Supercomputador revela impacto atmosfanãrico de gigantescas colisaµes planeta¡rias
As simulaa§aµes mostram como os planetas parecidos com a Terra com atmosferas finas podem ter evoluado em um sistema solar inicial, dependendo de como são impactados por outros objetos.
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)
Seção transversal da imagem esta¡tica mostrando o impacto (inserção) e as consequaªncias (imagem principal) de uma simulação 3D de um impacto planetario gigante usando 100 milhões departículas, coloridas por sua energia interna, semelhante a sua temperatura. Crédito: Dr. Jacob Kegerreis, Universidade de Durham
Os impactos gigantes que dominam os esta¡gios finais da formação do planeta tem uma ampla gama de consequaªncias para os jovens planetas e suas atmosferas, de acordo com uma nova pesquisa.
Uma pesquisa liderada pela Universidade de Durham e envolvendo a Universidade de Glasgow, no Reino Unido, desenvolveu uma maneira de revelar a escala de perda de atmosfera durante colisaµes planeta¡rias com base em simulações em 3D de supercomputadores.
As simulações mostram como os planetas parecidos com a Terra com atmosferas finas podem ter evoluado em um sistema solar inicial, dependendo de como são impactados por outros objetos.
Usando o supercomputador COSMA, parte da instalação de Computação de Alto Desempenho DiRAC em Durham, financiada pelo Science and Technology Facilities Council (STFC), os pesquisadores realizaram mais de 100 simulações detalhadas de diferentes impactos gigantes em planetas semelhantes a Terra, alterando a velocidade e a¢ngulo do impacto em cada ocasia£o.
Eles descobriram que impactos de pastoreio - como o que se pensava ter formado nossa Lua - levaram a muito menos perda atmosfanãrica do que um impacto direto.
De cabea§a para colisaµes e velocidades mais altas levavam a uma erosão muito maior, a s vezes destruindo completamente a atmosfera, juntamente com parte do manto, a camada que fica sob a crosta de um planeta.
As descobertas fornecem uma visão maior do que acontece durante esses impactos gigantes, que os cientistas sabem que são eventos comuns e importantes na evolução dos planetas, tanto em nosso sistema solar quanto além .
Os resultados foram publicados no Astrophysical Journal .
Acredita-se que nossa Lua tenha se formado cerca de 4,5 bilhaµes de anos atrás, após uma colisão entre o inicio da Terra e um impactador gigante, possivelmente do tamanho de Marte.
Nãose sabia o quanto da atmosfera primitiva da Terra poderia ter sobrevivido nesse violento evento de impacto ou como isso mudaria para diferentes cenários de colisão.
No caso da Terra, o planeta teve relativamente sorte com essa colisão - perdendo apenas entre 10% e 50% de sua atmosfera, dependendo do cena¡rio preciso.
O principal autor, Dr. Jacob Kegerreis, cuja pesquisa foi parcialmente financiada por uma bolsa de doutorado do STFC, no Instituto de Cosmologia Computacional da Universidade de Durham, disse: "Sabemos que as colisaµes planeta¡rias podem ter um efeito drama¡tico na atmosfera de um planeta, mas éa primeira vez que conseguimos estudar em detalhes as amplas variedades desses eventos violentos.
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"Apesar das consequaªncias notavelmente diversas que podem advir de diferentes a¢ngulos e velocidades de impacto, descobrimos uma maneira simples de prever quanta atmosfera seria perdida.
"Isso estabelece as bases para ser capaz de prever a erosão atmosfanãrica de qualquer impacto gigante, que se alimentaria de modelos de formação de planetas como um todo. Isso, por sua vez, nos ajudara¡ a entender tanto a história da Terra como um planeta habita¡vel quanto a evolução. de exoplanetas em torno de outras estrelas ".
Os pesquisadores estãoagora realizando centenas de simulações para testar os efeitos que as diferentes massas e composições de objetos em colisão podem ter.
O coautor Dr. Vincent Eke, do Instituto de Cosmologia Computacional da Universidade de Durham, disse: "No momento, parece que a quantidade de atmosfera que um planeta perde devido a essas colisaµes depende de quanto sortudos ou azarados eles são em termos de tipo. do impacto que eles sofrem ".
O coautor Dr. Luis Teodoro, da Universidade de Glasgow, disse: "Nossa pesquisa mostra como diferentes impactos podem ejetar em qualquer lugar, de muito pouco a toda a atmosfera atravanãs de uma variedade de mecanismos".