What Are Lagrange Points In Space?

[@johnwilliams3555]

That was great. There are more L points than I knew about.

[@andrewd4723]

Great explanation! My question is, wouldn't there be points similar to L4 and L5 90° from the orbital plane?

[@OVAstronomy]

Thank you. And I don't believe there would be any similar points 90 degrees from the orbital plane due to the lagrange points being places where the gravitational forces from the sun and earth and the non-intertial centrifugal force cancel out. This should only be able to happen within the plane of the sun and earth otherwise there would be an extra gravitational force component pulling the object back towards the sun earth plane (hence not in equilibrium). In other multibody systems however you could have equilibrium points which are not directly in the plane of the two most massive bodies (such could be the case with the moons of Jupiter), but I doubt 90 degrees to it.