I looked at the precession question, wrote it in WORD and then posted it in 
the wrong thread. A big line of anti-virus defense is working off-line. I 
do a lot of work locally and pop on and off the internet. I try to never 
leave my machines on-line with an open port for anyone or any bot to enter 
to cause mischief.

With this the question is odd. How something moves in free and flat space 
and spacetime is just determined by its initial conditions.

LC



On Sunday, August 2, 2020 at 9:05:57 AM UTC-5 [email protected] wrote:

>
>
> 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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