Atlas1,779 of 3,942

II.C.80

m₃ = 2

From Li & Liao (2017)

II.C.80 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 160.19 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000074 of each other at a top speed of 6, line up 386 times a period, and the computed loop closes to 2.3×10⁻¹⁶.

Measured over one period

Period: 160.1895524
Masses: 1 : 1 : 2
Energy: -3.67388
Angular momentum: 0
Closest approach: 7.4×10⁻⁶
Top speed: 600.4
Path length: 490.85
Alignments per period: 386
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.3×10⁻¹⁶

Neighbours on the map

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