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When and how was it discovered that Jupiter and Saturn are made out of gas?

According the answers to this question: https://hsm.stackexchange.com/questions/14083/when-was-it-realized-that-the-giant-planets-do-not-have-solid-surfaces Astronomers didn't discover that the giant ...
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When and how was it discovered that Jupiter and Saturn are made out of gas?

I'm unsure of the "history of science" aspect of this, but an actual deduction that these are gas giants would require Kepler's laws and Newton's law of gravity combined with a modest ...
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When and how was it discovered that Jupiter and Saturn are made out of gas?

By 1690, Giovanni Cassini was able to estimate the rotation period of the planet and noticed that the atmosphere of Jupiter undergoes differential rotation which confirmed that Jupiter was made of gas ...
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