With
classical physics it is also possible the correction of the clocks on the GPS.
The correction of the clocks on
the GPS is announced as one of the biggest hits of the theory of general
relativity, but this work exposes that the clocks in the satellite systems, not
only can be corrected with Albert Einstein's theory of relativity, but also
with the theory of classical physics.
Based on a mathematical formula that has been
published by Paul Gerber in 1898, as the solution to explain the anomaly of the
perihelion of mercury, it also makes a relationship in the theoretical
explanation of classical physics, and the techniques of parabolic flight, as
the experimental way to confirm the theory of Gerber. Finally concludes that the correction of the clocks on
the GPS has two theoretical ways to express themselves, but a single
mathematical form.
Introduction;
We have all heard that without the theory of
relativity the GPS fail in its navigation function.
Einstein's theory of general relativity says that the
curves of gravity space and time, giving rise to a tendency for the clocks in
orbit around dial a little faster, the clocks on the satellites are moved to
14,000 km/hr in orbits that revolve around the Earth twice a day, much faster
than the clocks on the Earth's surface. The net result is that the time in a clock of GPS
satellite moves faster than a clock on the ground by about 38 microseconds per
day.
The response of relativity to this time-lag is
originated from the mathematical formula which Albert Einstein in 1915
responded to the anomaly on the advance of the perihelion of mercury, based on
their conception of curvature of space and time.
Paul Gerber (born in 1854 Berlin, Germany, and died August 13
1909 Freiburg, Germany) was a German physicist known for his controversial work
in the speed of gravity and the change of perihelion of the orbit of Mercury.
The mathematical formula with which he explained the
anomaly of the perihelion of mercury was;
This formula is mathematically identical to that of
Albert Einstein (1915) from general relativity. But his theory is very
different, while Albert Einstein stated in his theory that the anomaly of the
perihelion of mercury is caused by the curvature of space time, Paul Gerber
(1898) he said, that the force between two masses could be corrected by a term
that depends on the speed at which these masses are moved.
The atomic clock is a type of clock to feed its counter uses a
frequency of atomic resonance normal. The best references atomic frequency (or
clocks) modern are based on physical more advanced involving cold atoms and
atomic.
The atomic clocks maintained a timeline continuous and
stable, the Atomic time (TAI). For everyday use is spreading another time
scale: the Coordinated Universal Time (UTC). The UTC is derived from TAI, but
synchronized using seconds of collation with the Universal Time (UT1), which is
based on transition day-night according to the astronomical observations.
Physicists at the National Institute of standards and
technology (NIST), USA, where the first atomic clock in 1949, have achieved a
double record of accuracy with a clock pilot that uses atoms of strontium
instead of cesium. His calculations suggest that the agents that affect the
ticking atomic, such as gravity
or electromagnetic fields, it would
need 15,000 million years to make the clock will delay or advance a second.
Parabolic Flight is a flying technique in which an aircraft ready for
it (the cab of the passage is empty and cushions, at least in part) drops in a
controlled manner to that in its interior get a state similar to that of the
free fall in a vacuum. This maneuver allows it to simulate the effect of
microgravity for short periods of time in the inside of the appliance.
By the time it reaches the 6000 meters of altitude,
approximately, the plane maintains (or starts, if this is the case) a climb at
an angle of 47 º, which causes a sensation of on gravity in its interior of
between 1.8 and 2 g. By reaching out to about 8000 m changes the trajectory,
begins a tilt lower progressive during which the power of the engines low up to
a minimum which is used to counteract the resistance of the air, The sensation
of gravity low to values close to zero. After a few seconds of lowering
aircraft will progressively increased, with what the sensation of gravity
increases gradually, the engines are increasing power to level the appliance on
the 6000 m and ascends again, returning to suffer a effect on gravity, and this
way alternatively.
Results;
The GPS could also be corrected by the mathematics of
classical physics, and more precisely because the mathematical formula of the
German physicist Paul Gerber, is equal to the one described by Albert Einstein
to give answers to the malfunction of the perihelion of mercury, formula that
is used for the correction on the clocks on the GPS. The differences between
the two answers to the malfunction of the perihelion of mercury are only
theoretical. While Einstein was recognized by explain this anomaly as the
result of the curvature of space time, Paul Gerber makes it from the
perspective of classical physics as the result the force of the masses as
consequences of the difference in the speeds.
But in recent years, the theory of Gerber seems to be
strengthened, not only because he was the first to explain mathematically the
anomaly of the perihelion of mercury, but now a flying technique called
parabolic flight, confirm all the days, experimentally that Gerber also had the
theoretical reason.
We know that the atomic clocks can be affected by the
force of gravity, and this force also depends on the speed, as we see
experimentally in the technique of parabolic flight, now the gravity produced
by the curvature of space time as theorized Albert Einstein, is more
complicated to verify experimentally.
Conclusion;
It can be concluded that the clocks in satellite
systems, not only can be corrected with the theory of general relativity, but
also with the theory of classical physics on gravity, based on the mathematical
formula that published Paul Gerber in 1898, which
GPS not would fail in his navigation function, if it disappeared relativity. In
addition the theoretical explanation of Paul Gerber may be proven
experimentally by parabolic flight techniques. Finally it can also say that the
correction of the GPS has two theoretical ways to express themselves, but a
single mathematical form.
Bibliography;
http://physicscentral.com/explore/writers/will.cfm.
https://en.wikipedia.org/wiki/Paul_Gerber
https://es.wikipedia.org/wiki/Reloj_at%C3%B3mico
http://elpais.com/elpais/2015/04/21/ciencia/1429625205_847314.html
https://es.wikipedia.org/wiki/Vuelo_parab%C3%B3lico
https://es.wikipedia.org/wiki/Gravedad
http://www.cienciapopular.com/experimentos/gravedad-cero
http://francis.naukas.com/2010/08/02/la-historia-de-la-anomalia-en-el-avance-del-perihelio-de-mercurio-y-la-formula-de-gerber-einstein/
