galilean

And the Galilean invariance thing is kinda cool: who knew that you didn't need something as fundamental as Galilean invariance?

> Galilean invariance or Galilean relativity states that the laws of motion are the same in all inertial frames.

You are arguing according to the Aristotelian theory of projectile motion, while the other commenters assume the Galilean theory.

What do you mean you don't need Galilean invariance?

And maneuvering within Jupiter's gravity well can be practically free, by flybys of the Galilean moons.

This is backed up by the fact that Europa experiences an intense amount of tidal heating from it's galilean moon neighbors.

They're also not Galilean invariant (at least not without messing around with rescaling factors).

> the term Galilean invariance today usually refers to this principle as applied to Newtonian mechanics, that is, Newton's laws hold in all inertial frames.

Has anyone thought much about an (admittedly near impossible) probe to burrow and submarine around in the oceans of some of the juicier Galilean and Saturnian moons?

In the real world, fluid motion is Galilean invariant (unless you're talking relativistic motion, which is a whole other class of thing that lattice gases have trouble with).

You do need Galilean invariance, though.

I believe there's more evidence for an ocean in Europa than the other Galilean moons, and the ice sheet on top is thought to be substantially thinner.

There's a lot wrong with what you wrote, but the most glaring is your use of the term "Galilean mechanics".

They know that "A goes around B" and "B goes around A" are equivalent because there is no real Galilean reference frame.

That's Galilean (also termed "folk physics" or "naive physics", usually by cognitive scientists).

I think you're calling Aristotelian physics "Galilean mechanics."

Wrong on two levels: Our physical intuitions are Galilean, not classical, mechanics (that is, they are non-Newtonian).

Both contain extremely pertinent historical facts about the Galilean, Newtonian and Einsteinian revolutions.

The Divine Comedy also underlines that in the pre-Galilean European cosmology, the centre of the universe was not in fact considered the best place to be...