Conhecido por muitos como o primeiro computador anala³gico do mundo, o mecanismo de Antikythera éa pea§a de engenharia mais complexa que sobreviveu no mundo antigo.
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)
Cosmos Display na frente do mecanismo de Antikythera, mostrando as posições do Sol, da Lua e dos cinco planetas, bem como a fase da Lua e os nosda Lua. Crédito: © 2020 Tony Freeth.
Os pesquisadores da UCL resolveram uma pea§a importante do quebra-cabea§a que constitui a antiga calculadora astrona´mica grega conhecida como Mecanismo de Antikythera, um dispositivo meca¢nico movido a ma£o que era usado para prever eventos astrona´micos.
Conhecido por muitos como o primeiro computador anala³gico do mundo, o mecanismo de Antikythera éa pea§a de engenharia mais complexa que sobreviveu no mundo antigo. O dispositivo de 2.000 anos foi usado para prever as posições do Sol, da Lua e dos planetas, bem como eclipses lunares e solares.
Publicado em Scientific Reports , o artigo da equipe multidisciplinar de pesquisa UCL Antikythera revela uma nova exibição da antiga ordem grega do Universo (Cosmos), dentro de um sistema de engrenagens complexo na frente do mecanismo.
O autor principal, o Professor Tony Freeth (UCL Mechanical Engineering) explicou: "O nosso éo primeiro modelo que estãoem conformidade com todas as evidaªncias físicas e corresponde a s descrições nas inscrições cientaficas gravadas no pra³prio Mecanismo.
"O Sol, a Lua e os planetas são exibidos em um impressionante tour de force do brilho da Granãcia Antiga."
O mecanismo de Antikythera gerou fascanio e intensa controvanãrsia desde sua descoberta em um naufra¡gio da era romana em 1901 por mergulhadores de esponja gregos perto da pequena ilha mediterra¢nea de Antikythera.
A calculadora astrona´mica éum dispositivo de bronze que consiste em uma combinação complexa de 30 engrenagens de bronze sobreviventes usadas para prever eventos astrona´micos, incluindo eclipses, fases da lua, posições dos planetas e atédatas das OlimpÍadas.
Modelo do mecanismo de Antikythera, mostrando os mostradores dianteiro e
traseiro, bem como um diagrama explodido da engrenagem.
Crédito: © 2020 Tony Freeth.
Embora um grande progresso tenha sido feito no último século para entender como funcionava, estudos em 2005 usando raios-X 3D e imagens desuperfÍcie permitiram aos pesquisadores mostrar como o mecanismo previu eclipses e calculou o movimento varia¡vel da lua.
No entanto, atéagora, uma compreensão completa do sistema de engrenagens na parte frontal do dispositivo escapou aos melhores esforços dos pesquisadores. Apenas cerca de um tera§o do mecanismo sobreviveu e estãodividido em 82 fragmentos - criando um desafio assustador para a equipe da UCL.
O maior fragmento sobrevivente, conhecido como Fragmento A, exibe caracteristicas de rolamentos, pilares e um bloco. Outro, conhecido como Fragmento D, apresenta um disco inexplica¡vel, engrenagem de 63 dentes e placa.
Figura 1 do papel Cosmos, mostrando a disposição das inscrições nas placas externas
do Mecanismo de Antikythera. Crédito: © 2020 Tony Freeth.
Pesquisas anteriores usaram dados de raios-X de 2005 para revelar milhares de caracteres de texto escondidos dentro dos fragmentos, não lidos por quase 2.000 anos. As inscrições na contracapa incluem uma descrição da exibição do cosmos, com os planetas movendo-se em ananãis e indicados por contas marcadoras. Foi essa exibição que a equipe trabalhou para reconstruir.
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Dois números craticos nos raios-X da capa, de 462 anos e 442 anos, representam com precisão os ciclos de Vaªnus e Saturno, respectivamente. Quando observados da Terra, os ciclos dos planetas a s vezes invertem seus movimentos contra as estrelas. Os especialistas devem rastrear esses ciclos varia¡veis ​​ao longo de longos períodos de tempo para prever suas posições.
"A astronomia cla¡ssica do primeiro milaªnio aC originou-se na Babila´nia, mas nada nesta astronomia sugeria como os gregos antigos encontraram um ciclo altamente preciso de 462 anos para Vaªnus e um ciclo de 442 anos para Saturno", explicou o Ph.D. candidato e membro da equipe de pesquisa da UCL Antikythera, Aris Dacanalis.
Usando um antigo manãtodo matema¡tico grego descrito pelo fila³sofo Parmaªnides, a equipe da UCL não apenas explicou como os ciclos de Vaªnus e Saturno foram derivados, mas também conseguiu recuperar os ciclos de todos os outros planetas, onde as evidaªncias estavam ausentes.
Fragmentos do mecanismo de Antikythera com evidaªncias para este estudo.
Eles são mostrados como PTMs com realce especular.
Crédito: © 2005 Hewlett-Packard.
Ph.D. O candidato e membro da equipe David Higgon explicou: "Apa³s uma luta considera¡vel, conseguimos combinar as evidaªncias nos Fragmentos A e D com um mecanismo para Vaªnus, que modela exatamente sua relação de período planetario de 462 anos, com a engrenagem de 63 dentes desempenhando um papel crucial Função."
O professor Freeth acrescentou: "A equipe então criou mecanismos inovadores para todos os planetas que calculariam os novos ciclos astrona´micos avana§ados e minimizariam o número de engrenagens em todo o sistema, para que eles se encaixassem nos Espaços apertados disponaveis."
"Este éum avanço tea³rico fundamental sobre como o Cosmos foi construado no mecanismo", acrescentou o coautor, Dr. Adam Wojcik (UCL Mechanical Engineering). "Agora devemos provar sua viabilidade, fabricando-o com técnicas antigas. Um desafio particular seráo sistema de tubos aninhados que carregava os resultados astrona´micos."