Atlas2,146 of 3,915

II.C.144

m₃ = 0.5

From Li & Liao (2017)

II.C.144 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 130.08 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 2.437), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000425 of each other at a top speed of 177, line up 184 times a period, and the computed loop closes to 7.7×10⁻²⁴.

Measured over one period

Period: 130.0780110
Masses: 1 : 1 : 0.5
Energy: -1.04259
Angular momentum: 0
Closest approach: 4.3×10⁻⁵
Top speed: 177.1
Path length: 304.16
Alignments per period: 184
Stability: weakly unstable (|λ|max 2.437)
Loop closure: 7.7×10⁻²⁴

Neighbours on the map

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