Lagrangian

Is there anything at the Lagrangian points of the Earth-Moon system?

The Newtonian law of gravitation afforded a complete explanation of the rise and fall of the waters of the oceans, but as applied to the motions of planets and satellites by the Lagrangian formulae, it presupposed that all these bodies are rigid and unyielding.

After studying a recursive formulation and the associated Bellman equation, in section 5.5 we analyze a Lagrangian formulation that provides useful insights about how Lagrange multipliers on transition laws relate to gradients of value functions.