4 ms·
Interesting question. Given n stars/whatever at varying positions, is there always at least one point where the gravitational forces cancel out? Or is that just
by somewhereoutth 3y ago
Interesting question. Given n stars/whatever at varying positions, is there always at least one point where the gravitational forces cancel out? Or is that just a solution to the simple cases of two bodies or a single body in the form of a sphere or shell?
- dangond 3y agoI can't do the math to determine this more rigorously, but my intuition tells me you can do something analogous to the Hairy Ball Theorem to prove that there exists a point within the convex hull of those stars where the gravitational forces cancel out. However, as the stars move, there's no guarantee that point will remain static and stable.