B Earth may owe its birth to a solar eruption

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Earth's formation may be attributed to a significant solar flare from the young sun, which also provides insight into Mars' size. Traditional theories suggest that Mars' small size is due to gravitational influences from Jupiter, but the new hypothesis posits that a lack of heating from solar activity limited dust grain cohesion, resulting in a smaller Mars. This theory addresses longstanding questions about both planets' formation processes. The implications of this research could reshape our understanding of planetary development in the early solar system. Overall, the findings suggest that solar activity played a crucial role in the formation of Earth and Mars.
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Earth may have been born in a huge flare-up of the young sun

by Ken Croswell

It’s not easy to make Earth. Most of the explanations for how our planet formed have troubling problems. But if a new idea is right, we can thank a hyperactive young sun for Earth’s existence, plus solve a long-standing mystery about Mars.

Read more at New Scientist .
 
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The explanation for Mars sounds odd. Sticking together is only relevant at sizes of at most a few kilometers (and most important before the http://www.mpia.de/~dullemon/group/overview.php), afterwards gravity takes over. Mars is larger than that, so something did form.

I had a look at the original research paper. Less sticky material would reduce the number of planetesimals and make the process of their formation slower. Both gives the remaining dust more chance to escape.
 
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It seems to me that the reason why Mars is small is because Jupiter is big.
Mars sort of 'got lucky' to not end up not being just another moon of Jupiter,
 
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As the New Scientist article states, the standard theory concerning Mars--going all the way back to 1755--is that the planet is small because of Jupiter.

But in the new theory, Mars is small because the solar flare-up didn't heat dust grains at its position much, so they didn't stick together much, so they could form only a planet much smaller than Earth.
 
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