Atlas1,594 of 3,915

II.C.34

m₃ = 0.5

From Li & Liao (2017)

II.C.34 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 24.117 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 1932), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00184 of each other at a top speed of 26.8, line up 50 times a period, and the computed loop closes to 6.4×10⁻²⁵.

Measured over one period

Period: 24.11744034
Masses: 1 : 1 : 0.5
Energy: -1.46035
Angular momentum: 0
Closest approach: 0.001844
Top speed: 26.84
Path length: 70.757
Alignments per period: 50
Stability: unstable (|λ|max 1932)
Loop closure: 6.4×10⁻²⁵

Neighbours on the map

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