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Time goes faster the weaker the gravitational field you are in as long as your velocity is constant. The Voyager probes have moved a long way from the sun and its planets so I presume time must be going slowly faster for them. Is this true and if so do we know how much faster time is going for them than Earth?

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    $\begingroup$ "slowly faster"? $\endgroup$ – Mark Adler Nov 21 '16 at 7:07
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You can see this answer for the formulae. We would expect that Voyager 1's local time is faster than Earth time by about one part in one hundred million.

I don't think that the Voyager oscillator is stable enough to measure that small of a difference. So we can't directly answer "is this true". However it would be a mind-blowing discovery throwing our most basic understanding of physics into disarray if it weren't true.

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