Relativistic location algorithm in curved spacetime
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F22%3A00567180" target="_blank" >RIV/68378271:_____/22:00567180 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevD.106.044034" target="_blank" >https://doi.org/10.1103/PhysRevD.106.044034</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.106.044034" target="_blank" >10.1103/PhysRevD.106.044034</a>
Alternative languages
Result language
angličtina
Original language name
Relativistic location algorithm in curved spacetime
Original language description
We describe and numerically implement a method for relativistic location in slightly curved but otherwise generic spacetimes. For terrestrial positioning, our algorithm incorporates gravitational as well as tropospheric and ionospheric effects modeled by the Gordon metric. The algorithm is implemented in the SQUIRREL.JL code, which employs a quasi-Newton Broyden algorithm in conjunction with automatic differentiation of numerical geodesics. Our work provides a practical solution to the relativistic location problem in a generic spacetime and consolidates relativistic and atmospheric effects in a single framework. Our implementation is already fast enough for practical use, establishing a position from five emission points in < 1 s on a desktop computer for reasonably simple spacetime geometries. In vacuum, our implementation can achieve submillimeter accuracy considering the Kerr metric with terrestrial parameters and submeter accuracy including tropospheric and ionospheric effects.n
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
<a href="/en/project/GJ20-16531Y" target="_blank" >GJ20-16531Y: Implications of non-standard particle and gravitational models for cosmology.</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
106
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
044034
UT code for WoS article
000860618900005
EID of the result in the Scopus database
2-s2.0-85136612752