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Let's say we have a colony on Europa (or any other Jovian moon really). Jupiter exerts a lot of tidal forces on its satellites. Could this force be used to generate energy for our colonists?

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    $\begingroup$ There's a bit of an issue with Europa being tidally-locked with Jupiter, but that's not to say it's impossible. $\endgroup$
    – john3103
    Oct 30, 2013 at 0:46

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We don't really know how the tidal energy that Europa gets from its orbit around Jupiter translates exactly to its surface or subsurface activity, so it would be hard to speculate on any possible power plant types that we might employ to produce electrical power, but Europa's orbit is kept elliptical (orbital eccentricity of 0.0094) due to the resonance with the other Galilean moons, especially the Io and Ganymede that are in lower and higher orbits than Europa is, respectively:

                                        Io-Europa-Ganymede Laplace resonance

   The Laplace resonance exhibited by three of the Galilean moons. The ratios in the figure are of orbital periods. (Source: Wikipedia)

This translates into an enormous gravitational pull that is not synchronised with Europa's surface because of the libration effects, even though Europa is tidally locked to Jupiter. If this is hard to imagine, this is, for example, how Lunar librations look like:

                         Tidal locking of the Moon with the Earth

                         Lunar librations in latitude and longitude over a period of one month (Source: Wikipedia)

This Laplace resonance of the Io-Europa-Ganymede system of Jovian moons (their relation locking is described by $\Phi_L = \lambda_{Io} - 3\lambda_{Eu} + 2\lambda_{Ga} = 180°$, where $\lambda$ are mean longitudes of the moons), on top of a small Europa's orbital inclination with respect to the Jovian equatorial plane (0.470°) results in also relatively small orbital eccentricity, but enough to result in tidal bulges, tidal dragging and torque (see Wikipedia page on tidal locking mechanisms for description) that translate into thermal energy and keep Europa a geologically active body.

Observations of the Galileo spacecraft have proven that Europa's surface forms fresh cracks and sustains a tenuous ionosphere that needs to be constantly replenished not to be blown away by radiation pressure, so we know for sure that Europa has dynamic processes that might result in usable, easily convertible into electrical power geothermal activity, perhaps in a form of seafloor hydrothermal vents like some theories suggest or even periodic and stable surface geysers (perhaps like the renowned Yellowstone Old Faithful Geyser) like the presence of surface magnesium seems to suggest:

       Europa's surface activity

         Jupiter’s moon Europa has an ocean under its frozen surface. The ocean is thought to be around 62 miles deep and is likely
         made up of magnesium chloride, which leaks to the surface of the moon. (Source: JPL-Caltech)

The finding, based on some of the first data of its kind since NASA's Galileo mission (1989–2003) to study Jupiter and its moons, suggests that there is a chemical exchange between the ocean and surface, making the ocean a richer chemical environment, and implies that learning more about the ocean could be as simple as analyzing the moon's surface.

"We now have evidence that Europa's ocean is not isolated—that the ocean and the surface talk to each other and exchange chemicals," says Brown, professor of planetary astronomy at Caltech.

Source: California Institute of Technology

If the tidal energy would be easier to convert into electrical power with the use of geothermal power plants, tapping into the kinetic energy of subsurface waves with wave power plants, or if it sustains constant currents that could power hydroelectric power plants, that remains to be established though. Perhaps the planned ESA's (European Space Agency) JUICE (JUpiter ICy moons Explorer) mission will give some hints on that.

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    $\begingroup$ Re JUICE "Planned for launch in 2022 and arrival at Jupiter in 2030". Damn it, why do all the cool missions seem so far away. $\endgroup$ Oct 31, 2013 at 19:05
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    $\begingroup$ @SystemDown So we have a reason to live healthy and see it come there ;) $\endgroup$
    – TildalWave
    Oct 31, 2013 at 19:07
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    $\begingroup$ Good point! Off to the gym with me. $\endgroup$ Oct 31, 2013 at 19:11
  • $\begingroup$ even when this object gets there it will be worth the wait I read your thoughts on how to kick start mars' magnetic field and imagine 3 earth colonies in our own solar system we are extremely lucky to have such a habitable solar system $\endgroup$ Oct 20, 2016 at 11:52

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