I Would Newton's shell theorem prevent binary planet systems?

Would the shell theorem prevent a binary planet system, with two ideally equal masses, structure etc?

 

I meant two planets of the same mass and make up(ideally).



take these two binary planets, of equal construction(green+red). In the shell theorem, the green part of the planet, would have no gravitational pull on the red part of the planet, so there is nothing to hold the red part on...and so on.

 

yes, I think you're correct....I've jumped the gun again...

 

or maybe I'm right(probably not....)...surely if the shell theorem holds for a whole sphere, it would also hold for a symmetrical two body system...?

 

yes,if I'm right; in the process of the formation of a binary planet system, from dust, one of the planets, would have to be smaller than the other, by some factor, I would guess.

 

ok so I may well have jumped the gun, but is there still something to the idea?

So maybe the shell theorem wouldn't apply exactly, but just enough to cause a binary system, to need to have two different sized planets?

 

ok, there's probably next to nothing in the idea...