[ovrtaxt]

See post 32. The L4 and L5 type of points act as a "virtual mass" attracting objects. You have to work out Lagrange's math to see the "why." If you do, you can explain it to me in layman's terms

im trying, but it's escaping me. what's stumping me is the 60 degree thing. it would seem that a more massive planet would generate a L point at a farther distance along the orbital path. I wonder if Lagrange is assuming that the two bodies are the same mass?but now, I might be mistaken, a hmm hmm hmm!

[VadeRetro]

im trying, but it's escaping me. what's stumping me is the 60 degree thing. it would seem that a more massive planet would generate a L point at a farther distance along the orbital path.

Yes. The bigger the orbit, the farther away the L4 and L5 points.

I wonder if Lagrange is assuming that the two bodies are the same mass?

Not if you mean the sun and Jupiter, or any two real bodies. If you mean the L4 and L5 apparent masses, that web page uses one description for both.

[RightWhale]

the 60 degree thing.

It's a matter of proportion not scale. The moon has such points, as does earth. L4 and L5 are 60 degrees as seen from the point at the center of the orbit.