Atlas1,961 of 3,915

II.C.146

m₃ = 0.5

From Li & Liao (2017)

II.C.146 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 131.71 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 1.474), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000107 of each other at a top speed of 112, line up 180 times a period, and the computed loop closes to 3.2×10⁻²⁴.

Measured over one period

Period: 131.7075390
Masses: 1 : 1 : 0.5
Energy: -1.04239
Angular momentum: 0
Closest approach: 1.1×10⁻⁴
Top speed: 111.6
Path length: 319.72
Alignments per period: 180
Stability: weakly unstable (|λ|max 1.474)
Loop closure: 3.2×10⁻²⁴

Neighbours on the map

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