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II.C.188

From Li & Liao (2017)

II.C.188 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 196.65 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 2.284), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000162 of each other at a top speed of 78.7, line up 428 times a period, and the computed loop closes to 1.5×10⁻²⁴.

Measured over one period

Period: 196.6479291
Masses: 1 : 1 : 1
Energy: -2.14370
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 78.67
Path length: 546.77
Alignments per period: 428
Stability: weakly unstable (|λ|max 2.284)
Loop closure: 1.5×10⁻²⁴

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.