Atlas1,944 of 3,942

II.C.30

From Li & Liao (2017)

II.C.30 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 40.593 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 236.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000666 of each other at a top speed of 123, line up 90 times a period, and the computed loop closes to 1.6×10⁻²⁴.

Measured over one period

Period: 40.59314699
Masses: 1 : 1 : 1
Energy: -2.16688
Angular momentum: 0
Closest approach: 6.7×10⁻⁵
Top speed: 122.6
Path length: 111.83
Alignments per period: 90
Topology: ababABAbabaBABababABABababABAbabaBABAbabaBABababABAB (free-group class)
Stability: unstable (|λ|max 236.5)
Loop closure: 1.6×10⁻²⁴

Neighbours on the map

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