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Wherever pressure differs with location, there's a pressure gradient force. Horizontal, vertical, oblique, doesn't matter. It's just that we normally only consider the horizontal components, because the vertical component achieves hydrostatic equilibrium almost instantaneously and doesn't tell us
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Afaik the Earth's Moon isn't considered to be in hydrostatic equilibrium either. This would make it the largest object that isn't in hydrostatic equilibrium, not
Iapetus. Haumea per its equatorial equator would also be larger than Iapetus and doesn't have a spherical shape but the shape of a rugby
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The definition given in the head, besides being vague, seems wrong. Doesn't hydrostatic equilibrium require isotropic stress (i.e. stress is only the hydrostatic pressure)? Note that the velocity field may be constant over time (in the
Lagrangian view) but the fluid may be accelerating (in the
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The article later says that (dwarf) planets "have sufficient gravity to overcome their own rigidity", which leaves the above questions open. That's maybe on purpose, but one could just list possibilities. I've browsed a bit some
Knowledge articles (on fluids, solids, etc.) without being able to
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I believe you're correct. That's how I understand it from physics classes way back when, and that's what the reasoning in the "mathematical consideration" section implies. I'm changing the lead to say "for each parcel of fluid" instead of "at each point".
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does solid rock at high pressure fracture so that, even though it's not a liquid, it can rearrange anyway, a bit like in landslides? If so, hydrostatic equilibrium is not restricted to fluids, and the article should IMHO clarify
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However, that text has been left as a HTML comment in the head section for now, pending clarification of the questions above (namely, if the definition of "hidrostatic equilibrium" given here is correct and general enough.)
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The term pressure gradient force relates to horizontal gradients, not the vertical. The atmosphere resists gravity not because of the pressure gradient force, but because of its expansive internal energy, i.e. heat.
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I'd then like to be able to describe
Hydrostatic equilibrium in context, something like "Xair gains energy as it approaches equilibrium, but due to mixing and cooling it often becomes Yair" any suggestions ?
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A body in hydrostatic equilibrium is not necessarily an oblate spheroid. It could also be a triaxial ellipsoid, as was shown by Jacobi. This is discussed in great detail in
Chandrasekhar's book
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The concept of hydrostatic equilibrium is important in every context where there is fluid standing still. (It is what prevents the tea from squirting out of a teapot's spout, for example).
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Besides (as others pointed out above) celestial bodies and atmosphere are hardly good examples of fluids in hydrostatic equilibrium, except in the most crude approximations.
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While speaking from a position of relative ignorance,I came in here specifically to say that I found that section delightful in its clear plain language and description--—
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ball. Iapetus on the other hand does look spherical, unlike the section phrase describes it. The phrase has been changed but someone changed it back without elaboration.
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From my observations, my surrounding atmosphere is rarely in equilibrium, so I am assuming the conditions either side could be defined, hopefully with names, any ideas?
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figure it out. (I got physics in high school, but we did not remotely cover such topics). Could someone revise the article to clarify this point for the layman?
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The article introduces hydrostatic equilibrium for fluids. Later, it talks about planets being in hydrostatic equilibrium. It's not clear why that makes sense:
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The astrophysics section is currently just embarrassing. No, a star is not like a balloon! And what's that nonsense about an "isotropic gravitational field"?
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However this article makes it seem that it is an abstruse topic of interest only to astrophysicists and (a little) to meteorlogists.
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When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
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has been merged into this one, since a "hydrostatic fliud" is (or should be) nothing else than a fluid in hydrostatic equilibrium.
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Eulerian view). Presumably one shoudl say that the flow velocity is small enough for the inertia to be negligible?
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to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
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For that matter, a body in hydrostatic equilibrium need not even be an ellipsoid. For example,
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I want to know which are another seven objects in hydrostatic equilibrium.
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I agree with "OinkOink" - especially the part about "centrifugal force"!
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can u please point the links for juno and vesta to precise articles???
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Hydrostatic equilibrium ??
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does solid rock at high pressure behave like a liquid anyway?
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for additional information. I made the following changes:
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