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Tábuas para o Cálculo da Hora a Bordo de Lopes Banhos
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| 2.51 MB | Adobe PDF |
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Abstract(s)
Nos séculos anteriores ao advento da navegação moderna, o posicionamento de uma embarcação em alto-mar dependia exclusivamente da observação dos astros.
A evolução da navegação astronómica esteve, desde cedo, associada ao aperfeiçoamento dos métodos de cálculo da latitude e, sobretudo, da longitude, cujo tratamento matemático mais complexo levou ao surgimento de diversas tábuas destinadas a facilitar os cálculos a bordo.
Esta dissertação centra-se no estudo e análise das Taboas para o Cálculo da Hora a Bordo, publicadas por J. E. Lopes Banhos em 1897. O trabalho é conduzido com o propósito de compreender a estrutura e a utilidade prática desta tábua, bem como a sua aplicação no cálculo da hora e da posição de um navio em alto-mar.
O estudo inclui a contextualização histórica da navegação astronómica e uma explicação matemática das fórmulas utilizadas nas tábuas de Lopes Banhos. Com o objetivo de avaliar a eficácia e a clareza destas tábuas, procedeu-se a uma comparação com as tábuas de John William Norie. Para tal, resolveram-se casos práticos utilizando tanto o método do ângulo horário como o método de Marcq Saint Hilaire, aplicando-se as duas tábuas. Recorreu-se ainda a um ficheiro Excel para sistematizar os dados e avaliar a precisão dos resultados obtidos.
In the centuries before the advent of modern navigation, the positioning of a vessel on the high seas depended exclusively on the observation of the stars. The evolution of astronomical navigation was, from early on, associated with the improvement of methods for calculating latitude and, above all, longitude, whose more complex mathematical treatment led to the emergence of various tables designed to facilitate calculations on board. This dissertation focuses on the study and analysis of the Taboas para o Cálculo da Hora a Bordo, published by J. E. Lopes Banhos in 1897. The work is conducted with the aim of understanding the structure and practical usefulness of this table, as well as its application in calculating the time and position of a ship at sea. The study includes a historical contextualisation of astronomical navigation and a mathematical explanation of the formulas used in Lopes Banhos’ tables. In order to assess the effectiveness and clarity of these tables, a comparison is made with the tables of John William Norie. To this end, practical cases were solved using both the hour angle method and Marcq Saint-Hilaire’s method, applying both boards. An Excel file was also used to systematise the data and assess the accuracy of the results obtained.
In the centuries before the advent of modern navigation, the positioning of a vessel on the high seas depended exclusively on the observation of the stars. The evolution of astronomical navigation was, from early on, associated with the improvement of methods for calculating latitude and, above all, longitude, whose more complex mathematical treatment led to the emergence of various tables designed to facilitate calculations on board. This dissertation focuses on the study and analysis of the Taboas para o Cálculo da Hora a Bordo, published by J. E. Lopes Banhos in 1897. The work is conducted with the aim of understanding the structure and practical usefulness of this table, as well as its application in calculating the time and position of a ship at sea. The study includes a historical contextualisation of astronomical navigation and a mathematical explanation of the formulas used in Lopes Banhos’ tables. In order to assess the effectiveness and clarity of these tables, a comparison is made with the tables of John William Norie. To this end, practical cases were solved using both the hour angle method and Marcq Saint-Hilaire’s method, applying both boards. An Excel file was also used to systematise the data and assess the accuracy of the results obtained.
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Keywords
Ângulo Horário Longitude Lopes Banhos Marcq Saint-Hilaire Norie