Cientistas descobrem um raro sistema de seis planetas que se move em estranha sincronia
Os cientistas descobriram uma visão rara num sistema estelar próximo: seis planetas orbitando a sua estrela central numa batida rítmica. Os planetas se movem em uma valsa orbital que se repete com tanta precisão que pode ser facilmente musicada.
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Uma ilustração artística dos seis planetas recém-descobertos orbitando sua estrela em ressonância. Imagem de Roger Thibaut (NCCR PlanetS). Crédito: Roger Thibaut (NCCR PlanetS)
Os cientistas descobriram uma visão rara num sistema estelar próximo: seis planetas orbitando a sua estrela central numa batida rítmica. Os planetas se movem em uma valsa orbital que se repete com tanta precisão que pode ser facilmente musicada.
Um caso raro de um bloqueio gravitacional “sincronizado”, o sistema poderia oferecer uma visão profunda da formação e evolução dos planetas .
A análise, liderada pelo cientista da UChicago Rafael Luque, foi publicada em 29 de novembro na Nature.
“Esta descoberta vai se tornar um sistema de referência para estudar como os sub-Netunos, o tipo mais comum de planetas fora do sistema solar , se formam, evoluem, de que são feitos e se possuem as condições certas para sustentar a existência de água líquida em suas superfícies", disse Luque.
Uma rara ressonância
Os seis planetas orbitam uma estrela conhecida como HD110067, que fica a cerca de 100 anos-luz de distância, na constelação norte de Coma Berenices.
Em 2020, o Transiting Exoplanet Survey Satellite (TESS) da NASA detectou quedas no brilho da estrela que indicavam que os planetas estavam passando na frente da superfície da estrela. Combinando dados do TESS e do CHaracterizing ExOPlanet Satellite (Cheops) da Agência Espacial Europeia, uma equipe de pesquisadores analisou os dados e descobriu uma configuração inédita.
Embora sistemas multiplanetários sejam comuns em nossa galáxia, aqueles em uma formação gravitacional compacta conhecida como “ressonância” são observados pelos astrônomos com muito menos frequência.
Neste caso, o planeta mais próximo da estrela faz três órbitas para cada duas do planeta seguinte – chamada ressonância 3/2 – um padrão que se repete entre os quatro planetas mais próximos. Entre os planetas mais externos, um padrão de quatro órbitas para cada três do próximo planeta (uma ressonância de 4/3) é repetido duas vezes.
E estas órbitas ressonantes são sólidas como uma rocha: os planetas provavelmente têm realizado esta mesma dança rítmica desde que o sistema se formou há milhares de milhões de anos, disseram os cientistas.
Histórias de formação
Os sistemas orbitalmente ressonantes são extremamente importantes de serem encontrados porque informam aos astrônomos sobre a formação e subsequente evolução do sistema planetário. Os planetas em torno das estrelas tendem a formar-se em ressonância, mas podem ser facilmente perturbados. Por exemplo, um planeta muito massivo, um encontro próximo com uma estrela passageira ou um evento de impacto gigante podem perturbar o equilíbrio cuidadoso.
Como resultado, muitos dos sistemas multiplanetários conhecidos pelos astrónomos não estão em ressonância, mas parecem suficientemente próximos para que pudessem ter estado em ressonância uma vez. No entanto, sistemas multiplanetários que preservam a sua ressonância são raros.
“Pensamos que apenas cerca de um por cento de todos os sistemas permanecem em ressonância , e menos ainda mostram uma cadeia de planetas nesta configuração”, disse Luque. É por isso que HD110067 é especial e convida a estudos mais aprofundados: "Mostra-nos a configuração original de um sistema planetário que sobreviveu intocado."
Serão necessárias medições mais precisas das massas e órbitas destes planetas para melhorar ainda mais a imagem de como o sistema se formou.
Mais informações: Rafael Luque, Um sêxtuplo ressonante de sub-Netunos transitando pela estrela brilhante HD 110067, Nature (2023). DOI: 10.1038/s41586-023-06692-3 . www.nature.com/articles/s41586-023-06692-3
Informações do periódico: Natureza