diplomska naloga
Blaž Jelenc (Author), Bojan Stopar (Mentor), Mitja Lakner (Co-mentor)

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.

Keywords

geodezija;diplomska dela;UNI;splošna relativnost;GPS opazovanja;

Data

Language: Slovenian
Year of publishing:
Typology: 2.11 - Undergraduate Thesis
Organization: UL FGG - Faculty of Civil and Geodetic Engineering
Publisher: [B. Jelenc]
UDC: 528.28:(043.2)
COBISS: 3185249 Link will open in a new window
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Downloads: 569
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Other data

Secondary language: English
Secondary title: Relativistic effects on GPS observations
Secondary 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.
Secondary keywords: general relativity;GPS observations;
File type: application/pdf
Type (COBISS): Undergraduate thesis
Thesis comment: Univ. Ljubljana, Fakulteta za gradbeništvo in geodezijo, Oddelek za geodezijo, Univerzitetni študij geodezije, Smer: Geodezija
Pages: IX, 58 str.
ID: 8310569