Atlas1,578 of 3,915

II.C.71

m₃ = 2

From Li & Liao (2017)

II.C.71 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 150.2 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 5.534), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000842 of each other at a top speed of 563, line up 354 times a period, and the computed loop closes to 2.6×10⁻²⁰.

Measured over one period

Period: 150.1955209
Masses: 1 : 1 : 2
Energy: -3.63353
Angular momentum: 0
Closest approach: 8.4×10⁻⁶
Top speed: 562.6
Path length: 480.22
Alignments per period: 354
Stability: weakly unstable (|λ|max 5.534)
Loop closure: 2.6×10⁻²⁰

Neighbours on the map

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