Given two triangles in 3D, defined by points [t1.v1, t1.v2, t1.v3] and [t2.v1, t2.v2, t2.v3], where vX are points with variables (x, y, z).
How can I calculate the force of gravity between them?
Formula for point masses:
force = constant*mass1*mass2/(distance^2);
For my application, the triangles will be close together, and approximating via point masses would not have the required precision.
I understand that this could be solved with a quadruple integral, but I don't have much mathematical know-how towards creating or solving such a complicated equation.
Edit:
My similar (related) question on math.stackexchange: https://math.stackexchange.com/questions/1082860/general-solution-for-the-gravity-between-two-3d-triangles/