Um estudo de pesquisa analisa as caracteristicas do Apophis, o asteroide que se aproximara¡ da Terra em 2029
O asteroide Apophis foi descoberto em 2004 e vem sendo monitorado desde então devido a sua classificaça£o como asteroide potencialmente perigoso (PHA), pois estimava-se que teria 2% de chance de atingir a Terra.
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)
Domanio paºblico
O estudo, do qual participam a Universidad Carlos III de Madrid (UC3M) e a Universidad Estatal Paulista Jaºlio de Mesquita Filho (UNESP) do Brasil, analisa asuperfÍcie e a dina¢mica do Apophis, um asteroide que passara¡ perto da Terra em 2029.
O asteroide Apophis foi descoberto em 2004 e vem sendo monitorado desde então devido a sua classificação como asteroide potencialmente perigoso (PHA), pois estimava-se que teria 2% de chance de atingir a Terra. Essa possibilidade já foi descartada e, de acordo com as últimas medições, o Apophis atingira¡ sua trajeta³ria mais próxima da Terra (38.000 quila´metros) em 13 de abril de 2029.
Este estudo analisa as caracteristicas físicas deste corpo celeste e os possaveis efeitos que a sua aproximação a Terra pode ter. Gabriel Borderes-Motta, pesquisador do Departamento de Bioengenharia e Engenharia Aeroespacial da UC3M, explica que “a colisão não éa única possibilidade na aproximação de eventos como este . corpo, quebrar o corpo em pedaço s , desintegrar possaveis pedras soltas nasuperfÍcie do asteroide, ou mesmo remover outros corpos que orbitam o asteroide (como rochas, satanãlites ou ananãis)... Nosso estudo se concentra nas duas últimas possibilidades: o que acontece com as possaveis pedras nasuperfÍcie e a a³rbita do asteroide."
Como experimentar um asteroide
A pesquisa no setor espacial apresenta o desafio de que, na maioria dos casos, éimpossível experimentar diretamente com materiais espaciais. Por esta raza£o, inaºmeras investigações são abordadas no campo da matemática e da física, levando em consideração o maior número possível de varia¡veis.
A equipe de pesquisa responsável por este estudo analisou tanto os aspectos fasicos do asteroide osentre eles, sua forma e as caracteristicas de seu campo gravitacional osquanto os fatores que podem influenciar sua trajeta³ria e seu a¢ngulo de inclinação, como a pressão de radiação ou perturbação infligida devido a sua proximidade com a Terra.
Para realizar esta pesquisa, a equipe realizou um conjunto de simulações numanãricas osdois ambientes de simulação com três casos experimentais cada osusando um disco de 15.000partículas de diferentes tamanhos no ambiente pra³ximo de Apophis como amostra. O objetivo foi tentar prever como aspartículas orbitando o asteroide reagira£o a diferentes situações e como essas suposições podem influenciar o comportamento do Apophis.
O primeiro conjunto de simulações foi projetado considerando apenas a perturbação gravitacional de Apophis em períodos de 24 horas ao longo de 30 anos. O segundo conjunto de simulações incluiu distúrbios causados ​​pela pressão da radiação solar. Traªs casos foram propostos em ambos os conjuntos, nos quais o asteroide tinha densidades diferentes. "Avaliamos um poliedro de 340 metros com densidade uniforme em três casos diferentes. Em cada caso, o ponto de partida foi uma densidade departículas diferente, da maior para a menor", diz Gabriel Borderes-Motta.
A partir dessas simulações, concluiu-se que o a¢ngulo de inclinação do asteroide era maior em baixas densidades (4°) do que em altas densidades (2°); além disso, quanto menor a densidade departículas e quanto maior a pressão de radiação solar, menospartículas permaneceram intactas. Em outras palavras, em um cena¡rio onde Apophis tem baixa densidade, aproximadamente 90% das pedras soltas seriam removidas de suasuperfÍcie durante a aproximação da Terra. Além disso, os resultados mostraram que a abordagem do Apophis pode afetar levemente as maranãs e causar alguns deslizamentos de terra nasuperfÍcie do asteroide.
A equipe espera que a aproximação do asteroide a Terra em 2029 seja uma oportunidade para melhorar o modelo 3D usado para executar simulações espaciais, além de permitir que eles investiguem e prevejam com mais precisão os efeitos nasuperfÍcie de Apophis. Tudo isso significaria um aumento no conhecimento sobre asteroides, o que nos permitiria estar mais bem preparados caso novos corpos celestes passassem perto da Terra.
A pesquisa foi publicada na revista Monthly Notices of the Royal Astronomical Society .