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Relativnostni vplivi na GPS opazovanja : diplomska naloga
ID Jelenc, Blaž (Author), ID Stopar, Bojan (Mentor) More about this mentor... This link opens in a new window, ID Lakner, Mitja (Co-mentor)

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PID: 20.500.12556/rul/f7a481e9-527d-4026-995e-196c409200d1

Abstract
Diplomsko delo obravnava relativnostne vplive na GPS opazovanja. Na začetku sta na kratko predstavljeni posebna in splošna teorija relativnosti. V poglavju posebne relativnosti sta predstavljena pojma Lorentzove transformacije in lastnega časa. V poglavju o splošni relativnosti sta definirana in na kratko predstavljena pojma tenzorja in mnogoterosti, v nadaljevanju pa še slavne Einsteinove enačbe polja ter oris fizikalnega ozadja teh enačb. Sledi podrobna izpeljava enačb za Dopplerjev pojav in lastni čas v Schwartzschildovi metriki, ki jih nato uporabim na relaciji satelit-sprejemnik, kjer se sprejemnik nahaja na geoidu. V nadaljevanju si ogledamo postopke sinhronizacije ur, ki so bistveni pri vzpostavitvi koordinatnega časa. Zadnje poglavje vse dotedanje ugotovitve uporabi pri obravnavi kodnih in faznih opazovanj, kjer nekoliko presenetljivo (a pričakovano) odkrijemo, da so relativnostni vplivi na obe vrsti opazovanj praktično enaki.

Language:Slovenian
Keywords:geodezija, diplomska dela, UNI, splošna relativnost, GPS opazovanja
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FGG - Faculty of Civil and Geodetic Engineering
Place of publishing:Ljubljana
Publisher:[B. Jelenc]
Year:2006
Number of pages:IX, 58 str.
PID:20.500.12556/RUL-32070 This link opens in a new window
UDC:528.28:(043.2)
COBISS.SI-ID:3185249 This link opens in a new window
Publication date in RUL:10.07.2015
Views:2045
Downloads:593
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Secondary language

Language:English
Title:Relativistic effects on GPS observations : graduation thesis
Abstract:
Diploma presents relativistic effects on GPS observations. First and second chapter are a short introduction to special and general theory of relativity, where notions of proper time, Lorentz transform, tensor and manifold are presented. Famous Einstein field equations follow and I give a brief explanation of physical backgroung. A detailed derivation of Doppler effect and proper time equations in Schwartzschild metric follows, which are then used in connection with satellite and reciver, where the reciver is supposed to be placed on geoid. An important chapter on clock synchronisation is also included, methods described there are important in construction of coordinate time. Last chapter deals with code and phase observations, and an important conclusion is that relativistic effects on these two different types of observations are basically the same.

Keywords:general relativity, GPS observations

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