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How Many Earths Can Fit Inside The Sun?

August 19, 2022 by Deborah Bloomfield

The Sun at the center of our solar system is pretty hefty. With a radius of over 695,000 kilometers (432,000 miles), it makes up 99.86 percent of the mass of the entire solar system. In comparison, our measly planet has a radius of around 6,350 kilometers (3,946 miles) and makes up an imperceivably small amount of the total mass of the solar system.

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But just how many Earths could fit inside our big fat Sun?

A quick Google search will tell you this number is around 1.3 million, but it turns out filling an enormous sphere with a bunch of tiny spheres is not that simple. 

The 1.3 million figure comes from the division of the volume of the Sun (1.412 x 1018 km3) by the volume of the Earth (1.083 x 1012 km3), which would be a reasonable sum to do if our planet were somehow melted and turned into a liquid goop.

Much to the disappointment of some, however, our planet is physically still very much intact. So, when we figuratively cram it into a star 150 million kilometers (93 million miles) away, we need to be realistic.

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Lucky for us, Youtuber Nick Lucid has done the math already, in his video fittingly titled “I proved 1,300,000 Earths WON’T fit in the Sun.” Treating the Earth as a solid sphere, Lucid runs several simulations to attempt to answer this surprisingly complex equation, and with the consideration of packing density percentage, he reaches a sum far from the 1.3 million liquid total.

By running both a coded simulation and checking those numbers against a real-life model, Lucid concluded the total number of whole intact Earths to fit inside our Sun would be (drum roll) 932,884. This is with a packing density of 72.03 percent, which accounts for all the empty space between the planets.

So, for however long our planet remains not-a-liquid, the answer won’t be 1.3 million ­– and you can show this to any pub quizmaster who tries to tell you otherwise.

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Deborah Bloomfield
Deborah Bloomfield

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Source Link: How Many Earths Can Fit Inside The Sun?

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