I'm trying to figure out how to mathematically derive the common points of two intersecting circles on earth's surface given a center Lat/Lon and a radius for each point.
- Lat/Lon (37.673442, -90.234036) Radius 107.5 NM
- Lat/Lon (36.109997, -90.953669) Radius 145 NM
I should find two intersection points with one of them being (36.948, -088.158).
It would be trivially easy to solve this on a flat plane but I don't have any experience solving equations on an imperfect sphere such as the earth' surface. Any help would be appreciated!