M22 y2 Vx 1 m22 y2

and the Figure 11.1 shows a selection of such curves when m2 = 0.1. The points A and B are the two primaries and the curves are obviously symmetric with respect to the line AB. The value of C is a minimum at the point labelled L4 and increases without bound as one approaches either A, B, or infinity. It follows, therefore, that if, for a particular system, C is sufficiently large and the mass m3 is close to either A or B, then it will remain in the vicinity of that primary. The points L1-L 4 are stationary points of the function U(x, y)

28 See Murray and Dermott (1999), Section 3.4, for more details.

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