Twitter proof: a solar system out of scale



Há uns tempos ouvi dizer "não dá para ter um modelo do sistema solar à escala". Achei piada ao que tinha ouvido e acreditei, mas não entendi bem a dimensão dessa afirmação. Vou usar um tweet para ajudar a dimensionar isto:

Asserção: não se consegue levar um modelo do Sistema Solar, à escala, para uma feira de ciência da escola.

Prova num tweet: o diâmetro de Mercúrio é menor que $5\times10^3km$ e a distância do Sol a Neptuno maior que $4.4\times10^9km$. Assim, se o Mercúrio do modelo tivesse $1mm$, a distância do Sol a Neptuno teria de ser maior que $8.8\times10^5mm = 0.88km$, quase um quilómetro.
Some time ago I heard someone say "you can't have a miniature Solar System to scale". I found it funny and I believed it, but I did not grasp the full meaning of that sentence. I will make use of a tweet to take care of that:

Assertion: your science fair project cannot be a proportional model of the Solar System.

Proof in a tweet: the diameter of Mercury is less than $5\times10^3km$ and the distance from Neptune to the Sun is less than $4.4\times10^9km$. If you had a $1mm$ Mercury, the distance from the Sun to Neptune would have to be $8.8\times10^5mm = 0.88km$, almost a kilometer.

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