Numerical Modelling of Satellite Downlink Signals in a Finslerian-Perturbed Schwarzschild Spacetime
The work presented in this paper aims to contribute to the problem of testing Finsler gravity theories by means of experiments and observations in the solar system. Within a class of spherically symmetric static Finsler spacetimes we consider a satellite with an on-board atomic clock, orbiting in th...
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MDPI AG
2020-04-01
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| Online Access: | https://www.mdpi.com/2218-1997/6/4/57 |
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| author | Ingo Abraham Wolfgang Hasse Martin Plato |
| author_facet | Ingo Abraham Wolfgang Hasse Martin Plato |
| author_sort | Ingo Abraham |
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| description | The work presented in this paper aims to contribute to the problem of testing Finsler gravity theories by means of experiments and observations in the solar system. Within a class of spherically symmetric static Finsler spacetimes we consider a satellite with an on-board atomic clock, orbiting in the Finslerian-perturbed gravitational field of the earth, whose time signal is transmitted to a ground station, where its receive time and frequency are measured with respect to another atomic clock. This configuration is realized by the Galileo 5 and 6 satellites that have gone astray and are now on non-circular orbits. Our method consists in the numerical integration of the satellite’s orbit, followed by an iterative procedure which provides the numerically integrated signals, i.e., null geodesics, from the satellite to the ground station. One of our main findings is that for orbits that are considerably more eccentric than the Galileo 5 and 6 satellite orbits, Finslerian effects can be separated from effects of perturbations of the Schwarzschild spacetime within the Lorentzian geometry. We also discuss the separation from effects of non-gravitational perturbations. This leads us to the conclusion that observations of this kind combined with appropriate numerical modelling can provide suitable tests of Finslerian modifications of general relativity. |
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| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T20:21:27Z |
| publishDate | 2020-04-01 |
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| spelling | doaj.art-9cd7902da75e4299b18514170ce1ea8c2023-11-19T22:10:10ZengMDPI AGUniverse2218-19972020-04-01645710.3390/universe6040057Numerical Modelling of Satellite Downlink Signals in a Finslerian-Perturbed Schwarzschild SpacetimeIngo Abraham0Wolfgang Hasse1Martin Plato2Wilhelm Foerster Observatory Berlin, Munsterdamm 90, 12169 Berlin, GermanyWilhelm Foerster Observatory Berlin, Munsterdamm 90, 12169 Berlin, GermanyWilhelm Foerster Observatory Berlin, Munsterdamm 90, 12169 Berlin, GermanyThe work presented in this paper aims to contribute to the problem of testing Finsler gravity theories by means of experiments and observations in the solar system. Within a class of spherically symmetric static Finsler spacetimes we consider a satellite with an on-board atomic clock, orbiting in the Finslerian-perturbed gravitational field of the earth, whose time signal is transmitted to a ground station, where its receive time and frequency are measured with respect to another atomic clock. This configuration is realized by the Galileo 5 and 6 satellites that have gone astray and are now on non-circular orbits. Our method consists in the numerical integration of the satellite’s orbit, followed by an iterative procedure which provides the numerically integrated signals, i.e., null geodesics, from the satellite to the ground station. One of our main findings is that for orbits that are considerably more eccentric than the Galileo 5 and 6 satellite orbits, Finslerian effects can be separated from effects of perturbations of the Schwarzschild spacetime within the Lorentzian geometry. We also discuss the separation from effects of non-gravitational perturbations. This leads us to the conclusion that observations of this kind combined with appropriate numerical modelling can provide suitable tests of Finslerian modifications of general relativity.https://www.mdpi.com/2218-1997/6/4/57Finsler spacetimesnumerical modellingorbit integrationEarth satellitesfrequency shiftmodified theories of gravity |
| spellingShingle | Ingo Abraham Wolfgang Hasse Martin Plato Numerical Modelling of Satellite Downlink Signals in a Finslerian-Perturbed Schwarzschild Spacetime Universe Finsler spacetimes numerical modelling orbit integration Earth satellites frequency shift modified theories of gravity |
| title | Numerical Modelling of Satellite Downlink Signals in a Finslerian-Perturbed Schwarzschild Spacetime |
| title_full | Numerical Modelling of Satellite Downlink Signals in a Finslerian-Perturbed Schwarzschild Spacetime |
| title_fullStr | Numerical Modelling of Satellite Downlink Signals in a Finslerian-Perturbed Schwarzschild Spacetime |
| title_full_unstemmed | Numerical Modelling of Satellite Downlink Signals in a Finslerian-Perturbed Schwarzschild Spacetime |
| title_short | Numerical Modelling of Satellite Downlink Signals in a Finslerian-Perturbed Schwarzschild Spacetime |
| title_sort | numerical modelling of satellite downlink signals in a finslerian perturbed schwarzschild spacetime |
| topic | Finsler spacetimes numerical modelling orbit integration Earth satellites frequency shift modified theories of gravity |
| url | https://www.mdpi.com/2218-1997/6/4/57 |
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