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Does Earth have two high-tide bulges on opposite sides? (2014)(physics.stackexchange.com)
263 points by imurray 21 hours ago | 63 comments
srean 20 hours ago | parent | next [-]

The problem of predicting tides was so important that it attracted many Physics and Maths heavy weights. You can well imagine how important predicting tides would have been for D-day landing.

One related fascinating historical artifact is the special purpose analogue computer designed by Lord Kelvin in the 1860s based on Fourier series, harmonic analysis. Think difference engine in it's cogs and cams glory, but special purpose.

https://en.m.wikipedia.org/wiki/Tide-predicting_machine

Possibly one of the first examples of Machine learning, with Machine in capital 'M'. It incorporated recent tidal observations to update it's prediction.

Note that sinusoids are universal approximators for a large class of functions, an honour that is by no means restricted to deep neural nets.

George Darwin (Charles Darwin's son) was a significant contributor in the design and upgrade of the machine.

https://en.m.wikipedia.org/wiki/George_Darwin

Other recognizable names who worked on tide prediction problem were Thomas Young (of double slit experiment fame) and Sir George Airy (of Airy disk fame).

TomK32 11 hours ago | parent | next [-]

The Battle of Clontarf on April 23rd 1014 springs to mind. While the high tide was of favour for the invading Vikings (who had already founded and still ruled Dublin) at 5:30 in the morn, the battle lasted all day and the next high tide at 17:55 cut off their way to a nearby wood and many killed or drowned as their were pushed against the tide. The times were calculated in 1860 by Samuel Haughton.

There is of course an In Our Time episode https://www.bbc.co.uk/programmes/m0029qh3

CGMthrowaway 19 hours ago | parent | prev | next [-]

Have you seen the SF bay model? https://www.youtube.com/watch?v=i70wkxmumAw

trillic 12 hours ago | parent | next [-]

Check out current lab

Hyperlocal ocean modeling for science, defense, and recreational applications.

https://www.current-lab.com

Anecdotally works very well in Tidal harbors with multiple rivers.

srean 19 hours ago | parent | prev [-]

That was so fascinating. Thank you.

synalx 18 hours ago | parent [-]

If you're ever in SF, it's really worth going to see. Such a cool mixture of art and technology.

neilfrndes 20 hours ago | parent | prev | next [-]

Veritasium made a video on this topic a couple of years ago: https://www.youtube.com/watch?v=IgF3OX8nT0w

rhdjsjebshjffn 12 hours ago | parent | prev [-]

> You can well imagine how important predicting tides would have been for D-day landing.

Is this intended to communicate positivity or negativity?

Predicting tides was known to the ancients; it would be lovely to explore the hubris of the modern narrative.

Edit: fundamentally, if hacker news has taught me anything, it's that "downvote = makes me feel bad and doesn't want to answer questions". The entire concept of democratic news aggregation was a lie.

grues-dinner 8 hours ago | parent | next [-]

I think there are two ways to interpret that sentence: "it would have been important": one which implies tidal prediction was unavailable at D-day but would have been useful, and one that implies it was indeed available (subjunctive conditional or "the Anderson case", apparently, per Wikipedia)

I don't think anyone is claiming tide times were so unpredictable in 1945.

pfdietz 40 minutes ago | parent [-]

They were predictable. Interestingly, Rommel misunderstood how tides affected landings. He thought the landings would be done at high tide, so the invading troops wouldn't have to advance across wide expanses of beach. In reality, the allies wanted to invade on a rising tide, so the landing craft, grounded to let out troops, would refloat and be able to move back out. Also, invading at lower tide meant beach obstacles would be exposed and unable to damage the landing craft.

arghwhat 4 hours ago | parent | prev | next [-]

> Edit: fundamentally, if hacker news has taught me anything, it's that "downvote = makes me feel bad and doesn't want to answer questions". The entire concept of democratic news aggregation was a lie.

Guidelines:

> Please don't comment about the voting on comments. It never does any good, and it makes boring reading.

That it feels bad to not win the popular vote does not make democracy a lie, and there's no surprise in not winning favor when blanket discarding the current topic and describing it as "hubris", while not adding any new or constructive information.

krisoft 7 hours ago | parent | prev [-]

> Is this intended to communicate positivity or negativity?

It just says it was important to predict the tides. There is no positivity or negativity to it. Your question doesn’t make sense, hence the downvotes.

> Predicting tides was known to the ancients

Good. To which ancients? With what accuracy and how far into the future? What techniques did they use? Tell us more.

> it would be lovely to explore the hubris of the modern narrative.

Explore it then! Would love to read it. It is not like there is some conspiracy holding you back.

kgwgk 2 hours ago | parent [-]

>> Predicting tides was known to the ancients

> Good. To which ancients?

To the ancients of 1944 for sure.

HPsquared 20 hours ago | parent | prev | next [-]

So it's a bunch of complicated splashy water that is excited by the moon moving past, and follows along at the same frequency - but it's not a simple wave travelling around the world, for various reasons.

The earth itself is squashed like that with two bulges, but the water on the surface exhibits a more complex motion.

tomxor 18 hours ago | parent [-]

> So it's a bunch of complicated splashy water that is excited by the moon moving past

This explanation is so much better.

If people want to use big words they can say fluid dynamics, but yeah, it's a complex system with a big orbiting body pulling on it regularly, that gives the complex system rhythm but not order.

II2II 17 hours ago | parent [-]

That would be akin to describing a computer as a complicated arrangement of switches that control each other through pulses of electricity to do useful stuff. While it may satisfy a bunch of people who aren't really interested in how computers work, and it may even inspire a few people who are intrigued by how such a simple notion could produce incredible results, it doesn't really explain how computers work.

tomxor 5 hours ago | parent | next [-]

Splashy complicated water is an accurate but imprecise description, which is exactly what you want for an introduction. It's a complex chaotic system.

Computers are a terrible analogy for this type of minimal explanation of natural phenomena because computers are layers of designed complexity built by exploiting an understanding of multiple distinct natural phenomena... At the composite scale computers are a very unatural human construct, not something emergent that can be accurately expressed informally.

darkerside 13 hours ago | parent | prev [-]

But it is actually a bit more accurate than saying, electricity goes in and information comes out

dexwiz 9 hours ago | parent [-]

Information and electricity go in and information and heat go out, to be pedantic about a simplification.

kevindamm 2 hours ago | parent [-]

Electricity and possibly information, unless you're considering the structure itself to be information. Some ASICs only need to be powered on, for example.

antognini 19 hours ago | parent | prev | next [-]

When I was in grad school in astronomy, one of my professors told me "many a promising young researcher has run their career aground on the rocky shores of tides."

The mathematics involved in the theory of tides are formidable. Even in homogeneous, tidally locked systems things can get complicated very quickly.

But tides are nevertheless very important. One two objects pass very close to each other, tidal effects are substantial and can actual destroy one of the objects: https://en.wikipedia.org/wiki/Tidal_disruption_event

hinkley 16 hours ago | parent | next [-]

There’s been some backpedaling lately in the astrophysics community about whether a tidally locked planet could still maintain an atmosphere and potentially support life. More modeling on how such at atmosphere might work has turned from “no” to “maybe”.

Sharlin 10 hours ago | parent | prev | next [-]

See also:

https://en.wikipedia.org/wiki/Roche_limit

https://en.wikipedia.org/wiki/Roche_lobe

Indeed given that we now think most of the heavy elements in the universe were created in type 1a mass-transfer supernovae, we can ultimately thank tidal phenomena for the existence of things like rocky planets and humans.

zabzonk 17 hours ago | parent | prev [-]

destruction (or nearly) via tidal mechanics happens in several of larry niven's short sf stories

ghaff 16 hours ago | parent [-]

As I recall there were issues with the math in Neutron Star though still a very good story.

taneq 6 hours ago | parent [-]

I went to look up a relevant story I remembered, and Neutron Tide is indeed it.

mkl 5 hours ago | parent | prev | next [-]

That animation is great. I found the person who made it: https://ceoas.oregonstate.edu/directory/svetlana-erofeeva

That links to this website which has a similar animation for the current day: https://www.tpxo.net/

MostlyStable 5 hours ago | parent | prev | next [-]

I took a graduate level physical oceanography course and never learned this and still believed the tidal bulge story.

To be fair to the course, it was much more interested in currents than tides (I don't remember really discussing tides in any depth at all)

This is a great answer!

tylervigen 5 hours ago | parent | prev | next [-]

The explanation is phenomenal. I particularly like the elevation heat map, which helps me intuitively grasp what is going on.

This raises a question for me though: why do we show the tidal bulge graphic in any educational context? Like OP, the "far bulge" was always the most surprising and difficult-to-grasp part of the image. But this explanation would indicate that the far bulge is almost totally pointless as a concept, given the complexities of the system. Given it's the least intuitive part of the image, it invites additional consideration. But it's all the wrong consideration!

The model would be more useful if it only showed the bulge on the moon side, and excluded the far side bulge. It would still be wildly imprecise, kind of like the orbital model of atoms is wildly imprecise, but at least it would be a slightly more accurate (and useful) initial mental model.

Bjartr 4 hours ago | parent | next [-]

I expect because without the far bulge, 12 hour tides can't be explained. One bulge would mean 24 hour tides. Not that either explanation is actually correct, but the two bulge explanation matches the obseved periodicity, which is all most people would ever need or care to know about tides these days.

I can't for the life of me understand why graduate level oceanography courses would be teaching it though.

pcrh an hour ago | parent [-]

If the bulges were caused by water being attracted to the moon, there should not be a "far bulge"?

So how was the existence of a far bulge justified?

srean 4 hours ago | parent | prev [-]

It's an idealized model, accurate if Earth had only a single all encompassing deep ocean. Idealized models are good pedagogic tools to build corrections upon.

It's similar to depiction of projectile motions as parabola s. The trajectories of artillery shells ar not like that, but helps get started.

randallsquared 3 hours ago | parent [-]

Well, a single all encompassing deep ocean of something in which waves could travel 1600 km/h, since that's one of the major constraints, too.

jxjnskkzxxhx 4 hours ago | parent | prev | next [-]

So it appears that the answer is that the bulges are a forcing function, not a displacement.

Am I the only one skeptical that Newton would confuse a force with a displacement? What am I missing?

chermi an hour ago | parent [-]

Good point. I'd be curious if anyone actually has the text showing he said this. It's in principia I guess. My bet was that he never gave a full description, but rather just said that it is moon/sun that *causes* the tides.-- I'd wager he acknowledged the incompleteness of it. Which would still be mostly accurate. It's hard to imagine him knowing about the complicated tides in England and saying definitively he had a full model of the tides.

CommenterPerson 15 hours ago | parent | prev | next [-]

Six months ago, I spent a week at the shore. It happened to be full moon. We were out walking late at night while the moon was high up, and had to slog through ankle deep water on the way back. It was like clockwork roughly 12 hours apart.

Did read through stackexchange. It is indeed complicated. But the top response feels like paralysis by analysis. If we analyzed turbulent flow too much we would be unable to build rockets. Remember frictionless planes and point masses in high school? Those results are not exact either but a great way to model and understand what is going on.

Soooo .. could we make simplifying assumptions here? What if the earth was a smooth rigid sphere with a layer of water on the surface? The center of mass of Earth-Moon is at ~3/4ths of the earth's radius, from the earth's center. They are rotating about that center. The 12+ hour tides in many parts of the world start to make sense. Is there a mistake in this mental model?

dghlsakjg 13 hours ago | parent | next [-]

Your clock was off. Tides advance ~30 minutes per day. But not exactly 30 minutes. Sometimes more. Sometimes less. Sometimes it doesn’t follow a semi diurnal pattern.

Water can’t pass through landmasses, and that is a huge factor. If the earth had no landmasses, the tides would be entirely as you expect. However, if you look at a global visualization of tidal heights, you will see that a small landmass, NZ is a great example, can have highs and lows just miles apart. Same in Panama, what happens on the pacific coast is wildly different to what happens on the Caribbean.

In addition, the gravity of the sun comes to factor as well. Where I am, north of the 50th parallel, we simply don’t get very low tides during the day when we are near the winter solstice. The opposite happens in the summer.

The timing of the tides for any given spot tend to be predictable (where it is semi diurnal anyway, other places are a mess). But heights are extremely variable.

TomK32 10 hours ago | parent | next [-]

And then there's the Solent which for Springs has a double high tide as the western end of the Solent is quite narrow and the tide racing around the Isle of White and in from the wider eastern side. https://www.nci.org.uk/solent-tides/

kgwgk 10 hours ago | parent | prev | next [-]

> Your clock was off. Tides advance ~30 minutes per day.

“roughly 12 hours”

detourdog 7 hours ago | parent | prev [-]

Wind can have a large effect the Chesapeake Bay's tides during large wind events in the atalanitc can effect water levels by feet.

jhanschoo 12 hours ago | parent | prev | next [-]

The SE answer gave you a nice map. The points where the white lines coalesce experience no change in height. The blue regions experience low tidal amplitude, whereas the red regions experience high tidal amplitudes. The white lines are the lines of equal phase: if a point on the line is experiencing its high tide, so is every other point on the line, and likewise for low tide.

As is clear from the map, the tidal response is profoundly affected by land mass and ocean depth, which have complex shapes; so too the tidal response is as complex as it is, which is simple in comparison.

red369 13 hours ago | parent | prev [-]

From reading the accepted StackExchange answer, I think the answer to your last questions is that this model might still be too simplified.

In your simplified model of the Earth, you would also need to make the ocean deep enough that the water could travel fast enough to keep up with the Earth's rotation (~22 km).

alejohausner 19 hours ago | parent | prev | next [-]

In the animations, New Zealand stood out: the high and low tide chase each other counterclockwise around the islands!

fransje26 6 hours ago | parent | next [-]

Nicely spotted!

Calwestjobs 17 hours ago | parent | prev [-]

earth is 3D not 2D ;) "bulges" same. that is where confusion comes from. also tesseract is nonsense.

chermi 21 hours ago | parent | prev | next [-]

TL;DR newton basically got the FORCES right, but forces don't tell the whole story because of (mainly ) 1) insufficient propagation speed because ocean is deep 2) think of it kind of like a diff eq, the boundary conditions (largely from land masses) from the actual structure of the earth make the solutions much more interesting than F=ma might suggest.

Edit- I recommend actually reading it, especially the second answer.

why_at 17 hours ago | parent | prev | next [-]

Damn, I just had one of those moments where you go from thinking you understand something to realizing it's really complicated and you don't understand it at all.

jxjnskkzxxhx 4 hours ago | parent | prev | next [-]

So it appears that the answer is that the bulges are a forcing function, not a displacement.

Am I the only one skeptical that Newton would confuse a force with a displacement?

coolcase 19 hours ago | parent | prev | next [-]

Try to get your head around this while simultaneously not thinking of gravity as a force but curvature in spacetime.

senderista 17 hours ago | parent [-]

No, don't! Use the simplest model that applies in your context!

coolcase 15 hours ago | parent | next [-]

I agree, I meant to add "as a mind bending exercise to realize how complex nature is!"

verzali 7 hours ago | parent [-]

Its all models in the end. Half of physics is just putting things in the easiest frame or model to solve the problem you want to solve. And the other half is often simplifying things down to the proverbial spherical cow in a vacuum.

Calwestjobs 17 hours ago | parent | prev [-]

exactly, like water is excellent model for electricity, but youtubers want to be edgy, provocative so they intentionally drop something which needs 20+ years of intentional thinking / education on high schoolers.

inetknght 13 hours ago | parent [-]

I like AlphaPhoenix's video on it.

https://www.youtube.com/watch?v=C3gnNpYK3lo

imurray 21 hours ago | parent | prev | next [-]

I was asked why there are two tides a day in an interview for my undergraduate University place. I blundered through to the classic answer. This stackexchange discussion made me realize I was even more of an imposter than I thought :-).

Retric 21 hours ago | parent [-]

If it makes you feel better, the crust of the earth does bulge more in line with the classic answer due to the flow of the underlying magma being effectively uninterrupted by solid obstructions. Which then means the classic tidal answer is technically correct, except what we observe as tides is a delta between land and ocean.

joshmarinacci 20 hours ago | parent | prev | next [-]

I think of it not as Newton was wrong, but rather his explanation was incomplete.

Calwestjobs 17 hours ago | parent [-]

Most kind way of saying Newton was a simple man.

umanwizard 20 hours ago | parent | prev [-]

So, yet another thing I learned at school was bullshit. Pretty interesting to know!

an0malous 18 hours ago | parent | next [-]

What are the others?

The Bernoulli principle is one.

roelschroeven 17 hours ago | parent | next [-]

The Bernoulli principle is not bullshit -- it is very valid physics.

You might be thinking the way it's often used to wrongly explain how airplane wings generate lift. Yeah, that's bullshit. I mean, the principle still applies, if applied correctly. The equal transit bullshit that it's often associated with, well yes, that's complete and utter bullshit.

umanwizard 10 hours ago | parent | prev [-]

“Serious companies will require you to comment every line of code”

daveguy 19 hours ago | parent | prev [-]

Turns out teachers are people and general understanding evolves over time and not all at once.

Who would have guessed. Well, Laplace maybe.