Atlas2,157 of 3,915

II.C.128

m₃ = 0.5

From Li & Liao (2017)

II.C.128 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 142.88 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 33.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000337 of each other at a top speed of 62.9, line up 162 times a period, and the computed loop closes to 1.2×10⁻²⁴.

Measured over one period

Period: 142.8829851
Masses: 1 : 1 : 0.5
Energy: -0.913219
Angular momentum: 0
Closest approach: 3.4×10⁻⁴
Top speed: 62.86
Path length: 311.70
Alignments per period: 162
Stability: unstable (|λ|max 33.10)
Loop closure: 1.2×10⁻²⁴

Neighbours on the map

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