You’ve probably noticed that Europa’s surface, which is made of ice, has tons and

tons of cracks, but I want to direct your attention to this weird repeating arc pattern

– each segment of arc is roughly 100km long!

And there are a lot of these arc patterns.

Most of them are ridges raised up above the surrounding surface, though a few are troughs.

After they were discovered, their shape reminded scientists of a mathematical curve called

a cycloid ; so the Europa curves are called “cycloid curves”.

These curves are weird – geological and astrophysical processes are really good at

making round features, or straight features, or wavy features – but what causes repeated

arcing cycloids?

Well, we think that the Europan surface is made of frozen water at least several miles

thick, which we believe is floating on top of an ocean of liquid water.

This means its surface kind of works the way tectonic plates do here on earth, spreading

apart and generating new ice, crashing together and being subducted, and so on – and here

on earth, plate tectonics has caused cycloid-esque curves all around the pacific ring of fire.

Our best guess for how the pacific arcs form is based on what happens when the ocean plates

get pushed under continental plates: because the earth’s surface is curved, you get a

similar effect to what happens when you dent a ping pong ball – you might get a circle,

or if you press harder, multiple circular arcs: cycloid curves!

However, this doesn’t appear to be the answer on Europa, because there are so many cycloid

curves and they overlap in tons of places and none of them really show signs of one

piece of the surface being pushed under another.

The current best theory for the origin of the Europan cycloids has to do with its weird

tides.

Jupiter causes tides on Europa, but they’re not from rotation beneath a tidal bulge (the

way tides are here on earth); the same side of Europa always faces Jupiter.

No, Europa has tides because its orbit isn’t a perfect circle – it’s ever so slightly

elliptical, so as Europa moves closer or farther from Jupiter, the nature of Jupiter’s gravitational

pull changes.

On the scale of the whole moon, these tides manifest as a kind of squeezing and stretching,

which due to the interaction of geometry and physics results in any given point on the

icy surface being pressed together at one time in the orbit, and then stretched at a

later point.

And the aspect of tides key to understanding the cycloid curves is that the direction of

the compression and stretching changes over the course of each orbit, rotating around

and around like a hand on a clock.

Specifically, the compression/tension direction rotates clockwise in the southern hemisphere

and counterclockwise in the northern hemisphere, and it takes one orbit to complete a full

rotation.

So, when there’s enough stretching tension to form a crack in the ice, the crack will

start propagating perpendicular to the tension.

But remember, the direction of the tension is changing.

If, say the crack is growing to the east in the northern hemisphere, the counterclockwise-changing

tension will curve it up away from the equator (and if it’s going west, it’ll curve down

towards the equator).

As Europa continues orbiting, the tension will eventually turn to compression, so the

crack will stop growing.

The compression angle will continue turning, though, and by the time the compression turns

back to tension, the direction will have rotated back around enough that the crack will make

a sharp turn when it starts cracking again.

At which point it resumes its upwards-curving trajectory.

There’s probably a little more subtlety due to a stress-strain process called “tailcracking”

that helps the sharp corners form for each new segment, but this is basically the best

current theory explaining the Europan cycloids: cracks grow because the tides from Jupiter

create tension in the ice, and that tension direction changes over time, curving the crack.

Then the process repeats again, starting the crack off in the original direction, curving

again, and so on.

And that’s how waves form on a frozen world.

This video was supported by NASA’s James Webb Space Telescope Project at the Space

Telescope Science Institute.

There’s still a ton we don’t know about Europa - the Hubble telescope has detected

what we think are plumes jetting from Europa’s surface - perhaps water spouting up through

cracks in Europa’s icy surface, and if so, the plumes could give us insights into the

oceans beneath.

The James Webb telescope will use its powerful thermal imaging and spectroscopy to investigate

Europa’s plumes and to study the geologic activity, tides, and tectonics of Europa and

other outer solar system planets and moons, hopefully answering questions about how they

formed, how they continue to behave, and whether they have conditions amenable to life.