• Corpus ID: 54678162

Using a Syntonized Free Fall Grid of Atomic Clocks in Ehlers-Pirani-Schild Weyl Space to Derive Second Order Relativistic GNSS Redshift Terms

  title={Using a Syntonized Free Fall Grid of Atomic Clocks in Ehlers-Pirani-Schild Weyl Space to Derive Second Order Relativistic GNSS Redshift Terms},
  author={E.P.J. de Haas},
In GNSS, the improvement of atomic clocks will lead to Phi/c^2 in relativistic gravitational redshift three to four decades from today. Research towards a relativistic positioning system capable of handling this expected accuracy is all based upon the Schwarzschild metric as a replacement of todays GNSS Euclidian-Newtonian metric. The method employed in this paper to determining frequency shifts between atomic clocks is an intermediate Minkowski-EEP approach. This approach is based on relating… 

Figures from this paper

Pulsar Frequency and Pulsar Tilted Axis Explained as Geodetic Precession Effects
The hypothesis is presented that pulsar-time is geodetic precession rotation time, in both the causal sense and the quantitative sense (T-pulsar exactly equals T-geodetic). The causal sense implies


Relativistic theory for time and frequency transfer to order c -3
This paper is motivated by the current development of several space missions (e.g. ACES on International Space Station) that will use Earth-orbit laser cooled atomic clocks, providing a time-keeping
Relativistic positioning in Schwarzschild space-time
In the Schwarzschild space-time created by an idealized static spherically symmetric Earth, two approaches -based on relativistic positioning- may be used to estimate the user position from the
Optical clocks and relativity
Relativity Comes Down to Earth Over a century ago, Einstein presented the theory of relativity—where space and time are no longer fixed concepts, but are relative to an observer and their frame of
Normal gravity field in relativistic geodesy
Modern geodesy is subject to a dramatic change from the Newtonian paradigm to Einstein's theory of general relativity. This is motivated by the ongoing advance in development of quantum sensors for
Test of the principle of equivalence by a null gravitational red-shift experiment
A test of the Einstein equivalence principle (EEP) was performed by carrying out a ''null'' gravitational red-shift experiment. The experiment compared the rates of a pair of hydrogen maser clocks
Feasibility of a second-order gravitational red-shift experiment
The number of gravitation experiments undertaken since the advent of Einstein's theory of gravitation is quite small, with, so far, only the famous perihelion-advance experiment and a recent lunar
Relativistic Positioning System in perturbed spacetime
We present a variant of a Global Navigation Satellite System called a Relativistic Positioning System (RPS), which is based on emission coordinates. We modelled the RPS dynamics in a spacetime around
On the universality of free fall, the equivalence principle, and the gravitational redshift
Through the contributions of Galileo, Newton, and Einstein, we recall the universality of free fall (UFF), the weak equivalence principle (WEP), and the strong equivalence principle (SEP), in order
The geodetic precession as a 3D Schouten precession and a gravitational Thomas precession
The Gravity Probe B (GP-B) experiment measured the geodetic precession due to parallel transport in a curved space–time metric, as predicted by de Sitter, Fokker, and Schiff. The Schiff treatment
Relativity in the Global Positioning System
  • N. Ashby
  • Physics
    Living reviews in relativity
  • 2003
The conceptual basis, founded on special and general relativity, for navigation using GPS, and experimental tests of relativity obtained with a GPS receiver aboard the TOPEX/POSEIDON satellite will be discussed.