¿Sin tormentas solares a la vista? No hay problema. La Tierra ha aprendido a crear sus propias auroras. Los nuevos resultados de la nave espacial THEMIS-ARTEMIS de la NASA muestran que un tipo de auroras boreales llamadas "auroras difusas" proviene de nuestro propio planeta, no se requieren tormentas solares.
Las auroras difusas se parecen un poco a la sopa de guisantes. Se extendieron por el cielo en una neblina verde tenue, a veces ondeando como si fueran removidas por una cuchara. No son tan llamativas como las auroras causadas por tormentas solares. Sin embargo, son importantes porque representan un enorme 75% de la entrada de energía en la atmósfera superior de la Tierra durante la noche. Los investigadores han estado intentando comprenderlas durante décadas.
![](https://spaceweatherarchive.files.wordpress.com/2021/09/peasoup_crop-1.jpg?w=1000)
Arriba: Auroras difusas y la Osa Mayor, fotografiadas por Emmanuel V. Masongsong en Fairbanks, AK
"Creemos que hemos encontrado la fuente de estas auroras", dice el físico espacial de UCLA Xu Zhang, autor principal de los artículos que informan sobre los resultados en el Journal of Geophysical Research: Space Physics and Physics of Plasmas.
Es la Tierra misma.
La Tierra genera este efecto utilizando haces de electrones. Muy por encima de los polos de nuestro planeta, rayos de partículas cargadas negativamente se disparan hacia el espacio, aceleradas por campos eléctricos en la magnetosfera de la Tierra. Los cohetes que realizan sondeos y los satélites descubrieron los rayos hace décadas. Resulta que pueden alimentar las auroras difusas.
El video, a continuación, muestra cómo funciona. Los rayos viajan en grandes arcos a través del espacio cercano a la Tierra. A medida que avanzan, excitan ondas en la magnetosfera llamadas ondas armónicas de ciclotrón de electrones (ECH). Suba el volumen y escuche las ondas grabadas por THEMIS-ARTEMIS:
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)
Arriba: Un gran circuito eléctrico en el espacio que alimenta auroras difusas. Las ondas ECH fueron sonificadas por el software HARP (Heliophysics Audified Resonances in Plasmas) de la NASA.
Las ondas ECH, a su vez, sacan a otros electrones de sus órbitas, obligándolos a caer de nuevo a la atmósfera. Esta lluvia de electrones secundarios alimenta las auroras difusas.
“Esto es emocionante”, dice el profesor de UCLA Vassilis Angelopoulos, coautor de los artículos y líder de la misión THEMIS-ARTEMIS. "Hemos encontrado una forma totalmente nueva en la que la energía de las partículas se puede transferir desde la propia atmósfera de la Tierra a la magnetosfera y viceversa, creando un bucle de retroalimentación gigante en el espacio".
Según Angelopoulos, los haces de electrones polares de la Tierra (1) a veces se debilitan pero nunca desaparecen por completo (2), ni siquiera durante los períodos de baja actividad solar. Esto significa que la Tierra puede producir auroras sin tormentas solares.
Actualmente, el sol está experimentando períodos de baja actividad a medida que el joven ciclo solar 25 cobra vida. ¿Veremos sopas de guisantes?
Notas finales:
(1) ¿Por qué existen estos haces de electrones? La magnetosfera de la Tierra está repleta de partículas energéticas. Muchos de ellos son capturados por el viento solar. Cuando estas partículas golpean la parte superior de la atmósfera de la Tierra (la ionosfera), desprenden electrones. Los campos eléctricos, que se forman naturalmente en la magnetosfera giratoria de la Tierra, capturan los electrones liberados y los aceleran hacia el cielo en haces colimados.
(2) ¿Por qué los haces no desaparecen nunca? Respuesta corta: porque el viento solar nunca deja de soplar. Incluso cuando el sol atraviesa periodos de baja actividad, la magnetosfera de la Tierra es empujada y energizada por el viento solar siempre presente. Como resultado, los electrones siempre salen de la parte superior de la atmósfera de la Tierra, como se describe en la nota anterior. Aunque las tormentas solares no son necesarias para este proceso, las tormentas solares pueden ayudar. Por ejemplo, cuando una CME (Eyección de Masa Coronal) incide sobre la magnetosfera de la Tierra, el contenido de la magnetosfera se vuelve extra-energizado. Muchas partículas golpean con gran energía la parte superior de la atmósfera de la Tierra, liberando incluso más electrones de lo habitual. Por tanto, los haces de electrones de la Tierra pueden sobrecargarse. Cuando la tormenta amaina, los haces de electrones pueden debilitarse, pero nunca desaparecen porque incluso el Sol en baja actividad produce viento solar.
Referencias:
Zhang, X., Angelopoulos, V., Artemyev, A. V., Zhang, X.-J. (2021), Beam-driven ECH waves: A parametric study, Phys. Plasmas, 28, 072902, https://doi.org/10.1063/5.0053187
Zhang, X., Angelopoulos, V., Artemyev, A. V., Zhang, X.‐J., Liu, J. (2021). Beam‐driven electron cyclotron harmonic waves in Earth’s magnetotail. Journal of Geophysical Research: Space Physics, 126, e2020JA028743. https://doi.org/10.1029/2020JA028743s
Fuente Spaceweather. Publicado el 20 de septiembre de 2021. Autor: Dr. TONY PHILLIPS. Enlace al original.