Geodésia Física

--- Disciplina Eletiva; 3 créditos ---

 

Tópicos:

I. Introdução.

II. Campo da Gravidade

II.1 Gravitação e Gravidade.
II.2: Potencial da Gravidade.
II.2.1: Sentido Físico do Potencial da Gravidade.

III Desenvolvimento do Potencial Gravitacional (Wg) em série de harmônicos esféricos.

III.1 Exemplos de funções associadas de Legendre.
III.2 Representação Geométrica dos Harmônicos Esféricos Zonais.
III.3 Representação Geométrica dos Harmônicos Esféricos Setoriais.
III.4 Representação Geométrica dos Harmônicos Esféricos Tesserais.
III.5 Significado físico dos harmônicos esféricos.
III.6 Os coeficientes (Jnm, Knm) e (Cnm, Snm).
III.7 Fórmulas de recorrência.

IV Modelos de representação da Terra.

IV.1 A Terra normal.

V Esferopotencial.

V.1 O coeficiente J2,0.
V.2 Gravidade normal.
V.3 Potencial anômalo.
V.4 Anomalia e distúrbio da gravidade.
V.5 Altura geoidal e anomalia da gravidade em série de harmônicos esféricos.
V.6 Componentes principais do desvio da vertical, em série de harmônicos esféricos.

VI Determinação gravimétrica do geoide.

VI.1 Fórmula de Stokes.
VI.2 Considerações sobre a aplicação da formula de Stokes
VI.3 Desvio da vertical. Fórmulas de Vening Meinesz.
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- Periódicos da área.