Could planets exist in stable orbits around binary stars?
That might depend on wether the binary stars are very close (and spinning about each other) such that they “look” almost like a simple center of gravity relative to a planet far enough away to not be affected by lets say bumps in the gravity field. Einstein told us that gravity distorts space and planets therefore merely follow the curved space layed out for them. The earth senses the gravitational pull of both the sun and say Jupiter but only the sun has a major affect because of proximity and mass. The short answer to your question is that planets can exist in stable (though irregular) orbits around binary stars depending on the curvature of space in its orbit. Hope that helps a little.
