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Old August 26th 07 posted to sci.physics,sci.physics.relativity
Androcles
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Default GPS frequency shift calculation


"Paul B. Andersen" wrote in message
...
: Henri Wilson wrote:
: On Tue, 07 Aug 2007 11:45:54 GMT, "Androcles"

: wrote:
:
: "qbit" wrote in message
: ...
: : For the well known relativistic correction of 38 microseconds per day
: : they do a frequence shifting in the transmitters of the GPS
satellites.
: : They shift the frequence down from 10.23 MHz to 10.22999999543 MHz
: instead.
:
: Shifting frequency doesn't change time, it changes N where N = t.f
: Example:
: t = 1 second, f = 1 Hz, number of cycles counted N = 1
: t = 1 second, f = 2 Hz, number of cycles counted N =2
: t = 1 second, f = 1 MHz, number of cycles counted N =1,000,000
: t = 60 seconds, f = 10 MHz, number of cycles counted N =600,000,000
: N = t.f
:
: Questions:
: What does the term "4.465 parts in 10^10" mean?
:
: The number of extra cycles that suddenly appeared out of nowhere.
: They were not sent but they did arrive.
: If you send 10,229,999,995.43 cycles in a second (or an hour or a day)
and
: 10,230,000,000 arrive in a second (or an hour or day) then 45.7 cycles
: magically appeared out of thin aether. The number of cycles sent has to
: match the number of cycles received no matter what time frame they are
: sent in.
:
: What does it represent? The 38 us/d ? How?
: How is this value calculated?
:
: As a matter of interest, Ballistic theory comes up with exactly the same
figure
: of 45.7.
: BaTh says photons accelerate as they fall to Earth, just like anything
else.
: The fractional change in speed multiplied by the number of seconds in a
day
: just happens to produce the magic figure of 45.7
:
: **********************************
: G=6.67E-11
: Solar Mass = 5.983E24 kgm
: Equatorial Radius = 6378388 m
:
: GPS : velocity of 3.874 km/s at an altitude of 20,184 km = 26562388 m
from
: centre
:
: ______________________
:
: For unit mass starting at velocity c:
:
: F= -GM/r^2
:
: O---------o 26600
:
: d(PE)=$Fdr= [GMm/r] from r1 to r2
: _____________
: GM=6.67E-11 * 5.983E24 kgm
:
: = 3.9907 E14
: _____________
:
: Determine 1/r1-1/r2
:
: 1/Re= 15.68E-8
: 1/Rs= 3.76E-8
: 1/r1-1/r2= 1.192E-7
:
: (altrnatively: 20,184,000/169e12 = 1.19E-7)
:
: Lost PE= 4.757E7
:
: This equals gained KE = 1/2[(c+v)^2] - 1/2(c^2)
:
: ~cv
:
: velocity gained = 4.757E7/2.997E8
:
: = 1.59E-1 m/sec
:
: as proportion of c: v/c = 5.3E-10
:
: multiply by seconds per day= 457920E-10
:
: = 45.7E-6
:
:
: Does this mean that the BaTh predicts that clocks on
: a higher gravitational potential will run faster?
:
: Paul

It means the kooks haven't be booked for cooking the books.

'we establish by definition that the "time" required by
light to travel from A to B equals the "time" it requires
to travel from B to A' because I SAY SO and you have to
agree because I'm the great genius, STOOOPID, don't you
dare question it. -- Albert Einstein,
who in 1895 failed an examination that would have allowed
him to study for a diploma as an electrical engineer at
the Eidgenössische Technische Hochschule in Zurich
(couldn't even pass the SATs).

http://www.androcles01.pwp.blueyonde...rt/tAB=tBA.gif
"Counterfactual assumptions yield nonsense.
If such a thing were actually observed, reliably and reproducibly, then
relativity would immediately need a major overhaul if not a complete
replacement." -- Tom Roberts.




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