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Old February 21st 08 posted to sci.physics.relativity
Paul B. Andersen
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Posts: 1,660
Default GPS CLOCK PARADOX

Androcles wrote:
"Randy Poe" wrote in message
...
| On Feb 20, 7:43 am, "Androcles" wrote:
| The second is the duration of 9 192 631 770 periods of the radiation
| corresponding to the transition between the two hyperfine levels of the
| ground state of the cesium 133 atom. - NIST.
| That's 10 significant figures, Tusseladd has more than NIST.


Is there any particular reason why you snipped this: ?
"Randy Poe" wrote:
| Nevertheless, here's what NIST says about their
| time accuracy:
|
| http://tf.nist.gov/general/precision.htm
|
| "The best cesium oscillators (such as NIST-F1) can
| produce frequency with an uncertainty of about
| 1 x 10-15, which translates to a time error of
| about 0.1 nanoseconds per day."
|
| That would be 15 significant figures.


Could it be because it shows the stupity in your beleif
that the precision of the _definition_:
"The second is the duration of 9 192 631 770 periods of the radiation
corresponding to the transition between the two hyperfine levels of the
ground state of the cesium 133 atom."
is only one part in 10^10?

A second is the duration of _exactly_ 9 192 631 770 cycles,
that is 9192631770.00000000000000000000000... cycles.

You don't know anything, Poe, you are a world class ****wit.
According to the cretin Andersen, a million years is 1000000.0006797
years.


Quite.
And according to Androcles, a million years is 994222.168323667 years
(That's 15 significant digits! Androcles has more than NIST!)

Androcles wrote previously.
If you use GR to calculate the time on Earth vs the time on the Moon
http://en.wikipedia.org/wiki/Gravita..._time_dilation

tf = 1,000,000 years
gravitational constant G = 6.673E-11 m3 kg-1 s-2
Mass of Earth = 5.9736E+24 kg
r = 385000 km (distance to Moon)
c = 299792.458 km/sec

t0 = 994222.168323667

An observer on Earth measures the Moon making ~6 more
orbits around the Sun in a thousand years, as prophesied
by Einstein. You'd think someone would notice by now.


Of course Androcles' calculation is wrong.
His time difference is a billion times too big,
and the sign is wrong. With 15 significant digits!
You can't beat Androcles when it comes to making wrong
calculations with a high precision! :-)

The correct numbers a
While an observer on the Earth measure 1,000,000 years,
an observer on the Moon (if we ignore the mass of the Moon)
would measure 1000000.0006797 years.
That is approximately 6 hours more than the observer on the Earth.

(The rate of a clock in the same orbit as the Moon compared
to a clock on the ground is: delta_f/f = 6.797E-10)

--
Paul

http://home.c2i.net/pb_andersen/
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