On Sunday, August 2, 2020 at 5:00:22 PM UTC-6, Alan Grayson wrote:
>
>
>
> On Sunday, August 2, 2020 at 1:55:15 PM UTC-6, Lawrence Crowell wrote:
>>
>> 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
>>
>
> If one starts with SR and zero curvature of spacetime, and places a test 
> particle in that spacetime spatially at rest, how will spacetime tell 
> matter how to move if spacetime isn't curved? AG 
>

I think in this situation the direction of motion is ambiguous. AG 

>
>>
>>
>>
>> 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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