Atlas2,021 of 3,915

II.C.260

From Li & Liao (2017)

II.C.260 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 121.6 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.036), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000012 of each other at a top speed of 289, line up 248 times a period, and the computed loop closes to 3.5×10⁻¹⁷.

Measured over one period

Period: 121.6024453
Masses: 1 : 1 : 1
Energy: -2.05507
Angular momentum: 0
Closest approach: 1.2×10⁻⁵
Top speed: 288.6
Path length: 333.98
Alignments per period: 248
Stability: weakly unstable (|λ|max 1.036)
Loop closure: 3.5×10⁻¹⁷

Neighbours on the map

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