Atlas2,016 of 3,915

II.C.181

From Li & Liao (2017)

II.C.181 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 171.5 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 1.002), so a small nudge only makes it wobble. The bodies pass within 0.0000157 of each other at a top speed of 253, line up 350 times a period, and the computed loop closes to 4.4×10⁻¹⁹.

Measured over one period

Period: 171.4994465
Masses: 1 : 1 : 1
Energy: -2.04877
Angular momentum: 0
Closest approach: 1.6×10⁻⁵
Top speed: 252.7
Path length: 460.90
Alignments per period: 350
Stability: stable (|λ|max 1.002)
Loop closure: 4.4×10⁻¹⁹

Neighbours on the map

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