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II.B.9

From Li, Jing & Liao (2018)

II.B.9 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 155.03 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is weakly unstable (largest Floquet multiplier 7.059), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000617 of each other at a top speed of 127, line up 224 times a period, and the computed loop closes to 7.0×10⁻²³.

Measured over one period

Period: 155.0269038
Masses: 1 : 1 : 1
Energy: -1.63287
Angular momentum: 0
Closest approach: 6.2×10⁻⁵
Top speed: 127.3
Path length: 378.16
Alignments per period: 224
Stability: weakly unstable (|λ|max 7.059)
Loop closure: 7.0×10⁻²³

Neighbours on the map

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