Atlas1,967 of 3,915

II.C.82

m₃ = 0.5

From Li & Liao (2017)

II.C.82 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 85.85 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 56.21), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000575 of each other at a top speed of 48.1, line up 114 times a period, and the computed loop closes to 2.1×10⁻²⁴.

Measured over one period

Period: 85.84973034
Masses: 1 : 1 : 0.5
Energy: -1.03333
Angular momentum: 0
Closest approach: 5.8×10⁻⁴
Top speed: 48.12
Path length: 210.22
Alignments per period: 114
Stability: unstable (|λ|max 56.21)
Loop closure: 2.1×10⁻²⁴

Neighbours on the map

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