Atlas2,104 of 3,915

II.C.134

m₃ = 0.5

From Li & Liao (2017)

II.C.134 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 114.81 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 4.477), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000151 of each other at a top speed of 93.8, line up 168 times a period, and the computed loop closes to 3.5×10⁻²⁴.

Measured over one period

Period: 114.8135153
Masses: 1 : 1 : 0.5
Energy: -1.08139
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 93.83
Path length: 280.22
Alignments per period: 168
Stability: weakly unstable (|λ|max 4.477)
Loop closure: 3.5×10⁻²⁴

Neighbours on the map

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