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May 30, 2019 at 6:11 history edited uhoh CC BY-SA 4.0
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May 30, 2019 at 6:10 comment added uhoh @LoganPickup yep I think you're right, changing now. Thank you!
May 30, 2019 at 6:03 comment added Logan Pickup "On the close side, being 6,378 kilometers closer, would feel an acceleration 1.2 m/s^2 less" <- 1.2 m/s^2 more?
May 29, 2019 at 21:48 vote accept Yevgeny Simkin
May 28, 2019 at 5:24 comment added uhoh @mckenzm yes. Earth's center of mass is closer to Jupiter than the people on the far side, so Earth experiences a greater acceleration than the people do. That's why the diagram showing outward-pointing arrows on both sides of the Earth is always confusing at first.
May 28, 2019 at 5:04 comment added mckenzm Lighter on the far side?
May 28, 2019 at 4:07 comment added Peter Cordes Glad I could help, thanks for doing the math and writing it up, this is an interesting Q&A. :) I thought about adding in the phrasing "having the Earth pulled out from under them (even faster than the extra pull of Earth + Jupiter)" for the people on the far side, but I don't see a place to put it without being redundant or rewriting a whole chunk.
May 28, 2019 at 0:06 comment added uhoh @PeterCordes that's so much better than I could have done I've just quoted you, thank you. Please feel free to edit the answer further!
May 28, 2019 at 0:05 history edited uhoh CC BY-SA 4.0
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May 27, 2019 at 22:56 comment added Peter Cordes TL:DR Jupiter isn't dense enough for its gravity gradient over Earth's radius to produce a 1g tidal acceleration, even right at Jupiter's surface.
May 27, 2019 at 18:49 comment added uhoh @Barmar double check the second paragraph that begins with: "It's not like a vacuum cleaner that selectively lifts small and light objects..." The Earth's momentum does not affect the Earth's acceleration, and the acceleration of objects of different sizes near Jupiter will be (almost) the same because the force depends on the mass; $F_E=M_EM_J/r^2$ so the acceleration $a_E=F/M_E=M_J/r^2$ is independent of the mass. I say "almost" because the Earth is so big that it's gravitational effect on Jupiter is very small but can't be completely neglected.
May 27, 2019 at 18:35 comment added Barmar Isn't the earth's momentum a zillion times larger, so its motion won't be perturbed as much as a person?
May 27, 2019 at 17:34 history edited uhoh CC BY-SA 4.0
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May 27, 2019 at 17:33 comment added uhoh @ShakesBeerCH it looks like your edit was rejected, but there was indeed an error in the arithmetic. $GM_J/(R_E+R_J)^2=20.9$ m/s^2, etc. Can you check again, thanks!
May 27, 2019 at 17:29 history edited uhoh CC BY-SA 4.0
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May 27, 2019 at 11:54 review Suggested edits
May 27, 2019 at 13:28
May 27, 2019 at 9:56 history edited Glorfindel CC BY-SA 4.0
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May 27, 2019 at 1:06 history answered uhoh CC BY-SA 4.0