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Apr 4, 2021 at 4:21 vote accept Wesley Adams
Apr 4, 2021 at 4:20 comment added Wesley Adams Huh! I had the exact same idea for how to figure out how much gravity would need to be canceled, and I was coming back here to resolve the question. Sorry about the confusing original question by the way. I'm only just learning f = ma in class and I'm not very good with formatting my questions in an understandable way. Thanks!
Apr 3, 2021 at 17:20 comment added Russell Borogove Fixed my cosine nonsense. The square relation seemed right to me at first, but then I outsmarted myself by thinking, "no, the arc of the Earth's surface is a circle, not a quadratic..." Thanks to you sensible people!
Apr 3, 2021 at 17:18 history edited Russell Borogove CC BY-SA 4.0
added 279 characters in body
Apr 3, 2021 at 4:36 comment added uhoh @OrganicMarble I was focused on writing the "please feel free to yell at me" part. I'd come back a few minutes later to add the centripetal part but failed to scan for prior art. I saw "some sort of trigonometric relationship" here and under the question, got worried, and wanted to offer a simpler alternative. Now, did somebody say something about a deadline (excuses themself and leaves the room)
Apr 3, 2021 at 4:29 comment added Organic Marble @uhoh I certainly thought so when I commented that 4 hours before you did.
Apr 3, 2021 at 2:29 comment added uhoh I've edited the question and commented there and voted to re-open. I don't think that the edit makes any changes that affect your answer. If it does, please feel free to yell at me and/or edit it further. Also, is centripetal acceleration $v^2/r$ all that's needed here? It's non-linear, zero at zero and $g$ at orbital speed and radius.
Apr 2, 2021 at 21:56 comment added Russell Borogove Yeah, that seems reasonable.
Apr 2, 2021 at 21:54 comment added Organic Marble Wouldn't the upward acceleration be v^2/r? So for an SR-71 at 26 K meters (+ Earth radius) and that speed, ~.2 m/s^2 which is ~ 2% of g, pretty close to what you got.
Apr 2, 2021 at 20:48 history answered Russell Borogove CC BY-SA 4.0