No Espaço, a Lua écercada por plasma (gás ionizado), que contanãmpartículas de poeira de matéria sãolida . NasuperfÍcie lunar,partículas de poeira, impactadas por fa³tons, elanãtrons e aons do vento solar, recebem uma carga positiva.
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)
Deformação da magnetosfera do planeta pelo vento solar. Crédito: nasa.gov
Pesquisadores da HSE University desenvolveram um modelo matema¡tico que explica a levitação departículas de poeira carregadas sobre asuperfÍcie lunar iluminada pelo sol para quase qualquer latitude. Pela primeira vez, o modelo leva em consideração a cauda magnanãtica da Terra osuma área especafica ao redor do nosso planeta. Os dados da pesquisa são importantes para o planejamento das missaµes espaciais Luna-25 e Luna-27. O estudo foi publicado na Physics of Plasmas .
No Espaço, a Lua écercada por plasma (gás ionizado), que contanãmpartículas de poeira de matéria sãolida . NasuperfÍcie lunar,partículas de poeira, impactadas por fa³tons, elanãtrons e aons do vento solar, recebem uma carga positiva. Sua interação com asuperfÍcie lunar carregada positivamente faz com que eles se recuperem, se movam e componham o plasma empoeirado.
Devido a esses fatores, os pesquisadores podem supor que os plasmas empoeirados lunares evoluem apenas acima de parte dasuperfÍcie lunar (em torno de latitudes acima de 76°). Mas espera-se que plasmas empoeirados possam ser observados acima de toda a parte iluminada pelo sol da Lua. Os autores do artigo desenvolveram um modelo fasico-matema¡tico do movimento do plasma de poeira no qual o impacto da cauda magnanãtica da Terra desempenha um papel importante.
A magnetosfera da Terra evolui devido a interação que o campo magnético do planeta tem compartículas carregadas do Espaço. Impactadas pelo campo magnanãtico, por exemplo, aspartículas do vento solar desviam de sua trajeta³ria inicial e formam uma área ao redor do planeta. a‰ assimanãtrico: no lado diurno, atinge o tamanho de 8 a 14 raios terrestres e, no lado noturno, éestendido e forma uma cauda magnanãtica, com várias centenas de raios terrestres.
Durante cerca de um quarto de sua a³rbita, a Lua estãona cauda magnanãtica da Terra, o que impacta o movimento daspartículas ao longo do meridiano: impactadas pelo campo magnanãtico, elas comea§am a se mover da área polar para o equador.
Aspartículas também são impactadas por forças gravitacionais e eletrosta¡ticas. O primeiro atrai o gra£o de poeira para asuperfÍcie, enquanto o outro o repele. Isso leva a oscilação vertical das partículas
Em seguida, aspartículas transitam para uma condição de levitação. Os pesquisadores explicam esse efeito por longos dias de sol na Lua: quase 15 dias terrestres. Durante esse período, o processo de oscilação daspartículas desaparece e elas tem tempo suficiente para se transferir para a levitação. Segundo os pesquisadores, fena´menos opostos também são observados. Por exemplo, nas luas marcianas, Fobos e Deimos, o tempo da oscilação dos gra£os de poeira desaparecendo émaior do que o dia claro, e épor isso que eles não tem tempo suficiente para se transferir para a condição de levitação.
Sergey Popel, chefe do Laborata³rio de Processos de Plasma Empoeirado em Objetos Espaciais, Instituto de Pesquisa Espacial do RAS, diz que "Luna-25 e Luna-27 estãoem preparação hoje, e eles va£o estudar as propriedades de poeira e plasmas empoeirados perto dosuperfÍcie lunar . Para torna¡-los bem sucedidos, pesquisas preliminares são essenciais. Hoje usamos uma abordagem simplificada para explicar a transição da poeira acima dasuperfÍcie lunar levando em conta os campos magnanãticos na cauda magnanãtica da Terra. Em estudos futuros, seránecessa¡rio levar em consideração adicionalmente a inclinação axial e a inclinação da a³rbita ao plano da eclaptica tanto para a Terra quanto para a Lua, além de considerar parametros mais precisos do plasma magnetotail."