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Master's Dissertation
DOI
10.11606/D.3.2002.tde-09072003-195706
Document
Author
Full name
Marco Antônio Silva
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2002
Supervisor
Committee
Blitzkow, Denizar (President)
Segantine, Paulo Cesar Lima
Silva, Antonio Simões
Title in Portuguese
Obtenção de um modelo geoidal para o Estado de São Paulo.
Keywords in Portuguese
geodésia física
geóide
geopotencial
GPS
gravidade
Abstract in Portuguese
O sistema GPS tem sido largamente usado para posicionamento. Vislumbra-se o potencial uso deste sistema para determinação de altitudes ortométricas, substituindo o oneroso e demorado processo de nivelamento geométrico. Para isso, um modelo geoidal com precisão absoluta submétrica e precisão relativa da ordem de 2 ppm é necessário. Este modelo pode ser dividido em duas componentes: longo e curto comprimento de onda. O modelo do geopotencial fornece a componente de longo comprimento de onda da altura geoidal, enquanto que a gravimetria associada a um modelo digital do terreno permite calcular a componente de curto comprimento de onda através da integral modificada de Stokes. Algumas das modificações da função de Stokes são comparadas. Dois métodos de avaliação desta integral, integração direta e FFT são mostrados no trabalho. Como resultado dessas comparações, obtém-se um modelo geoidal para o Estado de São Paulo
Title in English
Determination of geoid model to State of São Paulo.
Keywords in English
geoid
geopotential
gravity
phisycs geodesy
Abstract in English
The GPS system has been used broadly for positioning. It is glimpsed the potential use of this system for the determination of orthometric height, substituting the expensive and slow process of geometric leveling. For this propose, it is necessary a geoid model with submetric absolute accuracy and relative accuracy on the order of 2 ppm. This model can be divided in two components: long and short wavelengths. The model of the geopotential supplies the long wavelength component of the geoid height, while gravimetry associated with a digital terrain model, allows the estimation of the short wavelength component, through the modified Stokes´s integral. Comparisons of some of these modifications of the Stokes´s function are carried out. Two methods of evaluation of the integral, numerical integration and FFT are shown in the work. As a result of those comparisons, it is obtained a geoid model for the State of São Paulo
 
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Publishing Date
2003-08-28
 
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