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Feb 1, 2021 at 12:11 comment added PM 2Ring The Google Calculator is handy for things like this. Eg, put (149598023 km)*((1 earth mass)/(1 solar mass))^0.4 into the Google search bar & it returns 924 520.73 kilometers.
Feb 1, 2021 at 12:09 comment added Frotaur I direct you to answers to this question space.stackexchange.com/questions/3015/… . In short, for your purposes you should use the Hill sphere, which specifically answer which body will a satellite orbit, whereas the SOI is more used to guide choice of frame of reference for modeling purposes.
Feb 1, 2021 at 12:03 comment added Mister J You're right, i misinterpreted the wiki page, but while i was looking for answers, i found a thing called a hill sphere, are these the same? If not, what is the difference? thx
Feb 1, 2021 at 12:01 vote accept Mister J
Feb 1, 2021 at 11:56 history answered Frotaur CC BY-SA 4.0