Atlas1,641 of 3,915

II.C.76

m₃ = 2

From Li & Liao (2017)

II.C.76 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 185.1 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 0.0000189 of each other at a top speed of 376, line up 374 times a period, and the computed loop closes to 1.8×10⁻²².

Measured over one period

Period: 185.1011957
Masses: 1 : 1 : 2
Energy: -3.27135
Angular momentum: 0
Closest approach: 1.9×10⁻⁵
Top speed: 375.9
Path length: 545.99
Alignments per period: 374
Stability: stable (|λ|max 1.000)
Loop closure: 1.8×10⁻²²

Neighbours on the map

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