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II.C.172

From Li & Liao (2017)

II.C.172 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 195.62 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 9.304), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000316 of each other at a top speed of 56.3, line up 292 times a period, and the computed loop closes to 1.8×10⁻²⁴.

Measured over one period

Period: 195.6153329
Masses: 1 : 1 : 1
Energy: -1.70701
Angular momentum: 0
Closest approach: 3.2×10⁻⁴
Top speed: 56.30
Path length: 533.27
Alignments per period: 292
Stability: weakly unstable (|λ|max 9.304)
Loop closure: 1.8×10⁻²⁴

Neighbours on the map

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