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II.A.2

From Li, Jing & Liao (2018)

II.A.2 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 135.86 time units, published by Li, Jing & Liao (2018). Class II.A orbits with an unequal third mass. It is unstable (largest Floquet multiplier 405), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00214 of each other at a top speed of 21.6, line up 122 times a period, and the computed loop closes to 4.6×10⁻²⁵.

Measured over one period

Period: 135.8627728
Masses: 1 : 1 : 1
Energy: -1.23860
Angular momentum: 0
Closest approach: 0.002144
Top speed: 21.60
Path length: 338.50
Alignments per period: 122
Stability: unstable (|λ|max 405.0)
Loop closure: 4.6×10⁻²⁵

Neighbours on the map

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