. This post-diction of GR 
> was an initial success in the theory, followed up shortly by the Eddington 
> expedition that found the optical effects of GR in a solar eclipse in 1919.
>
> LC
>

I appreciate your grasp of the history, but you haven't answered my 
question and don't seem aware of what it is (plus you posted your reply on 
the wrong thread). AG 

>
> On Sunday, August 2, 2020 at 3:49:28 AM UTC-5 [email protected] wrote:
>
>>
>>
>> On Saturday, August 1, 2020 at 10:35:09 PM UTC-6, Alan Grayson wrote:
>>>
>>> In flat space, which is tantamount to assuming the absence of gravity, 
>>> and non-zero curvature, a body placed at spatial coordinates x,y,z, will 
>>> move because t increments. But if there is zero curvature, in which 
>>> direction will it move? That is, how is the direction of motion determined? 
>>> TIA, AG
>>>
>>
>> CORRECTION; above, I meant to write, " ... which is tantamount to 
>> assuming the absence of gravity and ZERO curvature, ... "   AG
>>
>

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