Roche Lobe

The Roche lobe is the region of space around a star in a binary system within which orbiting material is gravitationally bound to that star. If the star expands past its Roche lobe, then the material can escape the gravitational pull of the star. If the star is in a binary system then the material will fall in through the inner Lagrangian point. It is an approximately tear-drop shaped region bounded by a critical gravitational equipotential, with the apex of the tear-drop pointing towards the other star (and the apex is at the L₁ Lagrangian point of the system). It is different from the Roche limit which is the distance at which an object held together only by gravity begins to break up due to tidal forces. It is different from the Roche sphere which approximates the gravitational sphere of influence of one astronomical body in the face of perturbations from another heavier body around which it orbits. The Roche lobe, Roche limit and Roche sphere are named after the French astronomer Édouard Roche.