Atlas2,001 of 3,915

II.C.70

m₃ = 2

From Li & Liao (2017)

II.C.70 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 125.86 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 8.377), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000051 of each other at a top speed of 723, line up 354 times a period, and the computed loop closes to 2.1×10⁻²¹.

Measured over one period

Period: 125.8586099
Masses: 1 : 1 : 2
Energy: -4.06290
Angular momentum: 0
Closest approach: 5.1×10⁻⁶
Top speed: 723.3
Path length: 384.64
Alignments per period: 354
Stability: weakly unstable (|λ|max 8.377)
Loop closure: 2.1×10⁻²¹

Neighbours on the map

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