Celestial dynamics in the vicinity of a stable Lagrange point. Lagrange points in the sun-Jupiter system. In the co-rotating frame, the potentials associated with the three unstable colinear Lagrange points (L1, L2 and L3) are saddle-shaped while those of L4 and L5 are stable, being maxima. The "Greek" and "Trojan" asteroid groups are captured around L4 and L5, respectively. Credit: Luo et al Reliably guiding and capturing optical waves is central to the functioning of various contemporary techn...