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II.C.198

From Li & Liao (2017)

II.C.198 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 131.57 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 8007), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00641 of each other at a top speed of 12.7, line up 60 times a period, and the computed loop closes to 1.2×10⁻²⁴.

Measured over one period

Period: 131.5712571
Masses: 1 : 1 : 1
Energy: -0.786806
Angular momentum: 0
Closest approach: 0.006408
Top speed: 12.66
Path length: 244.29
Alignments per period: 60
Stability: unstable (|λ|max 8007)
Loop closure: 1.2×10⁻²⁴

Neighbours on the map

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