Three of them are unstable, but the other two can be stable given a sufficiently high mass ratio.
One of these entities may contain Kordylewski clouds, while another one of them contains objects called the Greek Camp. The namesake of these objects predicted their existence while considering a restricted case of a problem solved in general by Sundman. Three of them are unstable, but the other two can be stable given a sufficiently high mass ratio. These components of the circular restricted three-body problem solution contain the Trojans Asteroids and at these locations the net gravitational pull is precisely equal to the centripetal force necessary to maintain a common orbit. For 10 points, name these positions where an object will remain motionless with respect to the orbit of two larger bodies, named for a French-Italian creator of the calculus of variations and a namesake multiplier. 
One of these entities may contain Kordylewski clouds, while another one of them contains objects called the Greek Camp.
{Lagrange} points [or {Lagrangian} Points or {libration} point or {L}-{point}; prompt on {L1}, {L2}, {L3}, {L4}, {L5} and {Earth}-{Moon L3} or any similar {term} which {specifies astronomical bodies.}]