Re: The GPS GR Correction, put to Rest.
From: Henri Wilson (H_at_..(Henri)
Date: 09/26/04
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Date: Sun, 26 Sep 2004 00:32:45 GMT
On 25 Sep 2004 12:41:13 -0700, kenseto@erinet.com (Ken Seto) wrote:
>H@..(Henri Wilson) wrote in message news:<vre6l0tu5m13q91031bpac7hl5erjrucmk@4ax.com>...
>> As you know, a 'GR correction' is applied to GPS clocks in order to make their
>> rates in orbit the same as they were on the ground. The correction itself
>> involves two terms, one supposedly to accommodate gravity differences and the
>> other for relative velocity. Without the velocity term, the correction would be
>> 20% out.
>>
>> This simple experiment, which is a modification of my previous one, shows that
>> no such velocity component exists.
>>
>> The experiment involves a large and perfectly spherical planet that is not
>> rotating. Three observers A, B and G, with identical clocks are positioned
>> together on the surface, where there clocks are synchronized.
>>
>> A and B are subsequently launched into orbit in opposite directions, 1 metre
>> from the surface. G climbs onto a 1 metre high tower. The velocities and orbits
>> of A and B are adjusted so that they always meet at the instant they pass G.
>
>This means that they both A and B need to keep on accelerating to
>maintain the 1 meter height orbit. This means that SR does not apply.
Oh well, in that case it doesn't apply to any orbiting clocks, such as the GPS.
>
>> Thus, the three can compare their readings each time they pass. A and B can
>> also compare readings as they pass each other on the opposite side of the
>> planet. Assume A and B are rotating once per orbit so that they are in tidal
>> lock with the planet.
>>
>> According to SR, both A and B will appear to run slow in G's frame.
>
>NO ....according to Henri.
Oh well, in that case the GPS clocks don't run slow due to their velocity.
I agree Ken.
>
>>
>> According to some SRians and not others, A will run slow in B's frame and B
>> will run slow in A's frame. (another 'twins paradox')
>> However, it is obvious from the symmetry of the setup that A and B will always
>> be in synch with each other.
>
>NO this assumption is wrong. As long as A and B are in relative motion
>they will have different clock rates compared to each other.
But whenever they meet, twice each orbit, their readings will be the same.
How do you explain that, Ken?
>
>
>Ken Seto
HW.
www.users.bigpond.com
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