Atlas1,943 of 3,942

II.C.78

From Li & Liao (2017)

II.C.78 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 46.756 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 555.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000764 of each other at a top speed of 115, line up 104 times a period, and the computed loop closes to 3.9×10⁻²³.

Measured over one period

Period: 46.75592667
Masses: 1 : 1 : 1
Energy: -2.16965
Angular momentum: 0
Closest approach: 7.6×10⁻⁵
Top speed: 114.5
Path length: 128.05
Alignments per period: 104
Topology: ababABAbabaBABababABABababABABabaBABAbabaBABAbabABABababABAB (free-group class)
Stability: unstable (|λ|max 555.4)
Loop closure: 3.9×10⁻²³

Neighbours on the map

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