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II.B.4

From Li, Jing & Liao (2018)

II.B.4 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 183.26 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is weakly unstable (largest Floquet multiplier 5.771), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000634 of each other at a top speed of 39.7, line up 192 times a period, and the computed loop closes to 7.0×10⁻²⁵.

Measured over one period

Period: 183.2613462
Masses: 1 : 1 : 1
Energy: -1.37187
Angular momentum: 0
Closest approach: 6.3×10⁻⁴
Top speed: 39.73
Path length: 470.07
Alignments per period: 192
Stability: weakly unstable (|λ|max 5.771)
Loop closure: 7.0×10⁻²⁵

Neighbours on the map

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