Atlas2,095 of 3,915

II.C.32

m₃ = 0.5

From Li & Liao (2017)

II.C.32 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 34.362 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 9.986), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000104 of each other at a top speed of 113, line up 56 times a period, and the computed loop closes to 4.9×10⁻²⁴.

Measured over one period

Period: 34.36173373
Masses: 1 : 1 : 0.5
Energy: -1.16217
Angular momentum: 0
Closest approach: 1.0×10⁻⁴
Top speed: 113.3
Path length: 85.266
Alignments per period: 56
Stability: weakly unstable (|λ|max 9.986)
Loop closure: 4.9×10⁻²⁴

Neighbours on the map

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