In celestial mechanics, the Lagrange points are points of equilibrium for small-mass objects under the gravitational influence of two massive orbiting bodies. Mathematically, this involves the solution of the restricted three-body problem.
The Lagrangian L2 point for the Sun–Earth system
Centrifugal force is an inertial force in Newtonian mechanics that appears to act on all objects when viewed in a rotating frame of reference. It is directed radially away from the axis of rotation. The magnitude of centrifugal force F on an object of mass m at the distance r from the axis of rotation of a frame of reference rotating with angular velocity ω is:
The interface of two immiscible liquids rotating around a vertical axis is an upward-opening circular paraboloid.