Question

A stable equilibrium is located near the radius of the Hill sphere in these systems, whose only conserved quantity is the Jacobi integral. A secular exchange between inclination and eccentricity in these systems is driven (20[1])by the Kozai mechanism. When the mass of an object in these systems is negligible, it can follow a Lissajous (“LISS-uh-joo”) orbit around one of (*) five locations where it experiences no net force. (10[1])Trojan asteroids are located at the L4 Lagrange point in these systems. Henri Poincaré (“on-REE PWON-car-ay”) proved (10[1])that these systems typically exhibit chaos and lack analytical solutions, unlike a simpler system described by (10[1])Kepler’s laws. For 10 points, name these systems exemplified by one consisting of (10[1])the Sun, Moon, and Earth. ■END■ (10[3])

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