Hi,
For a multibody stationary system of uniform mass points distributed in
2D or 3D space, is there a way to precisely find or estimate the location in 2D or 3D space where the gravitational field strength is lowest in a given bounded domain?ie for 2 masses 1 meter apart, centered in a 3D space that is a 2meter cube, the gravitational field strength will be lowest directly between the two masses.
Are there examples of a stationary system where there are multiple point locations with the same minimum gravitational field?
I am wondering if there is a single formula to calculate the location of minimum field strength or if an algorithm is needed to narrow down where the lowest field strength is and recursively narrow down the field location which could use a lot of computation as I want to make this calculation each time I add a new mass to the system.
cheers, Jamie