Mek smol
Is it theoretically/practically plausible to have two planets orbiting a gigantic body in the same orbit?
I have set of points S and I'm trying to find a point P(x0,y0) such that for every point P' in S the line joining P and P' contains no other points of S.
I don't know where to find resources about this problem, which seems pretty hard to tackle especially because I don't even know if such a P exists for every input sets. Does anyone have any suggestion about how to tackle the problem?
I've already spent some time looking around for possible culprits, but don't have anything that matches up perfectly.
I was stargazing in a meadow around 2:00ish last night, watching the Leonids, but kept on getting distracted by something about halfway in between Sirius and Leo. Every 5-10 minutes, a starlike object would rapidly blink into and then out of existence, lasting less than half a second. This reoccured 6-7 times (that myself or my friend noticed) over the course of around an hour.
Because it happened so quickly, it was difficult to determine exact brightness and position, but it seemed on the same order of magnitude as Sirius. I am not really sure about it's movement, but it seemed as though it appeared/reappeared in roughly the same area each time.
It seemed to be moving much to slowly for a satellite, (I'm at 35 degrees N, so I think geosynchronous sats can be ruled out). It was too far above the horizon to be something terrestrial (power line, building). It was a cloudless night, so I don't think it was simply clouds drifting in front of a star. I've checked for sats or planets in the area, I can't find any culprits who would have been there for over an hour.
So basically I've got a starlike object that distinctly blinks into and out of existence every 5-10 minutes. Any ideas here?
