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This answer links to Spaceflight 101's One Week to Jupiter – NASA’s Juno Spacecraft en-route to Gas Giant after five-year Journey which says

Also, Juno will put Einstein’s General Theory of Relativity to the test by studying orbital frame dragging close to a massive body.

Question: How, and How Well will Juno measure the effects of frame dragging? What instruments and/or equipment will be used to detect frame dragging? Will it be a fairly precise quantitative determination, or more of a qualitative "yep, there's an effect" verification?

The biggest effect of Jupiter's rotation is the gravitational quadrupole or J2 moment caused by Jupiter's oblateness, which is a result of the rotation. It causes the apses of Juno's orbit to precess substantially. See Juno's original orbit around Jupiter - is this apsidal precession? If so, need expression.

enter image description here

above: a plot of Juno's original planned orbit. Because of a slow responding helium check valve, Juno actually was left in its higher orbit, but still experiences precession of the apses. Plot from here.

So the frame dragging would have to be separated from all other effects due to deviations of Jupiter's gravity field from a pure monopole. This sounds extremely difficult!

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So the frame dragging would have to be separated from all other effects due to deviations of Jupiter's gravity field from a pure monopole.

It's much worse than that. Frame dragging is a rather small effect, even in a highly eccentric Jovian orbit with a low periapsis distance. Atmospheric drag, Jupiter's $J_2$ and $J_3$ are much greater perturbations on Juno's orbit than is frame dragging. One of the key purposes of the Juno Gravity Science experiment is to ferret out parameters such as the (classical) $J_2$ and $J_3$, along with other spherical harmonics, as these give deep insight into the nature of Jupiter's core. For example, it is now known that the neither the core of the Moon nor of Mars is frozen completely solid given observations of the orbits of satellites orbiting those bodies.

That said, getting those classical spherical harmonics coefficients more or less correct means that frame dragging (and atmospheric drag) need to be taken into account. This is not Juno's job. This gets at the key question,

Question: How, and How Well will Juno measure the effects of frame dragging?

Juno doesn't measure this. This is the job of systems on the Earth. Juno itself knows very little about its orbit. It knows instead that at certain times, it is commanded to rotate so that the only large bright object in view (aka Jupiter) becomes centered in its field of view, and that it must correct its rotation rate so that this large bright object remains centered in its field of view.

Juno's flight software doesn't know that it is orbiting that large bright object, let alone knowing that a simple monopole model does not fully describe that orbit. This knowledge instead is the purview of observational equipment and people on the surface of the Earth. It helps a lot that a key part of the Juno Gravity Science experiment includes equipment on Juno that enables systems / people on the Earth to measure Juno's range rate at the microns per second level.

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  • $\begingroup$ You've truncated after the first sentence; the second sentence of that paragraph is "What instruments and/or equipment will be used to detect frame dragging?" and I think, while it's implicit, that we all know that means used by humans rather than some AI on board. Besides the phase-coherent transponder and general support electronics (power, computer, ADCS, etc.) is there anything on the spacecraft that's participating in the measurement (supersensitive accelerometers or a ultra-stable oscillator or probe of the atmosphere?) or just strict orbit analysis that's used to do this? $\endgroup$ – uhoh Sep 11 '18 at 12:58
  • $\begingroup$ Do you recall some discussion that I've tried to describe here? I'm sure I remember you explaining how a moon can induce an "image" in the density of a gas giant's atmosphere and thereby experience some kind of tidal interaction, but I can't remember any details. $\endgroup$ – uhoh Nov 1 '18 at 23:07
  • $\begingroup$ As far as this question and "What instruments and/or equipment will be used to detect frame dragging?" would that include anything beyond the transponder for delay-doppler? $\endgroup$ – uhoh Nov 1 '18 at 23:10
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I'll just address the "How" part (leaving "How well") to @DavidHammen's answer.

There is no "frame dragging sensor" aboard Juno. As an orbiter of Jupiter, it's trajectory is the "sensor" and the trajectory is determined by various radiometric techniques based on delay-Doppler measurements from the Deep Space Network on Earth.

These can include both two-way (send a coded, stable frequency signal, receive the phase-coherent rebroadcast from the spacecraft, apply correlation to precisely determine the delay and the Doppler shift) and more complex methods. For more on that see @MarkAdler's answer to

For more on precision tracking in general, see @TomSpilker's answer to

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