Relativistic location algorithm in curved spacetime

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Relativistic location algorithm in curved spacetime

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Relativistic location algorithm in curved spacetime

Popis výsledku anglicky

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

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/GJ20-16531Y" target="_blank" >GJ20-16531Y: Implikace nestandardních modelů částic a gravitačních modelů pro kosmologii.</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

2470-0029

Svazek periodika

106

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

044034

Kód UT WoS článku

000860618900005

EID výsledku v databázi Scopus

2-s2.0-85136612752