Atlas1,904 of 3,942

II.C.278

From Li & Liao (2017)

II.C.278 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 195.33 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 38.34), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000843 of each other at a top speed of 109, line up 320 times a period, and the computed loop closes to 1.3×10⁻²³.

Measured over one period

Period: 195.3285970
Masses: 1 : 1 : 1
Energy: -1.80476
Angular momentum: 0
Closest approach: 8.4×10⁻⁵
Top speed: 108.9
Path length: 537.12
Alignments per period: 320
Topology: ababABababABAbabABAbabABAbabABabaBABabaBABabaBABabaBABababABAbabABAbabABAbaBABababABabaBABabaBABabaBABAbabABAbabABAbabABababABAbaBABabaBABabaBABababABAbabABAbabABAbabABAbabABabaBABabaBABabaBAB (free-group class)
Stability: unstable (|λ|max 38.34)
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.