Atlas1,945 of 3,942

II.C.277

From Li & Liao (2017)

II.C.277 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 149.09 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 252.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000677 of each other at a top speed of 122, line up 328 times a period, and the computed loop closes to 6.7×10⁻²⁴.

Measured over one period

Period: 149.0890583
Masses: 1 : 1 : 1
Energy: -2.15884
Angular momentum: 0
Closest approach: 6.8×10⁻⁵
Top speed: 121.5
Path length: 415.17
Alignments per period: 328
Topology: ababABAbabaBABababABAbabaBABAbabaBABababABABababABAbabABABababABAbabaBABAbabaBABababABABabaBABababABABababABAbabaBABAbabaBABababABAbabaBABababABABababABAbabaBABAbabABABabaBABAbabaBABababABAB (free-group class)
Stability: unstable (|λ|max 252.2)
Loop closure: 6.7×10⁻²⁴

Neighbours on the map

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