Atlas1,662 of 3,942

II.C.28

m₃ = 0.5

From Li & Liao (2017)

II.C.28 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 24.776 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 119.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000108 of each other at a top speed of 111, line up 46 times a period, and the computed loop closes to 1.3×10⁻²³.

Measured over one period

Period: 24.77559613
Masses: 1 : 1 : 0.5
Energy: -1.33878
Angular momentum: 0
Closest approach: 1.1×10⁻⁴
Top speed: 111.2
Path length: 70.458
Alignments per period: 46
Topology: aaabAbaBAAAbbAbaaaBAbbAAABaBB (free-group class)
Stability: unstable (|λ|max 119.6)
Loop closure: 1.3×10⁻²³

Neighbours on the map

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