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Apr 13, 2017 at 12:52 history edited CommunityBot
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Mar 24, 2015 at 8:55 history edited Wrzlprmft CC BY-SA 3.0
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Mar 23, 2015 at 23:04 comment added 2012rcampion At first I thought you were wrong about the machine ending up on opposite sides of the Earth, in traditional orbits the apogee occurs at only one point; however, inside the Earth gravity goes like $r$, not $1/r^2$, and the orbits in such a potential are, interestingly, ellipses with their centers (not foci) at the center of mass. Note that the period is the same as a surface-skimming orbit (84 minutes) so you'd end up 21 degrees more westerly after every "interior orbit." (Or after 42 minutes you'd be 160 degrees more easterly, in the opposite north/south hemisphere.)
Mar 23, 2015 at 16:33 history answered Wrzlprmft CC BY-SA 3.0