Planetas gigantes lançam uma mortalha: como podem impedir a vida em outros sistemas solares
Planetas gasosos gigantes podem ser agentes do caos, garantindo que nada viva nos seus vizinhos semelhantes à Terra em torno de outras estrelas. Novos estudos mostram que, em alguns sistemas planetários, os gigantes tendem a expulsar planetas...
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)
Representação artística de um sistema extra-solar repleto de planetas gigantes. Crédito: NASA/Dana Berry
Planetas gasosos gigantes podem ser agentes do caos, garantindo que nada viva nos seus vizinhos semelhantes à Terra em torno de outras estrelas. Novos estudos mostram que, em alguns sistemas planetários, os gigantes tendem a expulsar planetas mais pequenos da órbita e a causar estragos nos seus climas.
Júpiter, de longe o maior planeta do nosso sistema solar , desempenha um importante papel protetor. O seu enorme campo gravitacional desvia cometas e asteroides que de outra forma poderiam atingir a Terra, ajudando a criar um ambiente estável para a vida. No entanto, os planetas gigantes em outras partes do universo não protegem necessariamente a vida nos seus vizinhos planetas rochosos mais pequenos.
Um artigo do Astronomical Journal detalha como a atração de planetas massivos em um sistema estelar próximo provavelmente expulsará seus vizinhos semelhantes à Terra da “ zona habitável ”. Esta zona é definida como a faixa de distâncias de uma estrela que são quentes o suficiente para que exista água líquida na superfície de um planeta, tornando a vida possível.
Ao contrário da maioria dos outros sistemas solares conhecidos, os quatro planetas gigantes em HD 141399 estão mais distantes da sua estrela. Isto o torna um bom modelo para comparação com o nosso sistema solar, onde Júpiter e Saturno também estão relativamente longe do sol.
“É como se eles tivessem quatro Júpiteres agindo como bolas de demolição, deixando tudo fora de controle”, disse Stephen Kane, astrofísico da UC Riverside e autor do artigo da revista.
Tendo em conta os dados sobre os planetas do sistema, Kane executou múltiplas simulações de computador para compreender o efeito destes quatro gigantes. Ele queria observar especificamente a zona habitável neste sistema estelar e ver se a Terra poderia permanecer numa órbita estável ali.
"A resposta é sim, mas é muito improvável. Existem apenas algumas áreas selecionadas onde a atração gravitacional dos gigantes não tiraria um planeta rochoso de sua órbita e o enviaria voando para fora da zona", disse Kane.
Embora este artigo mostre planetas gigantes fora da zona habitável destruindo as possibilidades de vida, um segundo artigo relacionado mostra como um grande planeta no meio da zona teria um efeito semelhante.
Também publicado no Astronomical Journal, este segundo artigo examina um sistema estelar a apenas 30 anos-luz de distância da Terra, chamado GJ 357. Para referência, estima-se que a galáxia tenha 100.000 anos-luz de diâmetro, então este sistema está "definitivamente na nossa vizinhança, —Kane disse.
Estudos anteriores descobriram que um planeta neste sistema, denominado GJ 357 d, reside na zona habitável do sistema e foi medido com cerca de seis vezes a massa da Terra. No entanto, neste artigo intitulado “Agente do Caos”, Kane mostra que a massa é provavelmente muito maior.
“É possível que GJ 357 d tenha até 10 massas terrestres, o que significa que provavelmente não é terrestre, então não poderia haver vida nele”, disse Kane. "Ou pelo menos não seria capaz de hospedar a vida como a conhecemos."
Na segunda parte do artigo, Kane e sua colaboradora, a bolsista de pós-doutorado em ciências planetárias da UCR, Tara Fetherolf, demonstram que se o planeta for muito maior do que se acreditava anteriormente, é certo que impedirá que mais planetas semelhantes à Terra residam na zona habitável ao lado. isto.
Embora existam também alguns locais selecionados na zona habitável deste sistema onde uma Terra poderia potencialmente residir, as suas órbitas seriam altamente elípticas em torno da estrela. “Em outras palavras, as órbitas produziriam climas malucos nesses planetas”, disse Kane. "Este artigo é realmente um aviso, quando encontramos planetas na zona habitável, para não assumirmos que são automaticamente capazes de acolher vida."
Em última análise, os dois artigos mostram como é incomum encontrar o conjunto certo de circunstâncias para acolher vida em outras partes do universo. “O nosso trabalho dá-nos mais razões para estarmos muito gratos pela configuração planetária particular que temos no nosso sistema solar”, disse Kane.
Mais informações: Stephen R. Kane, Rodeado por gigantes: estabilidade da zona habitável dentro do sistema HD 141399, The Astronomical Journal (2023). DOI: 10.3847/1538-3881/acfb01
Stephen R. Kane et al, GJ 357 d: Mundo Potencialmente Habitável ou Agente do Caos?, The Astronomical Journal (2023). DOI: 10.3847/1538-3881/acff5a
Informações do jornal: Jornal Astronômico