In the two-dimensional case, solutions of Laplace's equation \D... | Filo

Guru Vidhya on Instagram: "In a two-dimensional gravitational potential well that satisfies Laplace’s equation, the center forms a saddle point — stable in one direction, unstable in another. So, if a ball is placed at the center, it eventually rolls away due to the instability. There’s no true equilibrium. However, when the entire setup is rotated at a certain angular frequency, the system changes. In the rotating frame, centrifugal and Coriolis forces appear. These modify the dynamics — the ce