Atlas1,760 of 3,942

II.C.196

From Li & Liao (2017)

II.C.196 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 46.448 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 136.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00636 of each other at a top speed of 12.6, line up 62 times a period, and the computed loop closes to 9.1×10⁻²⁵.

Measured over one period

Period: 46.44810849
Masses: 1 : 1 : 1
Energy: -1.58808
Angular momentum: 0
Closest approach: 0.006362
Top speed: 12.63
Path length: 121.12
Alignments per period: 62
Topology: ababABababABabaBABabABAbaBABabABAbabAB (free-group class)
Stability: unstable (|λ|max 136.6)
Loop closure: 9.1×10⁻²⁵

Neighbours on the map

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