Atlas1,461 of 3,915

II.C.23

m₃ = 2

From Li & Liao (2017)

II.C.23 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 71.468 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 4.270), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000267 of each other at a top speed of 99.9, line up 146 times a period, and the computed loop closes to 1.1×10⁻²⁴.

Measured over one period

Period: 71.46781550
Masses: 1 : 1 : 2
Energy: -3.31921
Angular momentum: 0
Closest approach: 2.7×10⁻⁴
Top speed: 99.90
Path length: 227.39
Alignments per period: 146
Stability: weakly unstable (|λ|max 4.270)
Loop closure: 1.1×10⁻²⁴

Neighbours on the map

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