Atlas1,981 of 3,942

II.C.276

From Li & Liao (2017)

II.C.276 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 177.57 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000166 of each other at a top speed of 246, line up 316 times a period, and the computed loop closes to 4.5×10⁻²³.

Measured over one period

Period: 177.5718856
Masses: 1 : 1 : 1
Energy: -1.89028
Angular momentum: 0
Closest approach: 1.7×10⁻⁵
Top speed: 245.7
Path length: 484.34
Alignments per period: 316
Topology: ababABAbabaBABabaBABababABAbabABABabaBABababABAbabABAbabaBABababABAbabABAbabaBABabaBABAbabABABabaBABabaBABAbabABAbabaBABabaBABAbabABAbabaBABabaBABAbabABAbabABABabaBABAbabABAbabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.5×10⁻²³

Neighbours on the map

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